Question

Rewrite the function f(x)=-4(x+3)2 – 2 in the form f(x) = ax²+bx+c.

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Answer 1

f(x) = -4x² - 24x - 38

Explanation:

f(x )= -4(x + 3)² – 2

Expand the squared term

f(x) = -4 (x² + 6x + 9) - 2

Distribute the -4

f(x) = (-4x² - 24x - 36) - 2

Combine like terms

f(x) = -4x² - 24x - 38