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


A)  Graph the hyperbola  -  4 x 2 + y 2 =  -  4. A)    B)    C)    D)
B)  Graph the hyperbola  -  4 x 2 + y 2 =  -  4. A)    B)    C)    D)
C)  Graph the hyperbola  -  4 x 2 + y 2 =  -  4. A)    B)    C)    D)
D)  Graph the hyperbola  -  4 x 2 + y 2 =  -  4. A)    B)    C)    D)

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

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


A)  Identify the graph of the parabola. y =  -  x 2  -  4 x  -  3 A)    B)    C)    D)
B)  Identify the graph of the parabola. y =  -  x 2  -  4 x  -  3 A)    B)    C)    D)
C)  Identify the graph of the parabola. y =  -  x 2  -  4 x  -  3 A)    B)    C)    D)
D)  Identify the graph of the parabola. y =  -  x 2  -  4 x  -  3 A)    B)    C)    D)

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

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Graph the equation. y = x 2 - 2


A)  Graph the equation. y = x 2  -  2 A)    B)    C)    D)
B)  Graph the equation. y = x 2  -  2 A)    B)    C)    D)
C)  Graph the equation. y = x 2  -  2 A)    B)    C)    D)
D)  Graph the equation. y = x 2  -  2 A)    B)    C)    D)

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

Correct Answer

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


A)  Graph the hyperbola  -  9 x 2 + 72 x + 4 y 2  -  8 y  -  176 = 0. A)    B)    C)    D)
B)  Graph the hyperbola  -  9 x 2 + 72 x + 4 y 2  -  8 y  -  176 = 0. A)    B)    C)    D)
C)  Graph the hyperbola  -  9 x 2 + 72 x + 4 y 2  -  8 y  -  176 = 0. A)    B)    C)    D)
D)  Graph the hyperbola  -  9 x 2 + 72 x + 4 y 2  -  8 y  -  176 = 0. A)    B)    C)    D)

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

Correct Answer

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Graph the circle. x2+y26x6y18=0x ^ { 2 } + y ^ { 2 } - 6 x - 6 y - 18 = 0


A)  Graph the circle.  x ^ { 2 } + y ^ { 2 } - 6 x - 6 y - 18 = 0  A)    B)    C)    D)    E)
B)  Graph the circle.  x ^ { 2 } + y ^ { 2 } - 6 x - 6 y - 18 = 0  A)    B)    C)    D)    E)
C)  Graph the circle.  x ^ { 2 } + y ^ { 2 } - 6 x - 6 y - 18 = 0  A)    B)    C)    D)    E)
D)  Graph the circle.  x ^ { 2 } + y ^ { 2 } - 6 x - 6 y - 18 = 0  A)    B)    C)    D)    E)
E)  Graph the circle.  x ^ { 2 } + y ^ { 2 } - 6 x - 6 y - 18 = 0  A)    B)    C)    D)    E)

F) A) and B)
G) A) and C)

Correct Answer

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


A) 3x2+2y2=253 x ^ { 2 } + 2 y ^ { 2 } = 25
B) 2x2+3y2=252 x ^ { 2 } + 3 y ^ { 2 } = 25
C) x2+y2=25x ^ { 2 } + y ^ { 2 } = 25

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

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


A) Identify the graph of the ellipse. 49 x <sup> 2</sup> + 4 y <sup> 2</sup> = 196 A)    B)    C)    D)
B) Identify the graph of the ellipse. 49 x <sup> 2</sup> + 4 y <sup> 2</sup> = 196 A)    B)    C)    D)
C) Identify the graph of the ellipse. 49 x <sup> 2</sup> + 4 y <sup> 2</sup> = 196 A)    B)    C)    D)
D) Identify the graph of the ellipse. 49 x <sup> 2</sup> + 4 y <sup> 2</sup> = 196 A)    B)    C)    D)

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

Correct Answer

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


A) Identify the graph of the ellipse. x <sup> 2</sup> + 14 x + 9 y <sup> 2</sup> + 36 y + 49 = 0 A)    B)    C)    D)
B) Identify the graph of the ellipse. x <sup> 2</sup> + 14 x + 9 y <sup> 2</sup> + 36 y + 49 = 0 A)    B)    C)    D)
C) Identify the graph of the ellipse. x <sup> 2</sup> + 14 x + 9 y <sup> 2</sup> + 36 y + 49 = 0 A)    B)    C)    D)
D) Identify the graph of the ellipse. x <sup> 2</sup> + 14 x + 9 y <sup> 2</sup> + 36 y + 49 = 0 A)    B)    C)    D)

