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

What is the standard form of the equation?

y = 2x² + 16x + 25

Step-by-step explanation:

Given in the question a vertex form of the equation

y = 2 (x+4) ² - 7

The standard form of equation

y = ax² + bx + c

To convert it into standard form

y = 2 (x² + 8x + 16) - 7

y = 2x² + 16x + 32 - 7

y = 2x² + 16x + 25

a = 2

b = 16

c = 25