Answer
see image:
Work Step by Step
Let $f_{1}(x)=x^{2}$.
Then, $f(x)=f_{1}(x-3)-10$.
Starting with the graph of $f_{1}(x)=x^{2}$ (black-dashed),
shift it right 3 units to obtain the graph of $f_{1}(x-3)$ (green dashed),
and then lower it $10$ units down to obtain $f_{1}(x-3)-10=f(x)$ (red).