Question

Which graph shows the axis of symmetry for the function f(x) = (x – 2)2 + 1?

Answer 1

we have

`f(x) = (x-2)^(2)+1`

This is a quadratic equation (vertical parabola) open up

so

the axis of symmetry is the coordinate x of the vertex

Find the vertex of the function

the vertex is the point--------->
`(2,1)`

so

the axis of symmetry is
`x=2`

therefore

the answer in the attached figure