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1.
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Find the standard form of the equation of the
parabola with the given characteristic and vertex at the origin.
Horizontal axis and passes
through the point
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2.
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Find the vertex, focus, and directrix of the
parabola.
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3.
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Find the vertex, focus, and directrix of the
parabola.
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4.
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Find the standard form of the equation of the
parabola with the given characteristics.
Vertex: ; directrix:
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5.
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The equations of a parabola and a tangent line to
the parabola are given. Select the correct graph of both equations in the same viewing
window.
Parabola: Tangent Line:
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6.
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The equations of a parabola and a tangent line to
the parabola are given. Select the correct graph of both equations in the same viewing
window.
Parabola: Tangent Line:
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7.
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The receiver in a parabolic satellite dish is 4.5
feet from the vertex and is located at the focus (see figure). Write an equation for a cross section
of the reflector. (Assume that the dish is directed upward and the vertex is at the
origin.)
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8.
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Roads are often designed with parabolic surfaces to
allow rain to drain off. A particular road that is 32 feet wide is 0.2 foot higher in the center than
it is on the sides (see figure). Find an equation of the parabola that models the road surface.
(Assume that the origin is at the center of the road.)
where
ft,
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9.
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Find the vertex and directrix of the
parabola.
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10.
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Use a graphing utility to graph the
parabola.
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