How do you change the equation y = ƒ(x) to shift its graph

Problem 9QGY Chapter 1

Thomas' Calculus: Early Transcendentals | 13th Edition

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Thomas' Calculus: Early Transcendentals | 13th Edition

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Problem 9QGY

How do you change the equation y = ƒ(x) to shift its graph vertically up or down by Horizontally to the left or right? Give examples.

Step-by-Step Solution:

Step 1 of 3:

In this problem, we need to change the equation $y\ =\ f(x)$ to shift its graph vertically up or down by $\left|{k}\right|$ horizontally to the left or right.

Step 2 of 2:

Conditions for the shifted graphs:

If $a>0$ and $f(x)$ given, then

If the graph shifted a units right then $f(x-a)$

If the graph shifted a units left then $f(x+a)$

If the graph shifted a units up then $f(x)+a$

If the graph shifted a units down then $f(x)-a$

Step 3 of 3

Chapter 1, Problem 9QGY is Solved

Textbook: Thomas' Calculus: Early Transcendentals

Edition: 13th

Author: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass

ISBN: 9780321884077

This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13th. Since the solution to 9QGY from 1 chapter was answered, more than 228 students have viewed the full step-by-step answer. The answer to “How do you change the equation y = ƒ(x) to shift its graph vertically up or down by Horizontally to the left or right? Give examples.” is broken down into a number of easy to follow steps, and 26 words. The full step-by-step solution to problem: 9QGY from chapter: 1 was answered by Sieva Kozinsky, our top Calculus solution expert on 08/01/17, 02:37PM. Thomas' Calculus: Early Transcendentals was written by Sieva Kozinsky and is associated to the ISBN: 9780321884077. This full solution covers the following key subjects: change, down, equation, Examples, give. This expansive textbook survival guide covers 138 chapters, and 9198 solutions.