mediaz0529
mediaz0529 mediaz0529
  • 30-09-2020
  • Mathematics
contestada

Write an equation of the parabola in vertex form that passes through (0, −24) and has vertex (−6, −12)

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vickaury899
vickaury899 vickaury899
  • 30-09-2020
The general equation is y-k=a(x-h)² where (h,k) is the vertex.

So in this case we have y+12=a(x+6)².

Plug in x=0, y=-24: -12=36a, and a=-⅓. Therefore y+12=-⅓(x+6)².
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