f(g)=(x-4)^2+6

Sketch a graph of f(x): 4 on y axis and up 6
Identify the vertex: (4,6)
Identify the intervals where f(x) is increasing or decreasing: it increasing [6,00)

Thanks for your help:-)

No, the vertex is at (4,6)

The interval where f(x) is increasing is on the x-axis, or [4,oo)

f(x) increases from 6 upwards, but we talk about an interval in the domain, not the range.