Given equation of parabola is

Or we can simplify that to

This equaion looks similar to formula

Comparing both equation, we get:
a=1, h=4, k=2
(h,k) represents the vertex of the parabola
Hence vertex of the given parabola is (4,2).
So x-value of the vertex = 4
So y-value of the vertex = 2
Axis of symmetry is given by equation x=h
So the answer will be x=4
Now we will set y=0 and solve this using quadratic formula including desriminant



compare with quadratic equation
, we get:
a=1, b=-8, c=18
Descriminant is given by formula:

which is imaginary
Hence there will be no real solution for x-intercept.