4.2 Amplitude, Reflection, and Period
Sketch a graph of y=sin(x) and y = 2 sin(x)
Feb 1­9:59 AM
Section 4.2
Graph these on our calculators:
1.
y = 0.5 sin 2.
y = ­ sin 3.
y = ­ 3 sin x
x
x
Oct 21­7:43 PM
1
You try graphing both these guys:
5.
y = 2 cos 6.
y = ­ 0.25 cos x
x
Feb 1­10:03 AM
Sketch a graph of y=sin(x) and y = sin(2x)
Feb 1­9:59 AM
2
Graph these and compare them to the graphs of cos(x), and sin(x)
1.
y = cos (2
2.
y = sin 3
3.
y = sin 4.
y = cos
x)
x ( Notice that we often leave off the parentheses.)
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Altitude & Period for Sine and Cosine:
Feb 1­10:06 AM
3
Find an equation that matches this graph.
Things to think about:
­­ what function do I want to use?
­­ what is the period shown? ­­ what value of B would produce that period?
Oct 21­8:43 PM
Find an equation that matches this graph.
Oct 21­9:08 PM
4
Find an equation that matches this graph.
Oct 21­8:09 PM
How about this one?
Oct 21­8:55 PM
5
What happens if there is a negative as part of the argument of sine or cosine?
1.
y = cos (­2
x)
2.
y = 3sin (­
x)
Hint: think about odd and even functions.
Oct 21­9:38 PM
6