Melissa S.
asked • 12/02/22Parabolic Cross Section
An engineer designs a satellite dish with a parabolic cross section. The dish is 8 ft. wide at the opening and the depth is 5 ft. *Hint: place the vertex at the origin.
What is the equation the describes the satellite dish?
How far away is the receiver (the focus) from the deepest part of the dish?
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1 Expert Answer
Vertex at the origin and upwards means that the dish cross-section will obey the equation y = ax2
You can find a by plugging in the point (4,5) a = 5/42 = 5/16
The focus can be obtained from the standard form of the parabola 4py = x2
4p = 1/a
solve for p
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Mark M.
Did you draw and label a diagram?12/02/22