# Shared Flashcard Set

## Details

unit 4 test pre calc aai
30
Mathematics
04/24/2013

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Find the foci for the ellipse [image].
 A. (4, 0), (-4, 0) B. [image],[image] C. [image],[image] D. (0, 3), (0, -3)
Definition
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Find the directrix of the parabola [image].
 A. [image] B. [image] .c [image] D. [image]
Definition
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Find the directrix of the parabola [image].
 A. [image] B. [image] C. [image] D. [image]
Definition
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Rewrite the following parametric equations by eliminating the parameter.
[image]
 A. [image] B. [image] C. [image] D. [image]
Definition
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Given the equation xy = -12, if you rotate the graph of the equation 45° about the origin, what is the new equation?
 A. [image] B. [image] C. [image] D. [image]
Definition
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Solve the system of equations. [image]
 A. [image] B. [image] Click here for a long description of the image above. C. [image] Click here for a long description of the image above. D. no solution
Definition
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Identity the graph of the equation x2 + 3xy + 2y2 - 3x + 2y + 10 = 0, then find [image], the angle of rotation.
 A. ellipse; -36° B. ellipse; 36° C. hyperbola; -36° D. hyperbola; 36°
Definition
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Given the hyperbola y2/16 - x2/9 = 1, find the foci.
 A. (0, -5), (0, 5) B. (5, 0), (-5, 0) C. (-3, 0), (3, 0) D. (0, -4), (0, 4)
Definition
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Find the center and the radius of the circle: x2 - 6x + y2 + 1 = 0.
 A. Center (0, 3), r = 2√2 B. Center (0, 3), r = 2√3 C. Center (3, 0), r = 2√2 D. Center (3, 0), r = 2√3
Definition
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Which of the following is the sketch of circle [image]?
 A. [image] B. [image] C. [image] D. [image]
Definition
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Change the following polar coordinates into rectangular form. [image]
 A. [image] B. [image] C. [image] D. [image]
Definition
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Change the following polar coordinates into rectangular form. (-2, 45°)
 A. (-2[image]2, -2[image]2) B. (-[image]2, -[image]2) C. ([image]2, 2[image]2) D. (2[image]2, -[image]2)
Definition
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Change the following rectangular coordinates into polar form. (2, 4)
Round [image] to nearest degree.
 A. (10,63°) B. (2[image]10, 63°) C. (2[image]5, 63°) D. (-2[image]5, -63°)
Definition
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Find the vertex of the parabola [image].
 A. [image] B. [image] C. [image] D. [image]
Definition
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Find the focus of the parabola [image].
 A. (0, -3) B. (-3, 0) C. (0, 3) D. (3, 0)
Definition
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Find the foci for the ellipse [image].
 A. (3, 0), (-3, 0) B. (0, √5), (0, -√5) C. (√5, 0), (-√5, 0) D. (0, 3), (0, -3)
Definition
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Given the hyperbola y2/16 - x2/9 = 1, determine if the foci are on the x-axis or y-axis.
 A. x-axis B. y-axis
Definition
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Identity the graph of the equation 9x2 + 4xy + 5y2 - 40 = 0, then find [image], the angle of rotation.
 A. ellipse; 23° B. ellipse; 46° C. hyperbola; 23° D. hyperbola; 46°
Definition
Term
Find the foci for the ellipse [image].
 A. (5, 0), (-5, 0) B. [image], [image] C. [image],[image] D. [image],[image]
Definition
Term
Find the foci for the ellipse [image].
 A. (3, 0), (-3, 0) B. [image],[image] C. [image],[image] D. (0, 3), (0, -3)
Definition
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Given the hyperbola x2/4 – y2/9 = 1, find the equations for its asymptotes.
 A. y = (3/2)x, y = (-3/2)x B. x = (3/2)y, x = (-3/2)y C. y = (1/3)x, y = (-1/3)x D. x = (1/3)y, x = (-1/3)y
Definition
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Find the center and the radius of the circle [image].
 A. Center (2, -4), r = 3 B. Center (3, 2), r = 3 C. Center (-2, -4), r = 3 D. Center (-3, 2), r = 3
Definition
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Solve the system of equations. [image]
 A. [image] B. [image] C. [image] D. no solution
Definition
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Find the center and the radius of the circle [image].
 A. Center (0, 2), r = [image] B. Center (2, 0), r = [image] C. Center (1, -2), r = [image] D. Center (-1, 2), r = [image]
Definition
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Given the hyperbola y2/16 - x2/9 = 1, find the vertices.
 A. (-4, 0), (4, 0) B. (0, -4), (0, 4) C. (-3, 0), (3, 0) D. (0, -3), (0, 3)
Definition
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Change the following polar coordinates into rectangular form. (4, 0°)
 A. (0, 4) B. (0, -4) C. (4, 0) D. (-4, 0)
Definition
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Solve the system of equations. [image]
 A. [image] B. [image] C. [image] D. [image]
Definition
Term
Rewrite the following parametric equations by eliminating the parameter.
[image]
 A. [image] B. [image] C. [image] D. [image]
Definition
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Given the equation x2 - 7x + y2 = 5, if you rotate the graph of the equation 45° about the origin, what is the new equation?
 A. [image] B. [image] C. [image] D. [image]
Definition
Term
Rewrite the following parametric equations by eliminating the parameter.
[image]
 A. [image] B. [image] C. [image] D. [image]
Definition
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