Find an equation of a parabola that satisfies the given conditions.vertex (0,0), focus (2,0)The equation of the parabola with vertex (0,0) and focus (2,0) is(Type your answer in standard form.)

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Answered: Find an equation of a parabola that…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter7: Conic Sections

Section7.1: Parabolas

Problem 33E

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Road Design Roads are often designed with parabolic surfaces to allow rain to drain off. A particular road is 32 feet wide and 0.4 foot higher in the center than it is on the sides (see figure). (a) Write an equation of the parabola with its vertex at the origin that models the road surface. (b) How far from the center of the road is the road surface 0.1 foot lower than the center?
Window Design A church window is bounded above by a parabola (see figure). Write an equation of the parabola.
Write the equation of a parabola that opens up or down in standard form and the equation of a parabola that opens left or right in standard form. Provide a sketch of the parabola for each one, label the vertex and axis of symmetry.

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Find an equation of a parabola that satisfies the given conditions. vertex (0,0), focus (2,0)