moochpoop moochpoop
  • 04-05-2022
  • Mathematics
contestada

A parabola y= ax^2 + k
passes through the points (-1, -3) and (3, 13). Find the values of a and k

Respuesta :

bobymcbobbing bobymcbobbing
  • 04-05-2022

Answer:

use vertex form of parabola:

y=a%28x-h%29%5E2%2Bk....if vertex (0,7), we have

y=a%28x-0%29%5E2%2B7

y=ax%5E2%2B7......use point (3,2) to find a

2=a%2A3%5E2%2B7

2=9a%2B7

2-7=9a

-5=9a

a=-5%2F9

so, your equation is: y=-%285%2F9%29x%5E2%2B7

Step-by-step explanation:

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