Question 1

Sketch the graph of the equation y = 4|x - 3| + 2.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 2

Determine which point lies on the graph of the equation $$9 x ^ { 2 } + 4 x - 10$$

Accepted Answer

A) (0,-10) 
B) (1,-10) 
C) (0,-12) 
D) (2,-11) 
E) (1,-12) 
A) (0,-10) 
B) (1,-10) 
C) (0,-12) 
D) (2,-11) 
E) (1,-12)

Question 3

Determine which of the following point lies on the graph of the equation.$$y = \sqrt { x + 62 }$$

Accepted Answer

A) (2,10) 
B) (2,9) 
C) (2,8) 
D) (9,8) 
E) (3,8) 
A) (2,10) 
B) (2,9) 
C) (2,8) 
D) (9,8) 
E) (3,8)

Question 4

Graph the circle $$( x - 2 ) ^ { 2 } + ( y - 8 ) ^ { 2 } = 25$$ . ?

Accepted Answer

A)    
B)    
C)    
D)    
E) None of the above. 
A)    
B)    
C)    
D)    
E) None of the above.

Question 5

Determine which point does not lie on the graph of the equation $$y = - 8 - | x - 5 |$$

Accepted Answer

A) (-2,-15) 
B) (-4,-17) 
C) (7,-10) 
D) (4,-6) 
E) (0,-13) 
A) (-2,-15) 
B) (-4,-17) 
C) (7,-10) 
D) (4,-6) 
E) (0,-13)

Question 6

Graphically estimate the x- and y-intercepts of the graph. $$y = 3 - 3 x ^ { 3 }$$

Accepted Answer

A) x-intercept: (0,1) y-intercept: (0,3) 
B) x-intercept: (1,0) y-intercept: (3,0) 
C) x-intercept: (0,1) y-intercept: (3,0) 
D) x-intercept: (1,0) y-intercept: (0,3) 
E) x-intercept: (1,0) y-intercept: (0,-3) 
A) x-intercept: (0,1) y-intercept: (0,3) 
B) x-intercept: (1,0) y-intercept: (3,0) 
C) x-intercept: (0,1) y-intercept: (3,0) 
D) x-intercept: (1,0) y-intercept: (0,3) 
E) x-intercept: (1,0) y-intercept: (0,-3)

Question 7

Complete the table.Use the resulting solution points to sketch the graph of the equation. $y = 5 - x ^ { 2 }$ 
$$\begin{array} { | c | l | l | l | l | l | } 
\hline x & 4 & 5 & - 5 & - 2 & - 3 \
\hline y & & & & & \
\hline ( x , y ) & & & & & \
\hline
\end{array}$$

Accepted Answer

A) $\begin{array} { | c | c | c | c | c | c | } 
\hline x & 4 & 5 & - 5 & - 2 & - 3 \
\hline y & - 11 & - 20 & - 20 & 1 & - 4 \
\hline ( x , y ) & ( 4 , - 11 ) & ( - 20,5 ) & ( - 20 , - 5 ) & ( - 2,1 ) & ( - 3 , - 4 ) \
\hline
\end{array}$
  
B) $\begin{array} { | c | c | c | c | c | c | } 
\hline x & 4 & 5 & - 5 & - 2 & - 3 \
\hline y & - 11 & - 20 & - 20 & 1 & - 4 \
\hline ( x , y ) & ( 4 , - 11 ) & ( 5 , - 20 ) & ( - 5 , - 20 ) & ( - 2,1 ) & ( - 3 , - 4 ) \
\hline
\end{array}$
  
C) $\begin{array} { | c | c | c | c | c | c | } 
\hline x & 4 & 5 & - 5 & - 2 & - 3 \
\hline y & - 11 & - 20 & - 20 & 1 & - 4 \
\hline ( x , y ) & ( 4 , - 11 ) & ( 5 , - 20 ) & ( - 5 , - 20 ) & ( - 2,1 ) & ( - 3 , - 4 ) \
\hline
\end{array}$
  
D) $\begin{array} { | c | c | c | c | c | c | } 
\hline x & 4 & 5 & - 5 & - 2 & - 3 \
\hline y & - 11 & - 20 & - 20 & 1 & - 4 \
\hline ( x , y ) & ( 4 , - 11 ) & ( 5 , - 20 ) & ( - 20 , - 5 ) & ( - 2,1 ) & ( - 4 , - 3 ) \
\hline
\end{array}$
  
