Graphing Transformation of Trigonometric Functions

Graphing Transformation of Trigonometric Functions

Learning Objectives:

Understand to Graph Transformations of Trigonometric Functions.

Math Tutoring on Graphing Transformations of Trigonometric Functions

If we consider Transformations of Sine and Cosine functions then it will be:

  and .

Some important features of above equations are:

1.     is the Amplitude.

2.    2π/B is the Period.

3.    C is the Vertical Translation.

·       If C>0, the function is translated up C units.

·       If C<0, the function is translated down  units.

4.    D is the Horizontal Translation.

·       If D>0, the function is translated right D units.

·       If D<0, the function is translated  units to the left.

In Math Tutoring, if we consider Transformations of Tangent and Cotangent functions then it will be:

  and 

Some salient features of above equations are:

1.    No Amplitude, since there is no maximum and minimum values.

2.    π/B is the Period.

 

 

 

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Hook Questions:

1.    What is the definition of Amplitude and Period?

2.    What are the Vertical and Horizontal Translation of Sine and Cosine functions?

3.    Why there is no Amplitude in Tangent function?

 

 

 

 

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Struggling with Graphing Transformations of Trigonometric Functions? Need math help for homework? You are not the only one. Fortunately, our expert tutors in math tutoring are online now and are ready to help.

 

 

 

 

 

 

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