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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]}

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