Question

rewrite the equation in vertex form.
y = x² + 8x + 15

y = \square

Explanation:

Step1: Identify coefficients

For $y=x^2+8x+15$, $a=1$, $b=8$.

Step2: Complete the square

Add and subtract $(\frac{b}{2})^2=16$: $y=(x^2+8x+16)-16+15$

Step3: Simplify

$y=(x+4)^2 - 1$

Answer:

$y=(x+4)^2 - 1$