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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 2.5, Problem 1E

(a)

To determine

**To fill:** The appropriate direction of the graph for

Expert Solution

The graph of

Let the graph of

Add a constant *c* in

Add a constant to a function shifts its graph horizontally.

If *c* is positive then the graph will shifts upward by *c* unit at all points.

If *c* is negative then the graph will shifts downward by *c* unit at all points.

The given equation is,

Compare equation (1) and (2) and obtain

Since the value of *c* is 3, therefore the graph of

Hence, the graph of

(b)

To determine

**To fill:** The appropriate direction of the graph for

Expert Solution

The graph of

Let the graph of

Add a constant *c* in

Add a constant to a function shifts its graph horizontally.

If *c* is positive then the graph will shift to the left by *c* unit at all points.

If *c* is negative then the graph will shift to the right by *c* unit at all points.

The given equation is,

Compare equation (3) and (4) and obtain

Since the value of *c* is 3, therefore the graph of

Hence, the graph of