What is the parent graph of a square root function?

1 Answer
Aug 13, 2018

#y=x^2# with explicit domain #[0, oo)#

Explanation:

You could use #y = x^2# with explicit domain #[0, oo)# 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]}