Question

How do you write the equation in vertex form `x=y^2+14y+20`?

Answer 1

`x=(y+7)^2-29`

Explanation:

Vertex form of equation is `x=a(y-k)^2+h`

as `x=y^2+14y+20`

= `(y^2+2xx7xxy+7^2-7^2+20`

= `(y+7)^2-49+20`

i.e. `x=(y+7)^2-29`

This is the equation in vertex form with vertex at `(-29,-7)`
graph{y^2+14y+20-x=0 [-35.33, 4.67, -16.64, 3.36]}