Question

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

Answer 1

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.