Transforming the Graphs of Sine and Cosine - Concept

Concept Concept (1)

The coefficients A and B in y=Asin(Bx) or y=Acos(Bx) each have a different effect on the graph. If A and B are 1, both graphs have an amplitude of 1 and a period of 2pi. For sine and cosine transformations, when A is larger than 1, the amplitude increases and is equal to the value of A; if A is negative, the graph reflects over the x-axis. When B is greater than 1, the period decreases; use the formula 2pi/B to find the period.

Sample Sample Problems (3)

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Transforming the Graphs of Sine and Cosine - Problem 1
Problem 1
How to graph a stretched sine function.
Transforming the Graphs of Sine and Cosine - Problem 2
Problem 2
How to graph a stretched cosine function.
Transforming the Graphs of Sine and Cosine - Problem 3
Problem 3
How to graph a stretched cosine function with an integer period.