Question 1

Graph the equation. 2 y  2 = x  3

Accepted Answer

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

Question 2

Graph the equation. $y = \frac { 10 } { x ^ { 2 } }$

Accepted Answer

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C)    
D)    
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B)    
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D)

Question 3

Graph the equation. y = $-$ 3 x $-$ 2

Accepted Answer

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D)

Question 4

Identify the graph of the ellipse. 49 x  2 + 4 y  2 = 196

Accepted Answer

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D)    
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D)

Question 5

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

Accepted Answer

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C)

Question 6

Graph the equation. y = x 2 $-$ 2

Accepted Answer

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D)

Question 7

Match each equation with the type of symmetry exhibited by its graph. Do not sketch the graph.
-symmetry with respect to the origin

Accepted Answer

A)  $x ^ { 2 } - 3 x - y ^ { 2 } = 4$ 
B)  $y = x ^ { 4 } - x ^ { 2 } + 3$ 
C)  $y = 2 x$ 
A)  $x ^ { 2 } - 3 x - y ^ { 2 } = 4$ 
B)  $y = x ^ { 4 } - x ^ { 2 } + 3$ 
C)  $y = 2 x$

Question 8

Graph the equation. $y = \frac { - 2 } { x ^ { 2 } + 2 }$

Accepted Answer

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B)    
C)    
D)    
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B)    
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D)

Question 9

Graph the hyperbola 16 x 2 $-$ 9 y 2 = 16.

Accepted Answer

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B)    
C)    
D)    
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C)    
D)

Question 10

Graph the parabola. $y = - 5 x ^ { 2 }$

Accepted Answer

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

Question 11

Identify the graph of the parabola. y = $-$ x 2 $-$ 4 x $-$ 3

Accepted Answer

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

Question 12

Graph the hyperbola $-$ 9 x 2 + 72 x + 4 y 2 $-$ 8 y $-$ 176 = 0.

Accepted Answer

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

Question 13

For the point (-4, 5) determine the point that is symmetric with respect to y -axis. Enter your answer as an ordered pair in the form ( x , y ).

Accepted Answer

The answer of For the point (-4, 5) determine the...

Question 14

Find the center of each circle. Match each of the equations with coordinates ( x , y ) to obtain a true statement.
-$( - 9,8 )$

Accepted Answer

A)  $x ^ { 2 } + y ^ { 2 } - 16 x - 20 y - 992 = 0$ 
B)  $x ^ { 2 } + y ^ { 2 } + 18 x - 16 y + 144 = 0$ 
C)  $x ^ { 2 } + y ^ { 2 } + 20 x + 16 y + 163 = 0$ 
D)  $x ^ { 2 } + y ^ { 2 } - 8 x + 6 y + 9 = 0$ 
A)  $x ^ { 2 } + y ^ { 2 } - 16 x - 20 y - 992 = 0$ 
B)  $x ^ { 2 } + y ^ { 2 } + 18 x - 16 y + 144 = 0$ 
C)  $x ^ { 2 } + y ^ { 2 } + 20 x + 16 y + 163 = 0$ 
D)  $x ^ { 2 } + y ^ { 2 } - 8 x + 6 y + 9 = 0$

Question 15

Graph the hyperbola $-$ 4 x 2 + y 2 = $-$ 4.

Accepted Answer

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

Question 16

Identify the graph of the ellipse. x  2 + 14 x + 9 y  2 + 36 y + 49 = 0

Accepted Answer

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

Question 17

The general approach of changing $y = a x ^ { 2 } + b x + c$ to $y = a ( x - h ) ^ { 2 } + k$ is by completing the square.

Accepted Answer

A) True 
 B)False

Question 18

Graph the circle. $x ^ { 2 } + y ^ { 2 } - 6 x - 6 y - 18 = 0$

Accepted Answer

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

Question 19

Identify the graph of the ellipse. x 2 + 2 x + 49 y 2 $-$ 80 = 0

Accepted Answer

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

Question 20

Match each equation with the other equation that has the same graph.
-$3 y ^ { 2 } + 2 x ^ { 2 } = 25$

Accepted Answer

A)  $3 x ^ { 2 } + 2 y ^ { 2 } = 25$ 
B)  $2 x ^ { 2 } + 3 y ^ { 2 } = 25$ 
C)  $x ^ { 2 } + y ^ { 2 } = 25$ 
A)  $3 x ^ { 2 } + 2 y ^ { 2 } = 25$ 
B)  $2 x ^ { 2 } + 3 y ^ { 2 } = 25$ 
C)  $x ^ { 2 } + y ^ { 2 } = 25$

Graph the equation. 2 y ² = x ³

Graph the equation. $y = \frac { 10 } { x ^ { 2 } }$

Graph the equation. y = $-$ 3 x $-$ 2

Identify the graph of the ellipse. 49 x ² + 4 y ² = 196

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

Graph the equation. y = x 2 $-$ 2

Match each equation with the type of symmetry exhibited by its graph. Do not sketch the graph. -symmetry with respect to the origin

Graph the equation. $y = \frac { - 2 } { x ^ { 2 } + 2 }$

Graph the hyperbola 16 x 2 $-$ 9 y 2 = 16.

