The General Equation of Conic Sections Answers
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1
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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)2.2
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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).
3
Graph .
A
On a coordinate plane, one part of a conic graph goes through (negative 1, 1), has a vertex at (0, negative 3), and goes through (negative 1, negative 7).
B
On a coordinate plane, one part of a conic graph goes through (negative 11, 8), has a vertex at (negative 10, 3), and goes through (negative 11, negative 1). The other part goes through (1, 7) has a vertex at (0, 3), and goes through (1, negative 1).
C
On a coordinate plane, an Ellipse has center (5, negative 3) and goes through (10, negative 3), (5, negative 9), (0, negative 3), and (5, 3).
D
On a coordinate plane, an Ellipse has center (5, 3) and goes through (negative 5, 9), (0, 3), (5, negative 3), and (negative 10, 3).
4
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 = 0Did you find these answers helpful?
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