How do you graph #y=-1/4sqrtx#, compare it to the parent graph and what is the domain and range?

1 Answer
Nov 1, 2017

#y# is the standard graph of #f(x) = sqrtx# scaled by #-1/4#
Domain: #[0, +oo)# Range: #[0, -oo)#

Explanation:

#y =-1/4sqrtx#

#y# is the standard graph of #f(x) = sqrtx# scaled by #-1/4#

We can see the graphs of #y# (Lower) and #sqrtx# (Upper) below.

graph{(y+1/4sqrtx)(y-sqrtx)=0 [-3.84, 18.66, -5.535, 5.705]}

As can be deduced from the graph of #y# above:

The domain of #y# is #[0, +oo)#

#y# has no finite lower bound.

Hence, the range of #y# is #[0, -oo)#