Answer:
[tex]y=\frac{x^2}{100}+2500[/tex]
Step-by-step explanation:
Given that the satellite is in the shape of parabola and will be positioned above the ground such that its focus is 50 ft, above ground.
let the point at the ground be (0,0) and focus (0,50). Thus, The base is at equal distance from the ground and focus that the vertex is at
(h,k) =(0,25).
Obtain the equation that describes the equation of the satellite as,
[tex](x-h)^2 =4a(y-k)\\
\Rightarrow (x-0)^2=4(25)(y-25)\\
\Rightarrow x^2=100(y-25)\\
\Rightarrow x^2 =100y-2500\\
\Rightarrow y=\frac{x^2}{100}+2500[/tex]
Thus, the equation of satellite is [tex]y=\frac{x^2}{100}+2500[/tex]
