Graphing Sine and Cosine

Front

What is the vertical shift for y = 4 cos(x + π) - 2?

Back

down 2

Front

The period of a sine or cosine graph can be found by ....

Back

2π/b

Front

What is the period of either graph? y = sin(x) & y = cos(x)

Back

2π

Front

Your starting point for the graph of y = -3 cos(x) should be on the...

Back

min

Front

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

Back

3

Front

Define amplitude in the context of sine and cosine functions.

Back

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

Front

What does a negative amplitude indicate in a cosine function?

Back

It indicates that the graph is reflected over the midline.

Front

How does a vertical shift affect the graph of a sine or cosine function?

Back

It moves the graph up or down without changing its shape.

Front

What is the effect of changing the value of 'b' in the function y = sin(bx)?

Back

It affects the period of the graph, calculated as 2π/b.

Front

What is the midline of a sine or cosine graph?

Back

The horizontal line that represents the average value of the function.