We have the original function
[tex]f(x)=x^2[/tex]
The graph is
As we can see with the graph shown is translated
- displacement 4 units to the right
- shift up by 6 units
for the displacement 4 units, we need to subtract for units to the x
[tex]f(x)=(x-4)^2[/tex]
the shift up we need to add 6 to the function, and we obtain the function of the graph
[tex]f(x)=(x-4)^2+6[/tex]
t
