The cross section of a satellite dish is a parabola . The receiver should be placed at the focus of the parabola . The satellite dish is 9 feet wide at its opening and 2 feet deep . How far should the receiver be placed from the vertex of the satellite dish to the nearest hundredth ( two decimal places ) Show your work to receive full credit.

Jack has a rectangular piece of land, the area of which is represented by a1 = 9.5l. his brother has a different rectangular piece of land, the area of which is represented by a2 = l(14 − l). let a represent the area in square meters and l represent the length in meters of the pieces of land. the two equations plotted on a graph meet at a point as shown in the image