3. The parabolic reflector of a satellite dish is 1 meter deep and 8 meters wide. The origin (0,0) is at the vertex of the parabola. (a) Write an equation that models the cross-section of the satellite dish. (b) Find the depth of the reflector at a distance of 2 meters from the center.
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A parabola with its vertex at the origin (0,0) and opening upwards has the equation of the form $x^2 = 4py$, where $p$ is the distance from the vertex to the focus. Show more…
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