## College Algebra (10th Edition)

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).