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A parabola has two x intercepts at (-2 , 0) and (3 , 0) and passes through the point (5 , 10). Find the equation of this parabola?

 May 6, 2021
 #1
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Zeroes at -2   and 3

 

a (x+2)(x-3) = 0

f(x)  =  a ( x*2 -x -6)             When x = 5    f(x) = 10

10   = a ( 5^2 -5-6)

a = 5/7

 

f(x) = 5/7 (x^2-x-6)    

 May 6, 2021

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