Sine and Cosine Graphs

Front

What does phase shift mean?

Back

A left or right movement of the graph.

Front

How can the period of a sine or cosine graph be found?

Back

The period is calculated using the formula 2π/B.

Front

Identify the function: y=sinx or y=cosx?

Back

y=cosx.

Front

What is the equation of the graph that is shifted down by 2 units?

Back

y = sin x - 2.

Front

What is the equation of the graph that is a cosine function with a vertical shift down by 3 and a reflection?

Back

y = -2 cos x - 3.

Front

What is the amplitude of the function y = 3sin(x)?

Back

The amplitude is 3.

Front

What is the effect of changing the value of B in the function y = sin(Bx)?

Back

Changing B affects the period of the graph; the period is 2π/B.

Front

What does a negative sign in front of the cosine function indicate?

Back

It indicates a reflection over the x-axis.

Front

What is the range of the sine function?

Back

The range is [-1, 1].

Front

What is the phase shift of the function y = sin(x - π/2)?

Back

The phase shift is π/2 to the right.