Question

How do you rewrite `y=3x^2+9x-18` in the form `y=a(x-h)^2+k`?

Answer 1

The answer is `y=3(x+3/2)^2-99/4`

Explanation:

We rewrite the equation in the vertex form by completing the squares

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

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

`y=3(x^2+3x+9/4)-18-27/4`

`y=3(x+3/2)^2-99/4`

This is the vertex form