# What are Graphs of Square Root Functions?

Oct 31, 2014

you have half of a parabola.

Consider $y = \sqrt{x}$

$x = 0 \implies y = 0$
$x = 1 \implies y = 1$
$x = 4 \implies y = 2$
$x = 9 \implies y = 3$
$x = - 1 \implies$ Undefined in $\mathbb{R}$

You have upper part of a parabola that opens to the right

If you consider $y = - \sqrt{x}$

You have the lower part of a parabola that opens to the right.

$\sqrt{y} = x$ and $- \sqrt{y} = x$ behaves similarly