E) $\begin{array} { | c | c | c | c | c | c | } 
\hline x & 4 & 5 & - 5 & - 2 & - 3 \
\hline y & - 11 & - 20 & - 20 & 1 & - 4 \
\hline ( x , y ) & ( - 11,4 ) & ( - 20,5 ) & ( - 5 , - 20 ) & ( - 2,1 ) & ( - 3 , - 4 ) \
\hline
\end{array}$
  
A) $\begin{array} { | c | c | c | c | c | c | } 
\hline x & 4 & 5 & - 5 & - 2 & - 3 \
\hline y & - 11 & - 20 & - 20 & 1 & - 4 \
\hline ( x , y ) & ( 4 , - 11 ) & ( - 20,5 ) & ( - 20 , - 5 ) & ( - 2,1 ) & ( - 3 , - 4 ) \
\hline
\end{array}$
  
B) $\begin{array} { | c | c | c | c | c | c | } 
\hline x & 4 & 5 & - 5 & - 2 & - 3 \
\hline y & - 11 & - 20 & - 20 & 1 & - 4 \
\hline ( x , y ) & ( 4 , - 11 ) & ( 5 , - 20 ) & ( - 5 , - 20 ) & ( - 2,1 ) & ( - 3 , - 4 ) \
\hline
\end{array}$
  
C) $\begin{array} { | c | c | c | c | c | c | } 
\hline x & 4 & 5 & - 5 & - 2 & - 3 \
\hline y & - 11 & - 20 & - 20 & 1 & - 4 \
\hline ( x , y ) & ( 4 , - 11 ) & ( 5 , - 20 ) & ( - 5 , - 20 ) & ( - 2,1 ) & ( - 3 , - 4 ) \
\hline
\end{array}$
  
D) $\begin{array} { | c | c | c | c | c | c | } 
\hline x & 4 & 5 & - 5 & - 2 & - 3 \
\hline y & - 11 & - 20 & - 20 & 1 & - 4 \
\hline ( x , y ) & ( 4 , - 11 ) & ( 5 , - 20 ) & ( - 20 , - 5 ) & ( - 2,1 ) & ( - 4 , - 3 ) \
\hline
\end{array}$
  
E) $\begin{array} { | c | c | c | c | c | c | } 
\hline x & 4 & 5 & - 5 & - 2 & - 3 \
\hline y & - 11 & - 20 & - 20 & 1 & - 4 \
\hline ( x , y ) & ( - 11,4 ) & ( - 20,5 ) & ( - 5 , - 20 ) & ( - 2,1 ) & ( - 3 , - 4 ) \
\hline
\end{array}$

Question 8

Find any x- or y-intercepts for the graph of the equation $$y = x ^ { 2 } - 8 x + 12$$

Accepted Answer

A) x-intercepts: (0,12) y-intercepts: (2,0), (6,0) 
B) x-intercepts: (-2,0), (-6,0) y-intercepts: (0,12) 
C) x-intercepts: (2,0), (6,0) y-intercepts: none 
D) x-intercepts: (0,2), (0,6) y-intercepts: (12,0) 
E) x-intercepts: (2,0), (6,0) y-intercepts: (0,12) 
A) x-intercepts: (0,12) y-intercepts: (2,0), (6,0) 
B) x-intercepts: (-2,0), (-6,0) y-intercepts: (0,12) 
C) x-intercepts: (2,0), (6,0) y-intercepts: none 
D) x-intercepts: (0,2), (0,6) y-intercepts: (12,0) 
E) x-intercepts: (2,0), (6,0) y-intercepts: (0,12)

Question 9

Graphically estimate the x- and y-intercepts of the graph. 
Y = |x + 3|

Accepted Answer

A) x-intercept: (-3,0) y-intercept: (0,3) 
B) x-intercept: (0,-3) y-intercept: (3,0) 
C) x-intercept: (0,-3) y-intercept: (0,3) 
D) x-intercept: (3,0) y-intercept: (3,0) 
E) x-intercept: (0,3) y-intercept: (3,0) 
A) x-intercept: (-3,0) y-intercept: (0,3) 
B) x-intercept: (0,-3) y-intercept: (3,0) 
C) x-intercept: (0,-3) y-intercept: (0,3) 
D) x-intercept: (3,0) y-intercept: (3,0) 
E) x-intercept: (0,3) y-intercept: (3,0)

