Question

What is the first step when rewriting y = 3x2 + 9x – 18 in the form y = a(x – h)2 + k?

Answer 1

`y=3x^2+9x-18=3(x^2+9x-18)`

Answer 2

y = 3(x² + 3x -6)

Explanation:

We have to rewrite the equation y = 3x² + 9x - 18 in the form of y = a(x - h)² + k.

So first step will be

y = 3(x² + 3x - 6)

y = 3(x² + 3x + 9/4 -9/4 -6) = 3(x² + 3x + 9/4 - 33/4)

y = 3(x + 3/2)² - 99/4