Question

Question 7 of 10

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

2x^2 + 16x + 25

Explanation:

The rule for expanding within brackets is:

(a + b)^2 = a^2 + 2ab + b^2

Thus,

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

After expanding from the brackets,

2x^2 + 16x + 32 - 7

or,

2x^2 + 16x + 25