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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 1.3, Problem 6E

To determine

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

Expert Solution

The function of the shown graph is

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 2 units horizontally and stretched 2 units vertically.

Thus, subtract 2 from *x* and multiply *y* by 2.

Therefore, the given function is changed as follows.

Thus, the function of the shown graph is