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?
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Answer 1

y = 2x² + 16x + 25

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