Vertical and Horizontal Shifts of Graphs

[Pages:53]CHAPTER 1 A Review of Functions

Section 1.3: Transformations of Graphs

Vertical and Horizontal Shifts of Graphs Reflecting, Stretching, and Shrinking of Graphs Combining Transformations

Vertical and Horizontal Shifts of Graphs Graphs of Some Basic Functions:

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University of Houston Department of Mathematics

SECTION 1.3 Transformations of Graphs

MATH 1330 Precalculus

55

CHAPTER 1 A Review of Functions

56

University of Houston Department of Mathematics

SECTION 1.3 Transformations of Graphs

MATH 1330 Precalculus

57

CHAPTER 1 A Review of Functions

Vertical Shifts of Graphs:

Horizontal Shifts of Graphs:

58

University of Houston Department of Mathematics

SECTION 1.3 Transformations of Graphs

Example: Solution:

MATH 1330 Precalculus

59

CHAPTER 1 A Review of Functions

Example: Solution:

Additional Example 1: 60

University of Houston Department of Mathematics

Solution:

SECTION 1.3 Transformations of Graphs

Additional Example 2:

MATH 1330 Precalculus

61

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