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Presentation transcript:

Work on worksheet with 8 multiple choice questions. Warm UP! Work on worksheet with 8 multiple choice questions.

Copyright © 2009 Pearson Education, Inc.

Trig Curves Transformed Graph Sine, Cosine Functions

Variations of the Basic Graphs We are interested in the graphs of functions in the form y = A sin B (x – h) + k and y = A cos B (x – h) + k B careful! where A, B, h, and k are all constants. These constants have the effect of translating, reflecting, stretching, and shrinking the basic graphs. Copyright © 2009 Pearson Education, Inc.

Trig Curves Transformed Graph Sine, Cosine, and Tangent Functions Equation of a Sine Function Amplitude Period Complete Cycle

Trig Curves Transformed Graphing a Sine Functions Draw one cycle of the function’s graph. Amplitude Period

Trig Curves Transformed Graphing a Sine Functions Draw one cycle of the function’s graph. Amplitude Period

Trig Curves Transformed Graphing a Sine Functions Draw one cycle of the function’s graph. Amplitude Period

Trig Curves Transformed Graph Sine, Cosine, and Tangent Functions Equation of a Cosine Function Amplitude Period Complete Cycle

Trig Curves Transformed Graphing a Cosine Functions Draw one cycle of the function’s graph. Amplitude Period

Trig Curves Transformed Graphing a Cosine Functions Draw one cycle of the function’s graph. Amplitude Period

Trig Curves Transformed Graphing a Cosine Functions Draw one cycle of the function’s graph. Amplitude Period

Trig Functions Translation Translations of Trigonometric Graphs Translation of a Sine Function Amplitude Period

Trig Functions Translation Translations of Trigonometric Graphs Translation of a Sine Function Amplitude Period

Trig Functions Translation Graphing a Vertical Translation Graph the function. Amplitude Translation down 2 Period

Trig Functions Translation Graphing a Vertical Translation Graph the function. Amplitude Translation up 3 Period

Trig Functions Translation Graphing a Horizontal Translation Graph the function. Amplitude Period Translation right p

Trig Functions Translation Graphing a Horizontal Translation Graph the function. Amplitude Period Translation left p

Trig Functions Translation Graphing a Horizontal Translation Graph the function. Amplitude Period Translation right p/2

Trig Functions Translation Graphing a Reflection Graph the function. Amplitude Period Reflection over x-axis

Trig Functions Translation Graphing a Reflection Graph the function. Amplitude Period Reflection over x-axis

Trig Curves Transformed Homework Sec 8.2 1- 15 odds