Question 1

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 2

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

Accepted Answer

A)    2 + 14 x + 9 y  2 + 36 y + 49 = 0 
A)     
B)     
C)     
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B)    2 + 14 x + 9 y  2 + 36 y + 49 = 0 
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B)     
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C)    2 + 14 x + 9 y  2 + 36 y + 49 = 0 
A)     
B)     
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D)    2 + 14 x + 9 y  2 + 36 y + 49 = 0 
A)     
B)     
C)     
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F) C) and D)

Question 3

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

Accepted Answer

A)   
B)   
C)   
D)    E) C) and D)
F) None of the above

Question 4

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)

Accepted Answer

A)    x2+y2−16x−20y−992=0x ^ { 2 } + y ^ { 2 } - 16 x - 20 y - 992 = 0x2+y2−16x−20y−992=0  
B)    x2+y2+18x−16y+144=0x ^ { 2 } + y ^ { 2 } + 18 x - 16 y + 144 = 0x2+y2+18x−16y+144=0  
C)    x2+y2+20x+16y+163=0x ^ { 2 } + y ^ { 2 } + 20 x + 16 y + 163 = 0x2+y2+20x+16y+163=0  
D)    x2+y2−8x+6y+9=0x ^ { 2 } + y ^ { 2 } - 8 x + 6 y + 9 = 0x2+y2−8x+6y+9=0E) None of the above
F) A) and C)

Question 5

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

Accepted Answer

A)   
B)   
C)    D) A) and C)
E) All of the above

Question 6

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 7

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

Accepted Answer

A)   
B)   
C)   
D)    E) C) and D)
F) A) and B)

Question 8

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

Accepted Answer

A)   
B)   
C)   
D)    E) None of the above
F) A) and D)

Question 9

Graph the equation. 2 y  2 = x  3

Accepted Answer

A)    2 = x  3 
A)     
B)     
C)     
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B)    2 = x  3 
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C)    2 = x  3 
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D)    2 = x  3 
A)     
B)     
C)     
D)    " class="answers-bank-image d-inline" rel="preload" >E) B) and C)
F) None of the above

Question 10

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

Accepted Answer

A)   
B)   
C)   
D)   
E)    F) All of the above
G) B) and C)

Question 11

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)    x2−3x−y2=4x ^ { 2 } - 3 x - y ^ { 2 } = 4x2−3x−y2=4  
B)    y=x4−x2+3y = x ^ { 4 } - x ^ { 2 } + 3y=x4−x2+3  
C)    y=2xy = 2 xy=2xD) A) and C)
E) A) and B)

Question 12

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

Accepted Answer

A)   
B)   
C)   
D)    E) A) and B)
F) A) and C)

Question 13

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

Accepted Answer

A)   
B)   
C)   
D)    E) B) and C)
F) C) and D)

Question 14

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

Accepted Answer

A)   
B)   
C)   
D)    E) A) and D)
F) C) and D)

Question 15

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

Accepted Answer

A)   
B)   
C)   
D)    E) All of the above
F) None of the above

Question 16

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

Accepted Answer

A)    3x2+2y2=253 x ^ { 2 } + 2 y ^ { 2 } = 253x2+2y2=25  
B)    2x2+3y2=252 x ^ { 2 } + 3 y ^ { 2 } = 252x2+3y2=25  
C)    x2+y2=25x ^ { 2 } + y ^ { 2 } = 25x2+y2=25D) B) and C)
E) None of the above

Question 17

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

Accepted Answer

A)   
B)   
C)   
D)    E) All of the above
F) B) and D)

Question 18

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

Accepted Answer

A)    2 + 4 y  2 = 196 
A)     
B)     
C)     
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B)    2 + 4 y  2 = 196 
A)     
B)     
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C)    2 + 4 y  2 = 196 
A)     
B)     
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D)    2 + 4 y  2 = 196 
A)     
B)     
C)     
D)    " class="answers-bank-image d-inline" rel="preload" >E) A) and D)
F) None of the above

Question 19

Graph the equation. y = x 2  −-−  2

Accepted Answer

A)   
B)   
C)   
D)    E) B) and C)
F) A) and C)

Question 20

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

Accepted Answer

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

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

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

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

Graph the equation. y = x 2 −-− 2

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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)

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

Graph the equation. y = −-− 3 x −-− 2

Correct AnswerverifiedShow Answer

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.

Correct AnswerverifiedShow Answer

Graph the equation. 2 y 2 = x 3

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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 ).

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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

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

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

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

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

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

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

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

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

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

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

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

Correct Answer
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Graph the equation. 2 y ² = x ³

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

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

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

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

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

Correct Answer
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