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

1 Answer
Nov 12, 2014

By rewriting a bit,

y=sqrt{4x+4}=sqrt{4(x+1)}=sqrt{4}sqrt{x+1}=2sqrt{x+1}

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

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

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

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I hope that this was helpful.