Rene is designing a satellite that is the shape of a parabola that opens upward with a diameter of 8 in. and a depth of 2 in. The feed antenna focuses the incoming radio waves. At what point should the feed antenna be placed?

Place the vertex of the upward-opening dish at (0, 0), with its axis along the y-axis. The dish is 8 inches wide at a depth of 2 inches, so the point (4, 2) lies on the parabola. Using x² = 4py gives 4² = 4p(2), so p = 2; the focus is therefore (0, 2), choice C.

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