SOLUTION: A satellite dish is shaped like a paraboloid of revolution. This means that it can be formed by rotating a parabola around its axis of symmetry. The receiver is to be located at th

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Question 1204101: A satellite dish is shaped like a paraboloid of revolution. This means that it can be formed by rotating a parabola around its axis of symmetry. The receiver is to be located at the focus. If the dish is 84 feet across at its opening and 7 feet deep at its center. Find the equation of the parabola.
Answer by greenestamps(13203)   (Show Source): You can put this solution on YOUR website!


Working in 2 dimensions, let the origin of the graph of the parabola be the vertex. The equation is then of the form .

The edges of the dish are at the points (-42,7) and (42,7). Determine the value of the coefficient a using either of those two points.




ANSWER:


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