Question 10

Use a graphing utility to graph the equation.Use a standard setting.Approximate any intercepts. $y = x ^ { 2 } - 4$

Accepted Answer

A)    Intercepts: (-2,0), (2,0), (0,4) 
B)    Intercepts: (-2,0), (0,-4) 
C)    Intercepts: (-2,0), (2,0), (0,-4) 
D)    Intercepts: (2,0), (0,-4) 
E)    Intercepts: (2,0), (0,4) 
A)    Intercepts: (-2,0), (2,0), (0,4) 
B)    Intercepts: (-2,0), (0,-4) 
C)    Intercepts: (-2,0), (2,0), (0,-4) 
D)    Intercepts: (2,0), (0,-4) 
E)    Intercepts: (2,0), (0,4)

Question 11

Use a graphing utility to graph the equation.Use a standard setting.Approximate any intercepts. $$y = x ^ { 2 } - 2 x$$

Accepted Answer

A)    Intercepts: (0,0), (-2,0) 
B)    Intercepts: (0,0) 
C)    Intercepts: (0,0), (2,0) 
D)    Intercepts: (2,0), (0,0) 
E)    Intercepts: (-2,0), (0,0) 
A)    Intercepts: (0,0), (-2,0) 
B)    Intercepts: (0,0) 
C)    Intercepts: (0,0), (2,0) 
D)    Intercepts: (2,0), (0,0) 
E)    Intercepts: (-2,0), (0,0)

Question 12

Find the value of y that corresponds to x = -4 in the graph of the equation 2x + 3y = 13.

Accepted Answer

A) 9 
B) -7 
C) -9 
D) 21 
E) 7 
A) 9 
B) -7 
C) -9 
D) 21 
E) 7

Question 13

Use a graphing utility to graph the equation.Use a standard setting.Approximate any intercepts. $$y = 7 - \frac { 1 } { 2 } x$$

Accepted Answer

A) Intercepts: (0,7), (-14,0)    
B) Intercepts: (-14,0), (0,-7)    
C) Intercepts: (14,0), (0,-7)    
D) Intercepts: (0,8), (15,0)    
E) Intercepts: (14,0), (0,7)    
A) Intercepts: (0,7), (-14,0)    
B) Intercepts: (-14,0), (0,-7)    
C) Intercepts: (14,0), (0,-7)    
D) Intercepts: (0,8), (15,0)    
E) Intercepts: (14,0), (0,7)

Question 14

Find the x-intercept of the graph of the equation $$y = 3 \sqrt { x - 6 }$$ .

Accepted Answer

A) (0,-6) 
B) (0,6) 
C) (6,0) 
D) (-6,0) 
E) (0,-18) 
A) (0,-6) 
B) (0,6) 
C) (6,0) 
D) (-6,0) 
E) (0,-18)

Question 15

Complete the table
-Use the resulting solution points to sketch the graph of the equation. 
y = -2x + 3
$$\begin{array} { | c | c | c | c | c | c | } 
\hline x & - 1 & 0 & 1 & 4 & \frac { 9 } { 2 } \
\hline y & & & & & \
\hline ( x , y ) & & & & & \
\hline
\end{array}$$

