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

1 Answer
Anthony R.
Feb 25, 2018

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.

![slideplayer.com](useruploads.socratic.org)

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]}

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