Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 10 - Radical Expressions and Equations - 10-5 Graphing Square Root Functions - Lesson Check - Page 628: 5

Answer

The graph of $\sqrt {x-1}$ is very similar to the graph of $\sqrt x$. A difference between the two graphs is the domain of each graph. $\sqrt {x-1}$ has a domain of $(1, infinity)$ while $\sqrt x$ has a domain of $(0, infinity)$.
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Work Step by Step

Also, the graph of $\sqrt {x-1}$ is shifted one unit to the right (compared to $\sqrt x$). The graph is included--the green line is $\sqrt x$, and the orange line is $\sqrt {x-1}$.
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