The vertex form of the equation of

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

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