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# Transformation s of (x) 2 Use shifts and scalings to ISBN: 9780321570567 2

## Solution for problem 31E Chapter 1.2

Calculus: Early Transcendentals | 1st Edition

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Problem 31E

Transformation ? s? of? (??x) ? 2 Use shifts and scalings to transform the gra? p? of f??? ) ?= x2 into the grap ? h of ? . Use a graphing utility only to check your work. ? ? a.?? (?x)? f(x ? 3) ? ? ? ? b.? ? ) ?= f(2? ? 4) ? ? ? ? c ?g(?x)= ?3f? (?x ? 2) + 4 d.?

Step-by-Step Solution:

Step-by-step solution Step 1 of 9 We have to replace the value of x by x-3 in the function x , like follows: 2 2 2 Developing the expression , using the formula (a b) = a 2ab + b : Step 2 of 9 Remember these tips when we shift functions horizontally and vertically: horizontally k units to the right : (x-k) horizontally k units to the left : (x+k) vertically h units upwards : (x)+ h vertically h units downwards : (x)- h Step 3 of 9 Step 4 of 9 Step 5 of 9 Applying distributive property and grouping, we have:

Step 6 of 9

Step 7 of 9

##### ISBN: 9780321570567

This full solution covers the following key subjects: use, shifts, grap, graphing, scalings. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. The answer to “Transformation ? s? of? (??x) ? 2 Use shifts and scalings to transform the gra? p? of f??? ) ?= x2 into the grap ? h of ? . Use a graphing utility only to check your work. ? ? a.?? (?x)? f(x ? 3) ? ? ? ? b.? ? ) ?= f(2? ? 4) ? ? ? ? c ?g(?x)= ?3f? (?x ? 2) + 4 d.?” is broken down into a number of easy to follow steps, and 69 words. Since the solution to 31E from 1.2 chapter was answered, more than 309 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 31E from chapter: 1.2 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567.

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