Question

What is the vertex form of `y= x^2/3 + 7x + 2`?

Answer 1

In vertex form : `y=1/3(x+21/2)^2 -417/12`

Explanation:

`y=x^2/3+7x+2` or

`y= 1/3(x^2+21x) +2 or y= 1/3(x^2+21x +(21/2)^2) -(1/3*21^2/4)+2` or

`y=1/3(x+21/2)^2 -441/12 +2 or y=1/3(x+21/2)^2 -417/12`

In vertex form : `y=1/3(x+21/2)^2 -417/12`

Vertex is at `(-21/2, -417/12)`
graph{x^2/3+7x+2 [-80, 80, -40, 40]} [Ans]