Accepted Answer

A) $$\begin{array} { | c | c | c | c | c | c | } 
\hline \ x & - 1 & 0 & 1 & 4 & \frac { 9 } { 2 } \\
\hline \ y&5 & 3 & 1 & -5 & -6 \\
\hline \ (x, y)&(-1,5) & (0,3) & (1,1) & (4,-5) & \left(\frac{9}{2}, 9\right)\\
\hline
\end{array}$$   
B) $$\begin{array} { | c | c | c | c | c | c | } 
\hline x & - 1 & 0 & 1 & 4 & \frac { 9 } { 2 } \
\hline y & 5 & 3 & 1 & - 5 & - 6 \
\hline ( x , y ) & ( - 1  , 5 ) & ( 0,1 ) & ( 1,3 ) & ( 4 , - 5 ) & (\frac { 9 } { 2 },-6) \
\hline
\end{array}$$   
C) $$\begin{array} { | c | c | c | c | c | c | } 
\hline \x & - 1 & 0 & 1 & 4 & \frac { 9 } { 2 } \\
\hline \y & 5 & 3 & 1 & - 5 & - 6 \\
\hline \( x , y ) & ( 5 , - 1 ) & ( 3,0 ) & ( 1,1 ) & ( 4 , - 5 ) & \left( \frac { 9 } { 2 } , - 6 \right) \\
\hline
\end{array}$$   
D) $$\begin{array} { | c | c | c | c | c | c | } 
\hline x & - 1 & 0 & 1 & 4 & \frac { 9 } { 2 } \
\hline y & 5 & 3 & 1 & - 5 & -6 \
\hline ( x , y ) & ( - 1,5 ) & ( 3,0 ) & ( 1,1 ) & ( 4 , - 5 ) & (\frac{9}{2} ,- 6 ) \
\hline
\end{array}$$   
E) $$\begin{array} { | c | c | c | c | c | c | } 
\hline x & - 1 & 0 & 1 & 4 & \frac { 9 } { 2 } \
\hline y & 5 & 3 & 1 & - 5 & - 6 \
\hline ( x , y ) & ( - 1,5 ) & ( 0,3 ) & ( 1,1 ) & ( 4 , - 5 ) & \left. (\frac { 9 } { 2 } , - 6 \right) \
\hline
\end{array}$$
  
A) $$\begin{array} { | c | c | c | c | c | c | } 
\hline \ x & - 1 & 0 & 1 & 4 & \frac { 9 } { 2 } \\
\hline \ y&5 & 3 & 1 & -5 & -6 \\
\hline \ (x, y)&(-1,5) & (0,3) & (1,1) & (4,-5) & \left(\frac{9}{2}, 9\right)\\
\hline
\end{array}$$   
B) $$\begin{array} { | c | c | c | c | c | c | } 
\hline x & - 1 & 0 & 1 & 4 & \frac { 9 } { 2 } \
\hline y & 5 & 3 & 1 & - 5 & - 6 \
\hline ( x , y ) & ( - 1  , 5 ) & ( 0,1 ) & ( 1,3 ) & ( 4 , - 5 ) & (\frac { 9 } { 2 },-6) \
\hline
\end{array}$$   
C) $$\begin{array} { | c | c | c | c | c | c | } 
\hline \x & - 1 & 0 & 1 & 4 & \frac { 9 } { 2 } \\
\hline \y & 5 & 3 & 1 & - 5 & - 6 \\
\hline \( x , y ) & ( 5 , - 1 ) & ( 3,0 ) & ( 1,1 ) & ( 4 , - 5 ) & \left( \frac { 9 } { 2 } , - 6 \right) \\
\hline
\end{array}$$   
D) $$\begin{array} { | c | c | c | c | c | c | } 
\hline x & - 1 & 0 & 1 & 4 & \frac { 9 } { 2 } \
\hline y & 5 & 3 & 1 & - 5 & -6 \
\hline ( x , y ) & ( - 1,5 ) & ( 3,0 ) & ( 1,1 ) & ( 4 , - 5 ) & (\frac{9}{2} ,- 6 ) \
\hline
\end{array}$$   
E) $$\begin{array} { | c | c | c | c | c | c | } 
\hline x & - 1 & 0 & 1 & 4 & \frac { 9 } { 2 } \
\hline y & 5 & 3 & 1 & - 5 & - 6 \
\hline ( x , y ) & ( - 1,5 ) & ( 0,3 ) & ( 1,1 ) & ( 4 , - 5 ) & \left. (\frac { 9 } { 2 } , - 6 \right) \
\hline
\end{array}$$

Question 16

Complete the table. $$y = \frac { 3 } { 4 } x - 1$$ 
$$\begin{array} { | c | c | c | c | c | c | } 
\hline x & - 12 & - 8 & 4 & 12 & 16 \
\hline y & & & & & \
\hline ( x , y ) & & & & & \
\hline
\end{array}$$

