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Write a quadratic relation in the form 𝑦 = π‘Žπ‘₯ 2 + 𝑏π‘₯ + 𝑐 with roots 4 and – 3 and passing through the point (3, -12).

 Mar 1, 2021
 #1
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Roots  4 and -3 means

 

y =   a(x-4)(x+3)  

y = a (x^2 -x -12)       when x = 3    y = -12

-12 = a (3^2 -3-12)

   -12 = a ( -6)

    a =  2

 

y = 2x^2 - 2x- 24

 Mar 1, 2021

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