Question

What is the vertex form of `y= 4x^2 - 8x + 3`?

Answer 1

`y = 4(x-1)^2 -1`

Explanation:

Vertex form is `y = (ax +b)^2 +c` . In this case `a = 2` and `b = - 2`
`(2x -2)^2 = 4x^2 - 8x + 4` so we need to subtract 1
`y = (2x-2)^2 -1` which is better expressed as `y = 4(x-1)^2 -1`