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

1 Answer
Oct 10, 2017

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

Explanation:

The graph of sqrtx 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 (0,2). Now what happens if we plug in 0 into sqrtx? You get the point (0,0). Notice that the y values for the coordinate goes up by two. You can use this method to logically determine how the graph looks.