Question

What is the axis of symmetry and vertex for the graph `y= 6x^2 +2x+4`?

Answer 1

Vertex `(-1/6,23/6)`
Axis of symmetry `x=-1/6`

Explanation:

Given -

`y=6x^2+2x+4`

`x=(-b)/(2a)=(-2)/(2xx6)=-1/6`

At `x=-1/6`

`y=6(-1/6)^2+2(-1/6)+4`
`y=6(1/36)-2/6+4`
`y=1/6-1/3+4=(1-2+24)/6=23/6`

Vertex `(-1/6,23/6)`
Axis of symmetry `x=-1/6`