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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.

 Feb 9, 2022
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(-2 , 0) and (-3 , 0)

   a(x+2)  *   (x+3) = y

a(x^2 + 5x + 6) = y    sub in given point

a(25  + 25  + 6) = 10

a = 10 / 56 = 5/ 28

 

y = 5/28 x^2 + 25/28 x + 30 / 28

 

 Feb 9, 2022

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