Question

use $x^2 - 8x + 16$ to answer the following questions.
$x = -\frac{b}{2a}$
use your value of $x$ in the equation to find the $y$-coordinate of the vertex.
$f(x) = a(x - h)^2 + k$

1. what is the equation for the axis of symmetry?

you must enter your answer as $x=$
type a response

Explanation:

Step1: Identify a, b from quadratic

For $x^2 - 8x + 16$, $a=1$, $b=-8$.

Step2: Apply axis of symmetry formula

Use $x = -\frac{b}{2a}$.
$\displaystyle x = -\frac{-8}{2(1)} = \frac{8}{2} = 4$

Answer:

$x=4$