A1.9

sketch graphs of $y=af(k(x-d))+c$ by applying one or more transformations to the graphs of $f(x)=x$, $f(x)=x^2$, $f(x)=\sqrt{x}$, and $f(x)=\frac{1}{x}$, and state the domain and range of the transformed functions Sample problem: Transform the graph of $f(x)$ to sketch $g(x)$, and state the domain and range of each function, for the following: $f(x)=\sqrt{x}$, $g(x)=\sqrt{x-4}$; $f(x)=\frac{1}{x}$, $g(x)=-\frac{1}{x+1}$.