Sine and Cosine Graphs

Front

What is the equation of a cosine graph with an amplitude of 1/2 and a frequency of 4?

Back

y = 1/2 cos(4x)

Front

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

Back

y = sin(x) - 2

Front

Identify the type of function: y = sin(x) or y = cos(x) if the graph starts at the origin and goes up.

Back

y = sin(x)

Front

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

Back

y = 5 cos(x)

Front

Identify the type of function: y = sin(x) or y = cos(x) if the graph starts at its maximum value.

Back

y = cos(x)

Front

What is the general form of a sine function?

Back

y = A sin(Bx + C) + D, where A is the amplitude, B affects the period, C is the phase shift, and D is the vertical shift.

Front

What is the general form of a cosine function?

Back

y = A cos(Bx + C) + D, where A is the amplitude, B affects the period, C is the phase shift, and D is the vertical shift.

Front

How do you determine the period of a sine or cosine function?

Back

The period is given by the formula: Period = 2π / |B|, where B is the coefficient of x.

Front

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

Back

The amplitude is 3.

Front

What is the effect of changing the value of A in the function y = A sin(x)?

Back

Changing A affects the amplitude of the graph.