Accepted Answer

A)  $$\begin{array} { | c | c | c | c | c | c | } 
\hline x & - 12 & - 8 & 4 & 12 & 16 \
\hline y & - 10 & - 7 & 2 & 8 & 11 \
\hline ( x , y ) & ( - 10 , - 12 ) & ( - 7 , - 8 ) & ( 4,2 ) & ( 12,8 ) & ( 16,11 ) \
\hline
\end{array}$$ 
B)  $$\begin{array} { | c | c | c | c | c | c | } 
\hline x & - 12 & - 8 & 4 & 12 & 16 \
\hline y & - 10 & - 7 & 2 & 8 & 11 \
\hline ( x , y ) & ( - 12 , - 10 ) & ( - 8 , - 7 ) & ( 2,4 ) & ( 12,8 ) & ( 11,16 ) \
\hline
\end{array}$$ 
C)  $$\begin{array} { | c | c | c | c | c | c | } 
\hline x & - 12 & - 8 & 4 & 12 & 16 \
\hline y & - 10 & - 7 & 2 & 8 & 11 \
\hline ( x , y ) & ( - 12 , - 10 ) & ( - 7 , - 8 ) & ( 2,4 ) & ( 12,8 ) & ( 16,11 ) \
\hline
\end{array}$$ 
D)  $$\begin{array} { | c | c | c | c | c | c | } 
\hline x & - 12 & - 8 & 4 & 12 & 16 \
\hline y & - 10 & - 7 & 2 & 8 & 11 \
\hline ( x , y ) & ( - 12 , - 10 ) & ( - 8 , - 7 ) & ( 4,2 ) & ( 12,8 ) & ( 16,11 ) \
\hline
\end{array}$$ 
E)  $$\begin{array} { | c | c | c | c | c | c | } 
\hline x & - 12 & - 8 & 4 & 12 & 16 \
\hline y & - 10 & - 7 & 2 & 8 & 11 \
\hline ( x , y ) & ( - 12 , - 10 ) & ( - 8,2 ) & ( 4 , - 7 ) & ( 12,8 ) & ( 16,11 ) \
\hline
\end{array}$$ 
A)  $$\begin{array} { | c | c | c | c | c | c | } 
\hline x & - 12 & - 8 & 4 & 12 & 16 \
\hline y & - 10 & - 7 & 2 & 8 & 11 \
\hline ( x , y ) & ( - 10 , - 12 ) & ( - 7 , - 8 ) & ( 4,2 ) & ( 12,8 ) & ( 16,11 ) \
\hline
\end{array}$$ 
B)  $$\begin{array} { | c | c | c | c | c | c | } 
\hline x & - 12 & - 8 & 4 & 12 & 16 \
\hline y & - 10 & - 7 & 2 & 8 & 11 \
\hline ( x , y ) & ( - 12 , - 10 ) & ( - 8 , - 7 ) & ( 2,4 ) & ( 12,8 ) & ( 11,16 ) \
\hline
\end{array}$$ 
C)  $$\begin{array} { | c | c | c | c | c | c | } 
\hline x & - 12 & - 8 & 4 & 12 & 16 \
\hline y & - 10 & - 7 & 2 & 8 & 11 \
\hline ( x , y ) & ( - 12 , - 10 ) & ( - 7 , - 8 ) & ( 2,4 ) & ( 12,8 ) & ( 16,11 ) \
\hline
\end{array}$$ 
D)  $$\begin{array} { | c | c | c | c | c | c | } 
\hline x & - 12 & - 8 & 4 & 12 & 16 \
\hline y & - 10 & - 7 & 2 & 8 & 11 \
\hline ( x , y ) & ( - 12 , - 10 ) & ( - 8 , - 7 ) & ( 4,2 ) & ( 12,8 ) & ( 16,11 ) \
\hline
\end{array}$$ 
E)  $$\begin{array} { | c | c | c | c | c | c | } 
\hline x & - 12 & - 8 & 4 & 12 & 16 \
\hline y & - 10 & - 7 & 2 & 8 & 11 \
\hline ( x , y ) & ( - 12 , - 10 ) & ( - 8,2 ) & ( 4 , - 7 ) & ( 12,8 ) & ( 16,11 ) \
\hline
\end{array}$$

Question 17

Use a graphing utility to graph the equation.Use a standard setting.Approximate any intercepts. 
Y = |x + 2|

