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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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y = a(x - 4)(x + 3) = a(x^2 - x - 12)

 

Plug in the point (3, -12)

 

-12 = a(9 - 3 - 12)

-12 = -6a

a = 2

 

 

y = 2(x^2 - x - 12) = 2x^2 - 2x - 24

 Mar 1, 2021

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