archietolyia archietolyia
  • 02-04-2019
  • Mathematics
contestada

The vertex form of the equation of
a parabola is y = 2(x +4)^2 - 7.What is the standard form of the equation?

Respuesta :

MrGumby
MrGumby MrGumby
  • 05-04-2019

Answer:

The standard form of the equation is y = 2x^2 + 16x + 25

Step-by-step explanation:

To find the standard form, first square the parenthesis.

y = 2(x + 4)^2 - 7

y = 2(x^2 + -8x + 16) - 7

Now distribute the 2

y = 2(x^2 + 8x + 16) - 7

y = 2x^2 + 16x + 32 - 7

Now combine like terms

y = 2x^2 + 16x + 32 - 7

y = 2x^2 + 16x + 25

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