## Algebra and Trigonometry 10th Edition

$f(x)=8\sqrt x$
Since the graph follows the shape $f(x)=\sqrt x$ we will start with that equation: $f(x)=\sqrt x$ Notice the graph has been stretched vertically (by a factor of k) and will follow the below equation: $f(x)=k \sqrt x$ Substitute (4,16) into the above equation to solve for k: $16=k\sqrt 4$ $k=8$ So we get the final function: $f(x)=8\sqrt x$