Graph the parabola. $y = - 5 x ^ { 2 }$

Identify the graph of the parabola. y = $-$ x 2 $-$ 4 x $-$ 3

Graph the hyperbola $-$ 9 x 2 + 72 x + 4 y 2 $-$ 8 y $-$ 176 = 0.

For the point (-4, 5) determine the point that is symmetric with respect to y -axis. Enter your answer as an ordered pair in the form ( x , y ).

Find the center of each circle. Match each of the equations with coordinates ( x , y ) to obtain a true statement. - $( - 9,8 )$

Graph the hyperbola $-$ 4 x 2 + y 2 = $-$ 4.

Identify the graph of the ellipse. x ² + 14 x + 9 y ² + 36 y + 49 = 0

The general approach of changing $y = a x ^ { 2 } + b x + c$ to $y = a ( x - h ) ^ { 2 } + k$ is by completing the square.

Graph the circle. $x ^ { 2 } + y ^ { 2 } - 6 x - 6 y - 18 = 0$

Identify the graph of the ellipse. x 2 + 2 x + 49 y 2 $-$ 80 = 0

Match each equation with the other equation that has the same graph. - $3 y ^ { 2 } + 2 x ^ { 2 } = 25$

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

Graph the equation. 2 y 2 = x 3

Graph the equation. y=10x2y = \frac { 10 } { x ^ { 2 } }y=x210​

Graph the equation. y = −-− 3 x −-− 2

Identify the graph of the ellipse. 49 x 2 + 4 y 2 = 196

Graph the parabola. y=(x−3)2−4y = ( x - 3 ) ^ { 2 } - 4y=(x−3)2−4

Graph the equation. y = x 2 −-− 2

Match each equation with the type of symmetry exhibited by its graph. Do not sketch the graph. -symmetry with respect to the origin

Graph the equation. y=−2x2+2y = \frac { - 2 } { x ^ { 2 } + 2 }y=x2+2−2​

Graph the hyperbola 16 x 2 −-− 9 y 2 = 16.

Graph the parabola. y=−5x2y = - 5 x ^ { 2 }y=−5x2

Identify the graph of the parabola. y = −-− x 2 −-− 4 x −-− 3

Graph the hyperbola −-− 9 x 2 + 72 x + 4 y 2 −-− 8 y −-− 176 = 0.

For the point (-4, 5) determine the point that is symmetric with respect to y -axis. Enter your answer as an ordered pair in the form ( x , y ).

Find the center of each circle. Match each of the equations with coordinates ( x , y ) to obtain a true statement. - (−9,8)( - 9,8 )(−9,8)

Graph the hyperbola −-− 4 x 2 + y 2 = −-− 4.

Identify the graph of the ellipse. x 2 + 14 x + 9 y 2 + 36 y + 49 = 0

The general approach of changing y=ax2+bx+cy = a x ^ { 2 } + b x + cy=ax2+bx+c to y=a(x−h)2+ky = a ( x - h ) ^ { 2 } + ky=a(x−h)2+k is by completing the square.

Graph the circle. x2+y2−6x−6y−18=0x ^ { 2 } + y ^ { 2 } - 6 x - 6 y - 18 = 0x2+y2−6x−6y−18=0

Identify the graph of the ellipse. x 2 + 2 x + 49 y 2 −-− 80 = 0

Match each equation with the other equation that has the same graph. - 3y2+2x2=253 y ^ { 2 } + 2 x ^ { 2 } = 253y2+2x2=25

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

Graph the equation. 2 y ² = x ³

Graph the equation. $y = \frac { 10 } { x ^ { 2 } }$

Graph the equation. y = $-$ 3 x $-$ 2

Identify the graph of the ellipse. 49 x ² + 4 y ² = 196

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

Graph the equation. y = x 2 $-$ 2

Graph the equation. $y = \frac { - 2 } { x ^ { 2 } + 2 }$

Graph the hyperbola 16 x 2 $-$ 9 y 2 = 16.

Graph the parabola. $y = - 5 x ^ { 2 }$

Identify the graph of the parabola. y = $-$ x 2 $-$ 4 x $-$ 3

Graph the hyperbola $-$ 9 x 2 + 72 x + 4 y 2 $-$ 8 y $-$ 176 = 0.

Find the center of each circle. Match each of the equations with coordinates ( x , y ) to obtain a true statement. - $( - 9,8 )$

Graph the hyperbola $-$ 4 x 2 + y 2 = $-$ 4.

Identify the graph of the ellipse. x ² + 14 x + 9 y ² + 36 y + 49 = 0

The general approach of changing $y = a x ^ { 2 } + b x + c$ to $y = a ( x - h ) ^ { 2 } + k$ is by completing the square.

Graph the circle. $x ^ { 2 } + y ^ { 2 } - 6 x - 6 y - 18 = 0$

Identify the graph of the ellipse. x 2 + 2 x + 49 y 2 $-$ 80 = 0

Match each equation with the other equation that has the same graph. - $3 y ^ { 2 } + 2 x ^ { 2 } = 25$