FST - Sine and Cosine Transformations

Front

What is the general form of a sine function?

Back

y = A sin B(x – C) + D

Front

What is the general form of a cosine function?

Back

y = A cos B(x – C) + D

Front

What does the variable 'A' represent in the function y = A sin B(x – C) + D?

Back

Amplitude of the sine wave.

Front

What does the variable 'B' affect in the function y = A sin B(x – C) + D?

Back

The period of the sine wave.

Front

What does the variable 'C' represent in the function y = A sin B(x – C) + D?

Back

The horizontal shift (phase shift) of the sine wave.

Front

What does the variable 'D' represent in the function y = A sin B(x – C) + D?

Back

The vertical shift of the sine wave.

Front

What is the amplitude of the function y = 5sin(x)?

Back

5

Front

What is the period of the function y = sin(2x)?

Back

π (since period = 2π/B, where B=2)

Front

What is the vertical shift of the function y = 3cos(x) + 4?

Back

Up 4 units.

Front

What is the amplitude of the function y = -2cos(3x)?

Back

2 (amplitude is always positive).