   Chapter 12.4, Problem 1E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# Suppose we want to graph an equation in x and y .(a) If we replace x by x − 3 , the graph of the equation is shifted to the _____ by 3 units. If we replace x by x + 3 , the graph of the equation is shifted to the ____ by 3 units.(b) If we replace y by y − 1 , the graph of the equation is shifted ______ by 1 unit. If we replace y by y + 1 , the graph of the equation is shifted _______ by 1 unit

To determine

(a)

To fill:

The blanks and complete the statement.

Explanation

Approach:

If h is a positive real number, then replacing x with xh shifts the graph of f(x) to the right by h units and replacing x with x+h shifts the graph of f(x) to the left by h units.

Calculation:

Therefore, if we replace x by x3, the graph of the equation is shifted to the right by 3 units

To determine

(b)

To fill:

The blanks and complete the statement.

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