Chapter 1.3, Problem 7E

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8th Edition

James Stewart

ISBN: 9781305270343

Textbook Problem

The graph of

To determine

**To create:** A function from the given graph by using transformations.

Explanation

The equation of the given graph is

Let

Notice that the given graph is a semi-circle with the domain [0, 3] and the range [0, 1.5].

Also, it is observed from the given graph that the graph is shifted 4 units to the left and shifted 1 unit downward.

Moreover, the graph is reflected about the origin.

Thus, add 4 to *x* as it shifted 4 units to the left; subtract 1from*f*(*x*)as it shifted 1 unit downward and then multiply *f*(*x*) by −1 as the graph reflects about *x*-axis

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