Explanation
The standard form of a quadratic equation is the following:
[tex]y=ax^2+bx+c[/tex]
Where a, b and c are numbers. In this case we are given a quadratic equation in vertex form:
[tex]y=(x-4)^2-16[/tex]
We can expand the squared binomial:
[tex]\begin{gathered} y=x^2-2\cdot4\cdot x+(-4)^2-16 \\ y=x^2-8x+16-16 \\ y=x^2-8x \end{gathered}[/tex]Answer
Then the answer is the second option.
