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

Feb 25, 2018

See explanation

#### Explanation:

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

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]}