What are Graphs of Square Root Functions?

1 Answer
Oct 31, 2014

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