Question 1

Find the equation of the circle that passes through the origin and has its center at ( $-$ 27, 36).

Accepted Answer

A)  x  2 + y  2 + 27 x + 36 y = 0 
B)  x 2 + y 2 + 27 x $-$ 36 y = 0 
C)  x  2 + y  2 + 54 x + 72 y = 0 
D)  x 2 + y 2 + 54 x $-$ 72 y = 0 
E)  x 2 + y 2 + 72 x $-$ 54 y = 0 
A)  x  2 + y  2 + 27 x + 36 y = 0 
B)  x 2 + y 2 + 27 x $-$ 36 y = 0 
C)  x  2 + y  2 + 54 x + 72 y = 0 
D)  x 2 + y 2 + 54 x $-$ 72 y = 0 
E)  x 2 + y 2 + 72 x $-$ 54 y = 0 D

Question 2

Identify the graph of the ellipse. 4 x  2 + y  2 = 36

Accepted Answer

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

Question 3

Determine the type of symmetry (symmetry with respect to the x axis, y axis, or origin) exhibited by the graph of the equation: x 2 $-$ 4 x $-$ y 2 = 3.

Accepted Answer

A)  symmetry with respect to the x axis 
B)  symmetry with respect to the origin 
C)  symmetry with respect to the y axis 
A)  symmetry with respect to the x axis 
B)  symmetry with respect to the origin 
C)  symmetry with respect to the y axis A

Question 4

Identify the graph of the parabola. y = 2 x  2 + 8 x + 13

Accepted Answer

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

Question 5

Graph the parabola. $y = 3 ( x + 1 ) ^ { 2 } - 7$

Accepted Answer

A)    
B)    
C)    
A)    
B)    
C)

Question 6

Graph the hyperbola. $x ^ { 2 } - 6 x - y ^ { 2 } + 4 y - 11 = 0$

Accepted Answer

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

Question 7

For the circle $( x - 2 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 9$ , the vertex is $( 2 , - 1 )$ .

Accepted Answer

A) True 
 B)False

Question 8

Match each item with the correct graph to obtain a true statement.
-$\phi$

Accepted Answer

A)  $x ^ { 2 } + 2 y ^ { 2 } = 0$ 
B)  $x ^ { 2 } + 2 y ^ { 2 } = 16$ 
C)  $x ^ { 2 } + 2 y ^ { 2 } = - 16$ 
A)  $x ^ { 2 } + 2 y ^ { 2 } = 0$ 
B)  $x ^ { 2 } + 2 y ^ { 2 } = 16$ 
C)  $x ^ { 2 } + 2 y ^ { 2 } = - 16$

Question 9

Graph the equation 2 x  2 + 5 y  2 = 0.

Accepted Answer

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

Question 10

What is the graph of x 2 + 2 y 2 = $-$ 25?

Accepted Answer

A)  ellipse 
B)  empty set 
C)  point 
A)  ellipse 
B)  empty set 
C)  point

Question 11

Find the slope of the line determined by the points ( $-$ 7, 0) and (0, -4).

Accepted Answer

The answer of Find the slope of the line determined...

Question 12

Graph the parabola. $y = - \frac { 1 } { 3 } ( x + 4 ) ^ { 2 } - 2$

Accepted Answer

A)    
B)    
C)    
A)    
B)    
C)

Question 13

Find the x intercepts of $y = 2 x ^ { 2 } - 7 x - 15$ . Separate answers with a comma or state none .

Accepted Answer

The answer of Find the x intercepts of \(y =...

Question 14

Determine the type of symmetry (symmetry with respect to the x axis, y axis, or origin) exhibited by the graph of the equation: x  2 + 5 y = -6.

Accepted Answer

A)  symmetry with respect to the x axis 
B)  symmetry with respect to the y axis 
C)  symmetry with respect to the origin 
A)  symmetry with respect to the x axis 
B)  symmetry with respect to the y axis 
C)  symmetry with respect to the origin

Question 15

The equation $y = 4 x ^ { 2 } + 2 x - 5$ will have the exact same shape as the graph $y = \frac { 1 } { 4 } ( x - 3 ) ^ { 2 } - 5$ .

Accepted Answer

A) True 
 B)False

Question 16

Identify the graph of the ellipse. 9 x 2 $-$ 90 x + 25 y 2 $-$ 150 y + 225 = 0

Accepted Answer

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

Question 17

What is the graph of 5 x  2 + 5 y  2 = 0?

Accepted Answer

A)  circle 
B)  point 
C)  empty set 
A)  circle 
B)  point 
C)  empty set

Question 18

The maximum or minimum value of a parabola is found at the vertex.

Accepted Answer

A) True 
 B)False

Question 19

The graph of an equation is symmetric with respect to the y axis if replacing x with $- x$ results in an equivalent equation.

Accepted Answer

A) True 
 B)False

Question 20

Identify the graph of the ellipse. 12 x  2 + y  2 = 36

Accepted Answer

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

Find the equation of the circle that passes through the origin and has its center at ( $-$ 27, 36).

Identify the graph of the ellipse. 4 x ² + y ² = 36

Determine the type of symmetry (symmetry with respect to the x axis, y axis, or origin) exhibited by the graph of the equation: x 2 $-$ 4 x $-$ y 2 = 3.

Identify the graph of the parabola. y = 2 x ² + 8 x + 13

Graph the parabola. $y = 3 ( x + 1 ) ^ { 2 } - 7$

Graph the hyperbola. $x ^ { 2 } - 6 x - y ^ { 2 } + 4 y - 11 = 0$

For the circle $( x - 2 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 9$ , the vertex is $( 2 , - 1 )$ .

Match each item with the correct graph to obtain a true statement. - $\phi$

Graph the equation 2 x ² + 5 y ² = 0.

