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: 19

Answer

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.
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