Accepted Answer

A) Intercepts: (0,-2), (0,2)    
B) Intercepts: (-2,0), (0,-2)    
C) Intercepts: (2,0), (0,2)    
D) Intercepts: (-2,0), (0,2)    
E) Intercepts: (-2,0), (2,0)    
A) Intercepts: (0,-2), (0,2)    
B) Intercepts: (-2,0), (0,-2)    
C) Intercepts: (2,0), (0,2)    
D) Intercepts: (-2,0), (0,2)    
E) Intercepts: (-2,0), (2,0)

Question 18

Identify any intercepts and test for symmetry.Then sketch the graph of the equation. 
Y = x2 - 4x

Accepted Answer

A) x-intercept : (0,0), (4,0) y-intercept : (0,0)
No symmetry
   
B) x-intercept : (0,0), (-4,0) y-intercept : (0,1)
No symmetry   
C) x-intercept : (4,0), (4,0) y-intercept : (0,1)
No symmetry
   
D) x-intercept : (0,0), (4,0) y-intercept : (0,1)
No symmetry
   
E) x-intercept : (0,0), (4,0) y-intercept : (0,-1)
No symmetry   
A) x-intercept : (0,0), (4,0) y-intercept : (0,0)
No symmetry
   
B) x-intercept : (0,0), (-4,0) y-intercept : (0,1)
No symmetry   
C) x-intercept : (4,0), (4,0) y-intercept : (0,1)
No symmetry
   
D) x-intercept : (0,0), (4,0) y-intercept : (0,1)
No symmetry
   
E) x-intercept : (0,0), (4,0) y-intercept : (0,-1)
No symmetry

Question 19

You purchase an all-terrain vehicle (ATV)for $2,000.The depreciated value y after t years is given by y = 2,000 – 500t, 0 ≤ t ≤ 6. .Sketch the graph of the equation.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 20

Find the center and radius of the circle,and sketch its graph.$$x ^ { 2 } + y ^ { 2 } = 16$$

Accepted Answer

A) Centre (0,0),Radius 16    
B) Centre (0,0),Radius 4    
C) Centre (0,0),Radius 4    
D) Centre (0,0),Radius 16    
E) Centre (0,0),Radius 4    
A) Centre (0,0),Radius 16    
B) Centre (0,0),Radius 4    
C) Centre (0,0),Radius 4    
D) Centre (0,0),Radius 16    
E) Centre (0,0),Radius 4

Exam 2: Graphs of Equations

Sketch the graph of the equation y = 4|x - 3| + 2.

Determine which point lies on the graph of the equation 9x2+4x−109 x ^ { 2 } + 4 x - 109x2+4x−10

Determine which of the following point lies on the graph of the equation. y=x+62y = \sqrt { x + 62 }y=x+62​

Graph the circle (x−2)2+(y−8)2=25( x - 2 ) ^ { 2 } + ( y - 8 ) ^ { 2 } = 25(x−2)2+(y−8)2=25 . ?

Determine which point does not lie on the graph of the equation y=−8−∣x−5∣y = - 8 - | x - 5 |y=−8−∣x−5∣

Graphically estimate the x- and y-intercepts of the graph. y=3−3x3y = 3 - 3 x ^ { 3 }y=3−3x3

Complete the table.Use the resulting solution points to sketch the graph of the equation. y=5−x2y = 5 - x ^ { 2 }y=5−x2 x 4 5 -5 -2 -3 y (x,y)

Find any x- or y-intercepts for the graph of the equation y=x2−8x+12y = x ^ { 2 } - 8 x + 12y=x2−8x+12

Graphically estimate the x- and y-intercepts of the graph. Y = |x + 3|

Use a graphing utility to graph the equation.Use a standard setting.Approximate any intercepts. y=x2−4y = x ^ { 2 } - 4y=x2−4

Use a graphing utility to graph the equation.Use a standard setting.Approximate any intercepts. y=x2−2xy = x ^ { 2 } - 2 xy=x2−2x

Find the value of y that corresponds to x = -4 in the graph of the equation 2x + 3y = 13.

Use a graphing utility to graph the equation.Use a standard setting.Approximate any intercepts. y=7−12xy = 7 - \frac { 1 } { 2 } xy=7−21​x

Find the x-intercept of the graph of the equation y=3x−6y = 3 \sqrt { x - 6 }y=3x−6​ .

