Transformation of graphs

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Transformation of graphs

1 Important concepts

2 Graph of a function

3 Input to the function

4 Output of the function

5 Arithmetic operations

6 Addition/subtraction operations

7 Product/division operations

9 Effect of arithmetic operations

10 Forms of representation

11 Transformation of graph by input

12 Addition and subtraction to independent variable

13 Multiplication and division of independent variable

14 Negation of independent variable

15 Combined input operations

16 Horizontal shift

Transformation of graphs using output

1 Addition and subtraction operation with function

2 Multiplication and division of function

3 Negation of function

4 Combined output operations

5 Combined input and output operations

6 Acknowledgment

Transformation of graphs by modulus function

1 Plotting concept

2 Modulus function applied to the independent variable

3 Modulus function applied to the function

4 Modulus function applied to dependent variable

5 Modulus function applied to inverse function

Transformation of graphs by greatest integer function

Transformation applied by fraction part function

Source: OpenStax, Functions. OpenStax CNX. Sep 23, 2008 Download for free at http://cnx.org/content/col10464/1.64

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