# How do you graph y=sqrt(x)+2?

Oct 10, 2017

The graph should like the square root graph moved upwards two units.

#### Explanation:

The graph of $\sqrt{x}$ is something you should definitely memorize! It looks like this:

graph{sqrtx [-10, 10, -5, 5]}

Logically, what should happen if you add $2$ to the right-hand side? The entire graph should be bumped up by $2$, so the final result would look like this:

graph{sqrtx+2 [-10, 10, -5, 5]}

If you're not sure why, let's plug in some points. What happens if we plug in $0$ into the given function? You get the point $\left(0 , 2\right)$. Now what happens if we plug in $0$ into $\sqrt{x}$? You get the point $\left(0 , 0\right)$. Notice that the y values for the coordinate goes up by two. You can use this method to logically determine how the graph looks.