Question

Select the correct answer.What is the standard form of this function?f(x) = -(x-4)^2 + 2

Answer 1

Okay, here we have this:

We need to fund the standard form of the following function:

`f\mleft(x\mright)=-\mleft(x-4\mright)^2+2`

Let's first solve the binomial squared:

`\begin{gathered} =-\mleft(x^2-8x+16\mright)+2 \\ =-x^2+8x-16+2 \end{gathered}`

Now let's operate like terms:

`=-x^2+8x-14`

Finally we obtain that the correct answer is the option A.