What are Graphs of Square Root Functions?

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Answer 1 · 2014-10-31T15:14:39

you have half of a parabola.

Consider $y = sqrt x$

$x = 0 => y = 0$
$x = 1 => y =1$
$x = 4 => y = 2$
$x = 9 => y = 3$
$x = -1 =>$ Undefined in $RR$

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