
Concept explainers
Fill in the blank with the appropriate direction (left, right, up, or down).
1.
- (a) The graph of y = f(x) + 3 is obtained from the graph of y = f(x) by shifting __________ 3 units.
- (b) The graph of y = f(x + 3) is obtained from the graph of y = f(x) by shifting __________ 3 units.
(a)

To fill: The appropriate direction of the graph for
Answer to Problem 1E
The graph of
Explanation of Solution
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 fill: The appropriate direction of the graph for
Answer to Problem 1E
The graph of
Explanation of Solution
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
Chapter 2 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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