Question

which equation represents the standard form of the equation y=(x-4)^2-9

Answer 1

Explanation

Given the function

$y=\left(x-4\right)^2-9$

We can express it in the standard form below.

$\begin{gathered} y=\left(x-4\right)^2-9 \\ y=x(x-4)-4(x-4)-9 \\ y=x^2-4x-4x+16-9 \\ y=x^2-8x+7 \\ \end{gathered}$

Answer: Option D