Question

How do you complete the square to find the vertex for `y + 6 = x^2 - 5x`?

Answer 1

`y+6 = x^2-5x`

`y = x^2-5x-6`

`y = x^2 -5x + color(blue) (25/4) -6 -color(blue)(25/4)`

`y = (x-5/2)^2-(24+25)/4`

`y = (x-5/2)^2 -49/4`

Vertex: `(5/2, -49/4)`