Graphing Parametric Equations Answers
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1
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What is the standard form of the following equation?4x2 + 9y2 + 24x – 36y + 36 = 0
A
StartFraction (x + 3) squared Over 9 EndFraction + StartFraction (y minus 2) squared Over 4 EndFraction = 1
B
StartFraction (x + 3) squared Over 9 EndFraction + StartFraction (y minus 2) squared Over 4 EndFraction = 0
C
StartFraction (x + 3) squared Over 4 EndFraction + StartFraction (y minus 2) squared Over 9 EndFraction = 1
D
StartFraction (x + 3) squared Over 4 EndFraction + StartFraction (y minus 2) squared Over 9 EndFraction = 0
2
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Mariah converted the following equation into standard form.25x2 + 25y2 – 200x + 100y + 4 = 025x2 – 200x + 25y2 + 100y = –425(x2 – 8x) + 25(y2 + 4y) = –425(x2 – 8x + 16) + 25(y2 + 4y + 4) = –4 + 16 + 425(x – 4)2 + 25(y + 2)2 = 16
A
Mariah did not make an error.B
Mariah listed the center incorrectly. The center should be (–4, 2).C
Mariah should have added 400 and 100 to the right side of the equation in step 4D
Mariah factored incorrectly in step 5. She should have factored to (x – 8)2 and (y + 4)2.3
Which equation represents an ellipse?
A
2x2 – 4xy + 2y2 + x – 3y + 5 = 0B
2x2 – 6xy + y2 + 8x – y + 2 = 0C
3x2 + 7xy + 8y2 + 3x – 9y + 5 = 0D
9x2 + 3x + 9y2 – 2y + 5 = 04
Graph x + 4 = –8(y – 2)2.
A
On a coordinate plane, a parabola opens to the right. It goes through (4, 3), has a vertex at (negative 4, 2), and goes through (4, 1).
B
On a coordinate plane, a parabola opens to the left. It goes through (negative 6, 1.5), has a vertex at (negative 4, 2), and goes through (negative 6, 2.5).
C
On a coordinate plane, a parabola opens to the right. It goes through (6, negative 1.5), has a vertex at (4, negative 2), and goes through (6, negative 2.5).
D
On a coordinate plane, a parabola opens to the left. It goes through (negative 4, negative 1), has a vertex at (4, negative 2), and goes through (4, negative 3).
5
Graph .
A
On a coordinate plane, an Ellipse has center point (4, 0) and goes through (4, 2), (7, 0), (4, negative 2), and (1, 0).
B
On a coordinate plane, an Ellipse has center point (negative 4, 0) and goes through (negative 1, 0), (negative 4, 2), (negative 7, 0) and (negative 4, negative 2).
C
On a coordinate plane, an Ellipse has center (4, 0) and goes through (6, 0), (4, negative 3), (2, 0) and (4, 3).
D
On a coordinate plane, an Ellipse has center (negative 4, 0) and goes through (negative 2, 0), (negative 4, 3), (negative 6, 0) and (negative 4, negative 3).
6
Which equation represents a parabola?
A
4x2 – 2x + 3y2 – y + 1 = 0B
x2 + x – 2y2 – 4y + 2 = 0C
–3x + 4y2 – 2y + 6 = 0D
2x2 + y2 – 4y + 6 = 07
The graph of y2 + 8y – 4x – 24 = 0 is a parabola. Where is the focus located?
A
(–9, –4)B
(–5, –4)C
(–6, –4)D
(–1, –4)8
Which graph represents 49x2 + 4y2 + 196x – 40y + 100 = 0?
A
On a coordinate plane, one part of a conic graph goes through (negative 1, 1), has a vertex at (0, negative 5), and goes through (negative 1, negative 12). The second part goes through (5, 1), has a vertex at (4, negative 6), and goes through (5, negative 12).
B
On a coordinate plane, one part of a conic graph goes through (negative 5, 12), has a vertex at (negative 4, 5), and goes through (negative 5, negative 2). The second part goes through (1, 12), has a vertex at (0, 5), and goes through (1, negative 2).
C
On a coordinate plane, an Ellipse has center (2, negative 5) and goes through (4, negative 5), (2, negative 12), (0, negative 5), and (2, 2).
D
Option
9
Which conic section is represented by the following equation?5x2 – x + 5y2 – 3y – 12 = 0
A
circleB
ellipseC
parabolaD
hyperbola10
Convert the equation into standard form.25x2 – 9y2 + 200x + 18y + 166 = 0
A
StartFraction (x minus 8) squared Over 9 EndFraction minus StartFraction (y + 2) squared Over 25 EndFraction = 1
B
Option
C
Option
D
Option
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