Question

How do you convert `y = -2x^2 + 4x - 5` into vertex form?

Answer 1

`y= -2(x - 1)^2 - 3`

Explanation:

Simply complete the square.

`y= -2(x^2 - 2x) - 5`

`y = -2(x^2 - 2x + 1 - 1) - 5`

`y = -2(x^2 - 2x + 1) + 2 - 5`

`y= -2(x - 1)^2 - 3`

Hopefully this helps!