Question

use $-x^2 + 2x + 5$ 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 and b values

For quadratic $-x^2 + 2x + 5$, $a=-1$, $b=2$.

Step2: Apply axis of symmetry formula

Substitute into $x=-\frac{b}{2a}$:
$x=-\frac{2}{2(-1)}$

Step3: Calculate the x-value

$x=-\frac{2}{-2}=1$

Answer:

$x=1$