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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?

 Mar 30, 2021
 #1
avatar+311 
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Is this 3D?

 Mar 30, 2021
 #2
avatar+33815 
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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

 Mar 30, 2021

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