Answer:
See attachment
Step-by-step explanation:
Assuming the equation is
[tex]f(x) = {6}^{x - 3} - 3[/tex]
Then we have a transformed exponential function whose parent function is
[tex]g(x) = {6}^{x} [/tex]
We can see that:
There is a transformation of the form:
[tex]f(x) = g(x - 3) - 3[/tex]
The parent function has been shifted to the right 4 units and down 3 units.
The is shown in attachment.