Question

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

Answer 1

See details below

Explanation:

We know that `y=5x^2` has the form graph{5x^2 [-5.06, 6.043, -1.09, 4.455]}
We know also that `y=sqrtx` 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=5sqrtx` has the following form graph{5x^0.5 [-23.7, 163.9, -15.86, 77.8]}
Note that the last graph has no trace under x axis
Dom `y=5sqrtx` is `[0,prop)` and Range is also `[0,prop)`