A home satellite dish is 56 cm across and 7 cm deep. The cross-section is parabolic in shape.

What is the quadratic function that describes this shape of the cross-section of the dish?

Guest Mar 30, 2021

#2**+1 **

center the vertex at 0, 0

vertex form becomes

y = a ( x-0)^2 + 0

y = a x^2 now sub in the points given

7 = a (28)^2 ( 28 is 1/2 of the 56 dimension)

7/784 = a

y = 7/784 x^2

Here is the graph: (just the graph between the blue dots)

https://www.desmos.com/calculator/iq30nygvng

ElectricPavlov Mar 30, 2021