What is the graph of x 2 + 2 y 2 = $-$ 25?

Find the slope of the line determined by the points ( $-$ 7, 0) and (0, -4).

Graph the parabola. $y = - \frac { 1 } { 3 } ( x + 4 ) ^ { 2 } - 2$

Find the x intercepts of $y = 2 x ^ { 2 } - 7 x - 15$ . Separate answers with a comma or state none .

Determine the type of symmetry (symmetry with respect to the x axis, y axis, or origin) exhibited by the graph of the equation: x ² + 5 y = -6.

The equation $y = 4 x ^ { 2 } + 2 x - 5$ will have the exact same shape as the graph $y = \frac { 1 } { 4 } ( x - 3 ) ^ { 2 } - 5$ .

Identify the graph of the ellipse. 9 x 2 $-$ 90 x + 25 y 2 $-$ 150 y + 225 = 0

What is the graph of 5 x ² + 5 y ² = 0?

The maximum or minimum value of a parabola is found at the vertex.

The graph of an equation is symmetric with respect to the y axis if replacing x with $- x$ results in an equivalent equation.

Identify the graph of the ellipse. 12 x ² + y ² = 36

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Coordinate Geometry and Linear Systems

Exponents and Polynomials

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Functions

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

Exam 12: Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Find the equation of the circle that passes through the origin and has its center at ( −-− 27, 36).

Identify the graph of the ellipse. 4 x 2 + y 2 = 36

Determine the type of symmetry (symmetry with respect to the x axis, y axis, or origin) exhibited by the graph of the equation: x 2 −-− 4 x −-− y 2 = 3.

Identify the graph of the parabola. y = 2 x 2 + 8 x + 13

Graph the parabola. y=3(x+1)2−7y = 3 ( x + 1 ) ^ { 2 } - 7y=3(x+1)2−7

Graph the hyperbola. x2−6x−y2+4y−11=0x ^ { 2 } - 6 x - y ^ { 2 } + 4 y - 11 = 0x2−6x−y2+4y−11=0

For the circle (x−2)2+(y+1)2=9( x - 2 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 9(x−2)2+(y+1)2=9 , the vertex is (2,−1)( 2 , - 1 )(2,−1) .

Match each item with the correct graph to obtain a true statement. - ϕ\phiϕ

Graph the equation 2 x 2 + 5 y 2 = 0.

What is the graph of x 2 + 2 y 2 = −-− 25?

Find the slope of the line determined by the points ( −-− 7, 0) and (0, -4).

Graph the parabola. y=−13(x+4)2−2y = - \frac { 1 } { 3 } ( x + 4 ) ^ { 2 } - 2y=−31​(x+4)2−2

Find the x intercepts of y=2x2−7x−15y = 2 x ^ { 2 } - 7 x - 15y=2x2−7x−15 . Separate answers with a comma or state none .

Determine the type of symmetry (symmetry with respect to the x axis, y axis, or origin) exhibited by the graph of the equation: x 2 + 5 y = -6.

The equation y=4x2+2x−5y = 4 x ^ { 2 } + 2 x - 5y=4x2+2x−5 will have the exact same shape as the graph y=14(x−3)2−5y = \frac { 1 } { 4 } ( x - 3 ) ^ { 2 } - 5y=41​(x−3)2−5 .

Identify the graph of the ellipse. 9 x 2 −-− 90 x + 25 y 2 −-− 150 y + 225 = 0

What is the graph of 5 x 2 + 5 y 2 = 0?

The maximum or minimum value of a parabola is found at the vertex.

The graph of an equation is symmetric with respect to the y axis if replacing x with −x- x−x results in an equivalent equation.

Identify the graph of the ellipse. 12 x 2 + y 2 = 36

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Coordinate Geometry and Linear Systems

Exponents and Polynomials

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Functions

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

Find the equation of the circle that passes through the origin and has its center at ( $-$ 27, 36).

Identify the graph of the ellipse. 4 x ² + y ² = 36

Determine the type of symmetry (symmetry with respect to the x axis, y axis, or origin) exhibited by the graph of the equation: x 2 $-$ 4 x $-$ y 2 = 3.

Identify the graph of the parabola. y = 2 x ² + 8 x + 13

Graph the parabola. $y = 3 ( x + 1 ) ^ { 2 } - 7$

Graph the hyperbola. $x ^ { 2 } - 6 x - y ^ { 2 } + 4 y - 11 = 0$

For the circle $( x - 2 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 9$ , the vertex is $( 2 , - 1 )$ .

Match each item with the correct graph to obtain a true statement. - $\phi$

Graph the equation 2 x ² + 5 y ² = 0.

What is the graph of x 2 + 2 y 2 = $-$ 25?

Find the slope of the line determined by the points ( $-$ 7, 0) and (0, -4).

Graph the parabola. $y = - \frac { 1 } { 3 } ( x + 4 ) ^ { 2 } - 2$

Find the x intercepts of $y = 2 x ^ { 2 } - 7 x - 15$ . Separate answers with a comma or state none .

Determine the type of symmetry (symmetry with respect to the x axis, y axis, or origin) exhibited by the graph of the equation: x ² + 5 y = -6.

The equation $y = 4 x ^ { 2 } + 2 x - 5$ will have the exact same shape as the graph $y = \frac { 1 } { 4 } ( x - 3 ) ^ { 2 } - 5$ .

Identify the graph of the ellipse. 9 x 2 $-$ 90 x + 25 y 2 $-$ 150 y + 225 = 0

What is the graph of 5 x ² + 5 y ² = 0?

The graph of an equation is symmetric with respect to the y axis if replacing x with $- x$ results in an equivalent equation.

Identify the graph of the ellipse. 12 x ² + y ² = 36