College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Section 2.6 - Transformations of Functions - 2.6 Exercises - Page 243: 29

Answer

Refer to the blue graph below.

Work Step by Step

RECALL: The function $y=f(x)+c$ involves a vertical shift of $c$ upward of the parent function $f(x)$ when $c \gt 0$. The given function is in the same format as the equation above, and has $c=3$. This means that the graph of $y=x^2+3$ involves a vertical shift of $3$ units upward of the parent function $y=x^2$ Thus, to graph the given function: (1) Graph the parent function $y=x^2$ . (Refer to the red graph in the attached image below) (2) Shift the parent function 3 units upward. (Refer to the blue graph in the attached image above.) (Refer to the attached image in the answer part above for the graph.)
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.