Question

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

Answer 1

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

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