College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 2 - Section 2.7 - Graphing Techniques - 2.7 Exercises - Page 256: 68

Answer

See the picture below.

Work Step by Step

By calculating the values of $f(x)=\sqrt{x}-2$ (with blue) and $g(x)=\sqrt{x}$ (with red) we can see that the value of $f(x)$ is 2 less, than $g(x)$ for each corresponding x. In order to graph the exact parent graph, here is the table of values: $g(0)=\sqrt0=0$ $g(1)=\sqrt1=1$ $g(2)=\sqrt2=\sqrt2$ $g(3)=\sqrt3=\sqrt3$ $g(4)=\sqrt4=2$ (The square root function is not defined for negative numbers.) Therefore the graph of $f(x)$ is exactly the same as the graph of $g(x)=\sqrt{x}$ but is translated 2 units down.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.