Question

use $2x^2 +8x + 13$ 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 are the coordinates of the vertex?

enter your answer as an ordered pair.
type a response

Explanation:

Step1: Identify a, b from quadratic

For $2x^2+8x+13$, $a=2$, $b=8$

Step2: Calculate x-coordinate

Use $x=-\frac{b}{2a}$
$x=-\frac{8}{2\times2}=-\frac{8}{4}=-2$

Step3: Calculate y-coordinate

Substitute $x=-2$ into $2x^2+8x+13$
$y=2(-2)^2+8(-2)+13=2(4)-16+13=8-16+13=5$

Answer:

$(-2, 5)$