# How does the graph of the function y=3sqrtx compare with the graph of the parent square root function?

$y = 3 \sqrt{x}$ is vertically stretched 3 times compared to $y = \sqrt{x}$.
This is because of the coefficient 3 in front of the $\sqrt{x}$.
Every point (x,y) on $y = \sqrt{x}$ corresponds to point (x,3y) on $y = 3 \sqrt{x}$. For example, points (0,0), (1,1), and (4,2) on $y = \sqrt{x}$ correspond to points (0,0), (1,3), and (4,6) on $y = 3 \sqrt{x}$.