Conic Sections Answers
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1
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Which graph represents the equation y = – (x – 1)2 + 1?
A
On a coordinate plane, a parabola opens up. It goes through (0, 2), has a vertex at (1, 1), and goes through (2, 2).
B
On a coordinate plane, a parabola opens down. It goes through (0, 0), has a vertex at (1, 1), and goes through (2, 0).
C
On a coordinate plane, a parabola opens down. It goes through (negative 2, 0), has a vertex at (negative 1, 1), and goes through (0, 0).
D
On a coordinate plane, a parabola opens up. It goes through (negative 2, 2), has a vertex at (negative 1, 1), and goes through (0, 2).
2
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The angle between the generator and the central axis of a double-napped cone is 40°. A plane intersects the central axis at an angle between 40° and 90°. Which conic section is formed?
A
circleB
ellipseC
hyperbolaD
parabola3
Consider the equation y – 4 = 2(x + 3)2. Where is the vertex located, and in which direction does the parabola open?
A
vertex: (–3, 4); parabola opens upB
vertex: (–3, 4); parabola opens to the rightC
vertex: (3, –4); parabola opens upD
vertex: (3, –4); parabola opens to the rightDid you find these answers helpful?
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