Question

if a parabola has x-intercepts at 13 and -21, what is the x-coordinate of its vertex

Answer 1

Answer:

-4

Step-by-step explanation:

To find the x-coordinate of the vertex of a parabola given its x-intercepts, find the average of the x-intercepts:

x-coordinate of the vertex = $\frac{x_1+x_2}{2}$ (where $x_1$ and $x_2$ are the x-intercepts)

Plug in the x-intercepts 13 and -21

$\frac{13+(-21)}{2}\\= \frac{13-21}{2}\\= \frac{-8}{2}\\=-4$

Therefore, the x-coordinate of the vertex is -4.

I hope this helps!