Question

How do you graph `y=sqrt(x+1)` and compare it to the parent graph?

Answer 1

See explanation

Explanation:

First begin by graphing the parent graph: `y=sqrtx`
graph{sqrtx [-10, 10, -5, 5]}
Now to graph `y=sqrt(x+1)`, let us take a look at the transformation rules concerning `y=sqrtx`.

As we can see, the `+1` inside the radical implies a horizontal translation or shift. That means that we take each point on the parent graph and shift them `1` unit to the left.

The resulting graph is then...

graph{sqrt(x+1) [-10, 10, -5, 5]}