g(x)=(2/3)x(x+8)
In this form the x intercepts are easy to find...these are just the roots
So (2/3) x (x - 8 ) = 0 multiply through by 3/2
x ( x - 8) = 0
x = 0 is a root = x intercept
And
x - 8 = 0
x = 8 is a root = x intercept
This is a parabola....The axis of symmetry is vertical..this is just the average of the roots
So...the axis of symmetry is
x = (0 + 8) / 2
x = 8 /2
x = 4 = axis of symmetry