How do you graph #y=sqrt(2x)# and how does it compare to the parent function?

1 Answer
Sep 2, 2017

#y# is the standard graph of #sqrtx# scaled by #sqrt2#

Explanation:

#y = sqrt(2x)#

Remember: #sqrt(ab) = sqrta xx sqrtb#

#:.y = sqrt2 xx sqrtx#

Hence, #y# is the standard graph of #sqrtx# scaled by #sqrt2#

This can be seen below by the graphs of #y# (upper) and #sqrtx#.

graph{(y-sqrt(2x))(y-sqrtx)=0 [-2.38, 4.548, -0.54, 2.923]}