# What is the parent graph of a square root function?

Aug 13, 2018

$y = {x}^{2}$ with explicit domain $\left[0 , \infty\right)$

#### Explanation:

You could use $y = {x}^{2}$ with explicit domain $\left[0 , \infty\right)$ as the parent graph:

graph{(sqrt(x)/sqrt(x))x^2 [-4.767, 5.23, -0.6, 4.4]}

Reflecting this in the diagonal line $y = x$ we get the graph of $y = \sqrt{x}$:

graph{sqrt(x) [-4.767, 5.23, -0.6, 4.4]}