# SOLUTION: Please help me: A satellite dish shaped like a parabola is 12 feet across and 4 feet deep. How high above the base dish should the receiver be placed if it is located at the foc

Algebra ->  Algebra  -> Quadratic-relations-and-conic-sections -> SOLUTION: Please help me: A satellite dish shaped like a parabola is 12 feet across and 4 feet deep. How high above the base dish should the receiver be placed if it is located at the foc      Log On

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 Click here to see ALL problems on Quadratic-relations-and-conic-sections Question 433508: Please help me: A satellite dish shaped like a parabola is 12 feet across and 4 feet deep. How high above the base dish should the receiver be placed if it is located at the focus of the parabola?Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!picture the parabolic cross-section starting at the origin and extending along the x-axis the vertex (bottom of the dish) is (6,-4); and the roots are 0 and 12 using the vertex form ___ y = a(x - 6) - 4 0 = a(0 - 6)^2 - 4 4 = 36a ___ a = 1/9 a = 1 / 4p ___where p is the distance from the vertex to the focus p = 1 / 4a ___ in this case ___ p = 9/4 so the receiver is 9/4 feet above the bottom of the dish