SATELLITE DISH Suppose the receiver in a parabolic dish antenna is 2 feet from the vertex and is located at the focus. Assume that the vertex is at the
origin and that the dish is pointed upward. Find an equation that models a
cross section of the dish.
a. x2 = -8y
b. x2 = 2y
c. x2 = 8y
d. y2 = 8x

D)

Step-by-step explanation:

Because the receiver of the parabolic dish antenna is 2 feet above the vertex, the parabola must be vertical. Therefore, we will use the equation where is the vertex of the parabola and is the focus point. Since we are given that the receiver is 2 feet above the vertex which is located at the focus point and the vertex is at the origin, then the focus point is where . Therefore, the equation that models a cross section of the dish is .