# How do you graph y = \sqrt{4x+4}?

Nov 12, 2014

By rewriting a bit,

$y = \sqrt{4 x + 4} = \sqrt{4 \left(x + 1\right)} = \sqrt{4} \sqrt{x + 1} = 2 \sqrt{x + 1}$

Step 1: Sketching the graph of $y = \sqrt{x}$.

Step 2: Sketch the graph of $y = 2 \sqrt{x}$ by vertically stretching the graph in Step 1 by a factor of $2$.

Step 3: Sketch the graph of $y = 2 \sqrt{x + 1}$ by shifting the graph in Step 2 to the left by 1 unit.

I hope that this was helpful.