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

Correct Answer

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


A) x23xy2=4x ^ { 2 } - 3 x - y ^ { 2 } = 4
B) y=x4x2+3y = x ^ { 4 } - x ^ { 2 } + 3
C) y=2xy = 2 x

D) None of the above
E) All of the above

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) ( - 9,8 )


A) x2+y216x20y992=0x ^ { 2 } + y ^ { 2 } - 16 x - 20 y - 992 = 0
B) x2+y2+18x16y+144=0x ^ { 2 } + y ^ { 2 } + 18 x - 16 y + 144 = 0
C) x2+y2+20x+16y+163=0x ^ { 2 } + y ^ { 2 } + 20 x + 16 y + 163 = 0
D) x2+y28x+6y+9=0x ^ { 2 } + y ^ { 2 } - 8 x + 6 y + 9 = 0

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

Correct Answer

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


A)  Graph the equation.  y = \frac { 10 } { x ^ { 2 } }  A)    B)    C)    D)
B)  Graph the equation.  y = \frac { 10 } { x ^ { 2 } }  A)    B)    C)    D)
C)  Graph the equation.  y = \frac { 10 } { x ^ { 2 } }  A)    B)    C)    D)
D)  Graph the equation.  y = \frac { 10 } { x ^ { 2 } }  A)    B)    C)    D)

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

Correct Answer

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Graph the equation. y = - 3 x - 2


A)  Graph the equation. y =  -  3 x  -  2 A)    B)    C)    D)
B)  Graph the equation. y =  -  3 x  -  2 A)    B)    C)    D)
C)  Graph the equation. y =  -  3 x  -  2 A)    B)    C)    D)
D)  Graph the equation. y =  -  3 x  -  2 A)    B)    C)    D)

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

Correct Answer

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

A) True
B) False

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Graph the equation. 2 y 2 = x 3


A) Graph the equation. 2 y <sup> 2</sup> = x <sup> 3</sup> A)    B)    C)    D)
B) Graph the equation. 2 y <sup> 2</sup> = x <sup> 3</sup> A)    B)    C)    D)
C) Graph the equation. 2 y <sup> 2</sup> = x <sup> 3</sup> A)    B)    C)    D)
D) Graph the equation. 2 y <sup> 2</sup> = x <sup> 3</sup> A)    B)    C)    D)

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

Correct Answer

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


A)  Identify the graph of the ellipse. x 2 + 2 x + 49 y 2  -  80 = 0 A)    B)    C)    D)
B)  Identify the graph of the ellipse. x 2 + 2 x + 49 y 2  -  80 = 0 A)    B)    C)    D)
C)  Identify the graph of the ellipse. x 2 + 2 x + 49 y 2  -  80 = 0 A)    B)    C)    D)
D)  Identify the graph of the ellipse. x 2 + 2 x + 49 y 2  -  80 = 0 A)    B)    C)    D)

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

Correct Answer

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Graph the parabola. y=(x3) 24y = ( x - 3 ) ^ { 2 } - 4


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

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

Correct Answer

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


A)  Graph the equation.  y = \frac { - 2 } { x ^ { 2 } + 2 }  A)    B)    C)    D)
B)  Graph the equation.  y = \frac { - 2 } { x ^ { 2 } + 2 }  A)    B)    C)    D)
C)  Graph the equation.  y = \frac { - 2 } { x ^ { 2 } + 2 }  A)    B)    C)    D)
D)  Graph the equation.  y = \frac { - 2 } { x ^ { 2 } + 2 }  A)    B)    C)    D)

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

Correct Answer

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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 ).

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


A)  Graph the parabola.  y = - 5 x ^ { 2 }  A)    B)    C)
B)  Graph the parabola.  y = - 5 x ^ { 2 }  A)    B)    C)
C)  Graph the parabola.  y = - 5 x ^ { 2 }  A)    B)    C)

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

Correct Answer

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


A)  Graph the hyperbola 16 x 2  -  9 y 2 = 16. A)    B)    C)    D)
B)  Graph the hyperbola 16 x 2  -  9 y 2 = 16. A)    B)    C)    D)
C)  Graph the hyperbola 16 x 2  -  9 y 2 = 16. A)    B)    C)    D)
D)  Graph the hyperbola 16 x 2  -  9 y 2 = 16. A)    B)    C)    D)

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

Correct Answer

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