Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 2 - Section 2.6 - Transformations of Functions - 2.6 Exercises - Page 206: 19


a) Move $f(x)$ to the left two. b) Move $f(x)$ upward two.

Work Step by Step

a) When trying to move a parabola left or right, the intended operation must be placed within a set of parentheses with $x$ and THEN it can be squared. For example, if you want to move a parabola of $x^2$ right $3$, you must write it as $(x-3)^2$. In this case, we want to move left, therefore we must use an addition sign and follow the same procedure. $(x+2)^2$. b) When trying to move a parabola up or down, the intended operation must written directly after the $x^2$. Think of it this way, We have $x^2$, but when we add $2$, it's like moving the bottom of the parabola up.
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.