Question

WRITE IN VERTEX FORM


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


2)y= -2x^2-4x-11

Answer 1

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

2)
`y=-2(x+1)^2-9`

Explanation:

The equation of the parabola in the vertex form is

`y=a(x-h)^2+k,`

where
`(h,k)` is the vertex of the parabola.

1) Given:

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

Rewrite it as

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

2) Given:

`y= -2x^2-4x-11`

Rewrite it as

`y=-2x^2-4x-2-9\\ \\y=-2(x^2+2x+1)-9\\ \\y=-2(x+1)^2-9`