what is the first step when rewriting y = 6x² + 18x + 14 in the form y = a(x - h)² + k?\n16 must be factored…
what is the first step when rewriting y = 6x² + 18x + 14 in the form y = a(x - h)² + k?\n16 must be factored from 18x + 14\nx must be factored from 6x² + 18x\n6 must be factored from 6x² + 14\n6 must be factored from 6x² + 18x
Answer
Explanation:
Step1: Recall vertex - form conversion
To convert $y = ax^{2}+bx + c$ to $y=a(x - h)^{2}+k$, we first factor out the coefficient of $x^{2}$ from the first - two terms. Given $y = 6x^{2}+18x + 14$, where $a = 6$, $b = 18$, and $c = 14$.
Step2: Identify the correct factoring
We need to factor 6 from the terms $6x^{2}+18x$. So the first step is to factor 6 from $6x^{2}+18x$.
Answer:
D. 6 must be factored from $6x^{2}+18x$