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]}