Sine and Cosine Graphs

Front

What is the equation of the sine graph with an amplitude of 2?

Back

y = 2 sin x

Front

What is the amplitude of the graph y = 2 sin x?

Back

2

Front

What is the equation of the cosine graph with an amplitude of 5?

Back

y = 5 cos x

Front

What is the amplitude of the graph y = 3 sin(7x) - 2?

Back

3

Front

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

Back

The period is π.

Front

What does the amplitude of a sine or cosine function represent?

Back

The maximum distance from the center line to the peak or trough.

Front

How do you determine the period of the function y = cos(kx)?

Back

The period is 2π/k.

Front

What is the equation of the graph with a period of 4?

Back

y = sin(π/2 x) or y = cos(π/2 x).

Front

What is the range of the function y = 2 sin x?

Back

[-2, 2]

Front

What is the phase shift of the function y = sin(x - π/4)?

Back

The phase shift is π/4 to the right.