Question

Which function is equivalent to f(x) = -4(x + 7)2 – 6?
A. f(x) = -4x2 – 56x - 202
B. f(x) = -4x2 + 14x + 43
C. f(x) = --4x2 - 56x - 172
D. f(x) = -4x2 + 190

Answer 1

Answer:

A

Step-by-step explanation:

Given

f(x) = - 4(x + 7)² - 6 ← expand factor using FOIL

     = - 4(x² + 14x + 49) - 6 ← distribute parenthesis by - 4

    = - 4x² - 56x - 196 - 6 ← collect like terms

    = - 4x² - 56x - 202 → A

Answer 2

The equivalent function is $f(x)=-4x^{2} -56x-202$

Option A is correct.

Equivalent function :

The given function is,

                        $f(x)=-4(x+7)^{2}-6$

We have to expand above function.

                    $f(x)=-4(x+7)^{2}-6\\\\f(x)=-4(x^{2} +14x+49)-6\\\\f(x)=-4x^{2} -56x-196-6\\\\f(x)=-4x^{2} -56x-202$

Thus, the equivalent function is $f(x)=-4x^{2} -56x-202$

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