Question

the equation for the cross section of a parabolic satellite television dish is y=1/50x^2 measured in inches, how far is the focus from the vertex of the cross section?

Answer 1

Answer:

12.5 inches

Step-by-step explanation:

Given the equation for the cross section of a parabolic satellite TV dish:

y=1/50x^2

Equation of a parabola :

(y - k) = 1/4p * (x - h)^2

Distance of the focus from the Vertex = p

Comparing both equations :

1/4p * (x - h)^2 = 1/50 * x^2

4p = 50

Divide both sides by 4

4p/4 = 50/4

p = 12.5 inches