Question

Select the correct answer.

What is the standard form of this function?
f(x) = -(x-4)² + 2
O A. f(x)=x² +8x-14
OB.
в.
f(x)=x² + 4x - 30
OC. f(x) = -x² + 8x - 14
O D.
f(x) = -x² + 4x - 30

Answer 1

The standard form of the function is -x² + 8x - 14.

Step-by-step explanation:

The standard form of the given function is f(x) = -x² + 8x - 14.

To find the standard form of a quadratic function, we need to expand and simplify the equation.

Expanding -(x-4)² + 2, we get -x² + 8x - 16 + 2 = -x² + 8x - 14.

Therefore, the correct answer is f(x) = -x² + 8x - 14, which corresponds to option OD.

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