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

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]}