gmanzi gmanzi
  • 17-03-2021
  • Mathematics
contestada

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

Respuesta :

theleangreenbean
theleangreenbean theleangreenbean
  • 17-03-2021

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 = [tex]\frac{x_1+x_2}{2}[/tex] (where [tex]x_1[/tex] and [tex]x_2[/tex] are the x-intercepts)

Plug in the x-intercepts 13 and -21

[tex]\frac{13+(-21)}{2}\\= \frac{13-21}{2}\\= \frac{-8}{2}\\=-4[/tex]

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

I hope this helps!

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