# How do you graph y=5sqrtx, compare it to the parent graph and what is the domain and range?

We know that $y = 5 {x}^{2}$ has the form graph{5x^2 [-5.06, 6.043, -1.09, 4.455]}
We know also that $y = \sqrt{x}$ is inverse of $y = {x}^{2}$. Hence both graphs are simmetric with respect to $y = x$ graph{x [-8.71, 11.29, -2.53, 7.465]}
For those reasons $y = 5 \sqrt{x}$ has the following form graph{5x^0.5 [-23.7, 163.9, -15.86, 77.8]}
Dom $y = 5 \sqrt{x}$ is $\left[0 , \propto\right)$ and Range is also $\left[0 , \propto\right)$