How do you graph #y=sqrt(x)-4#?

1 Answer
May 15, 2017

See explanation

Explanation:

The graph of #y=sqrt(x)-4# is simply the graph of #y=sqrt(x)# shifted down #4# units

First let's look at the graph of #y=sqrt(x)#
graph{sqrt(x) [-10, 10, -5, 5]}

Then, in order to get the graph of #y=sqrt(x)-4# we shift the entire function down #4# units. Algebraically speaking, we subtract #4# from each #x#-value and replot the function. The end result is then this graph of #y=sqrt(x)-4#
graph{sqrt(x)-4 [-10, 10, -5, 5]}