what is the first step when rewriting y = -4x² + 2x - 7 in the form y = a(x - h)² + k?\n2 must be factored…

Explanation:

Step1: Recall vertex - form conversion

To convert the quadratic function $y = ax^{2}+bx + c$ to the vertex - form $y=a(x - h)^{2}+k$, when $a\neq1$, the first step is to factor out the coefficient of $x^{2}$ from the first two terms. In the given function $y=-4x^{2}+2x - 7$, where $a=-4$, $b = 2$ and $c=-7$, we need to factor out $-4$ from the terms involving $x$, i.e., $-4x^{2}+2x$.

Answer:

-4 must be factored from $-4x^{2}+2x$