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pentagon [3]
2 years ago
13

Rewrite the function f(x)=-4(x-3)^2+16 in the form f(x)=ax^2+bx+c

Mathematics
1 answer:
elena55 [62]2 years ago
4 0

Answer:

f(x) = - 4x² + 24x - 20

Step-by-step explanation:

Given

f(x) = - 4(x - 3)² + 16 ← expand the factor using FOIL

     = - 4(x² - 6x + 9) + 16 ← distribute parenthesis by - 4

    = - 4x² + 24x - 36 + 16 ← collect like terms

    = - 4x² + 24x - 20

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