13.4-13.5 Sin and Cos Graphs

Front

What is the difference between y = sinx and y = 4sinx when graphed?

Back

An amplitude change.

Front

What is the period of the sine function y = sinx?

Back

2π.

Front

What is the amplitude of the graph of y = 3sinx?

Back

3.

Front

What is the period of y = -3sinx?

Back

2π.

Front

What is the amplitude of y = 4Cos(2x)?

Back

4.

Front

Define amplitude in the context of sine and cosine graphs.

Back

Amplitude is the maximum distance from the midline to the peak (or trough) of the graph.

Front

What does a phase shift in a sine or cosine graph represent?

Back

A horizontal shift of the graph left or right.

Front

How does the coefficient in front of the sine function affect the graph?

Back

It changes the amplitude of the graph.

Front

What is the general form of a sine function?

Back

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

Front

What is the effect of a negative coefficient in front of the sine function?

Back

It reflects the graph across the x-axis.