# Investigating the Cosine Curve

- Author:
- hertelm

- Topic:
- Cosine

Use the applet below in order to see how the midline affects the range of the function

Use the sliders above to investigate how each letter, A, B, and D effect the graph.

Which letter effects the amplitude?

How does the b value change the graph? When it is less then 1? When it is greater then 1? try b = 1/2 and b = 5, describe how the curve changes.

How does the d value effect the graph. Try y = cos x +2. What happens? Amp? period?

Graph y = 2 cos x +4 State the amplitude, period, and vertical shift

What is the range of the function y = 2 cos x +4

Graph y = -3 cos 2x -1 Amp? Period? Vertical Shift?

Range of y = -3 cos 2x -1