what is the first step when rewriting y = 3x² + 9x - 18 in the form y = a(x - h)² + k?\n3 must be factored…
what is the first step when rewriting y = 3x² + 9x - 18 in the form y = a(x - h)² + k?\n3 must be factored from 3x² + 9x\nx must be factored from 3x² + 9x\n9 must be factored from 9x - 18\n3 must be factored from 3x² - 18
Answer
Explanation:
Step1: Recall vertex - form conversion
To convert the quadratic function $y = ax^{2}+bx + c$ to vertex - form $y=a(x - h)^{2}+k$, when $a\neq1$, we first factor out the coefficient of $x^{2}$ from the first two terms. In the given function $y = 3x^{2}+9x - 18$, where $a = 3$, $b = 9$ and $c=-18$.
Answer:
A. 3 must be factored from $3x^{2}+9x$