Question

How to write this equation in vertex form: `y=4x^2+7x`?

Answer 1

We complete the square:

`y = 4(x^2 + 7/4 x) = 4(x^2+ 7/4 x + 7^2/8^2) - 4(7^2/8^2)`

`y = 4 (x - -7/8)^2 - 49/16`