Complete the table -Use the resulting solution points to sketch the graph of the equation. y = -2x + 3 x -1 0 1 4 y (x,y)

Complete the table. y=34x−1y = \frac { 3 } { 4 } x - 1y=43​x−1 x -12 -8 4 12 16 y (x,y)

Use a graphing utility to graph the equation.Use a standard setting.Approximate any intercepts. Y = |x + 2|

Identify any intercepts and test for symmetry.Then sketch the graph of the equation. Y = x2 - 4x

You purchase an all-terrain vehicle (ATV)for $2,000.The depreciated value y after t years is given by y = 2,000 – 500t, 0 ≤ t ≤ 6. .Sketch the graph of the equation.

Find the center and radius of the circle,and sketch its graph. x2+y2=16x ^ { 2 } + y ^ { 2 } = 16x2+y2=16

Rectangular Coordinates

Linear Equations in Two Variables

Functions

Analyzing Graphs of Functions

A Library of Parent Functions

Transformations of Functions

Combinations of Functions Composite Functions

Inverse Functions

Mathematical Modeling and Variation

Quadratic Functions and Models

Polynomial Functions of Higher Degree

Polynomial and Synthetic Division

Complex Numbers

Zeros of Polynomial Functions

Rational Functions

Nonlinear Inequalities

Exponential Functions and Their Graphs

Logarithmic Functions and Their Graphs

Properties of Logarithms

Exponential and Logarithmic Equations

Exponential and Logarithmic Models

Radian and Degree Measure

Trigonometric Functions The Unit Circle

Right Triangle Trigonometry

Trigonometric Functions of Any Angle

Graphs of Sine and Cosine Functions

Graphs of Other Trigonometric Functions

Inverse Trigonometric Functions

Applications and Models

Using Fundamental Identities

Verifying Trigonometric Equations

Solving Trigonometric Equations

Sum and Difference Formulas

Multiple Angle and Product to Sum Formulas

Law of Sines

Law of Cosines

Vectors in the Plane

Vectors and Dot Products

Trigonometric Form of a Complex Number

Linear and Nonlinear Systems of Equations

Two Variable Linear Systems

Multivariable Linear Systems

Partial Fractions

Systems of Inequalities

Linear Programming

Matrices and Systems of Equations

Operations With Matrices

The Inverse of a Square Matrix

The Determinant of a Square Matrix

Applications of Matrices and Determinants

Sequences and Series

Arithmetic Sequences and Partial Sums

Geometric Sequences and Series

Mathematical Induction

The Binomial Theorem

Counting Principles

Probability

Lines

Introduction to Conics Parabolas

Determine which point lies on the graph of the equation $9 x ^ { 2 } + 4 x - 10$

Determine which of the following point lies on the graph of the equation. $y = \sqrt { x + 62 }$

Graph the circle $( x - 2 ) ^ { 2 } + ( y - 8 ) ^ { 2 } = 25$ . ?

Determine which point does not lie on the graph of the equation $y = - 8 - | x - 5 |$

Graphically estimate the x- and y-intercepts of the graph. $y = 3 - 3 x ^ { 3 }$ $Graphically estimate the x- and y-intercepts of the graph. y = 3 - 3 x ^ { 3 }$

Complete the table.Use the resulting solution points to sketch the graph of the equation. $y = 5 - x ^ { 2 }$ x 4 5 -5 -2 -3 y (x,y)

Find any x- or y-intercepts for the graph of the equation $y = x ^ { 2 } - 8 x + 12$

Use a graphing utility to graph the equation.Use a standard setting.Approximate any intercepts. $y = x ^ { 2 } - 4$

Use a graphing utility to graph the equation.Use a standard setting.Approximate any intercepts. $y = x ^ { 2 } - 2 x$

Use a graphing utility to graph the equation.Use a standard setting.Approximate any intercepts. $y = 7 - \frac { 1 } { 2 } x$

Find the x-intercept of the graph of the equation $y = 3 \sqrt { x - 6 }$ .

Complete the table. $y = \frac { 3 } { 4 } x - 1$ x -12 -8 4 12 16 y (x,y)

Identify any intercepts and test for symmetry.Then sketch the graph of the equation. Y = x² - 4x

Find the center and radius of the circle,and sketch its graph. $x ^ { 2 } + y ^ { 2 } = 16$