Question

What is the vertex form of `y=-4x^2+4x-1`?

Answer 1

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

Explanation:

Take `-4` as a common factor

`y=-4(color(green)(x^2-x)+1/4)`

By completing the Square to the elements in green

`y=-4(color(green)((x-1/2)^2-1/4)+1/4)`

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

The Function represents a parabola with the vertex `(-1/2,0)` and opened downwards