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The graph of
f(x) = A· cos(bx
+c),
where b is not equal to 0,
can be obtained from the graph of the cosine function by performing the following steps:
- To obtain the graph of
f2(x) = cosbx
compress/stretch the graph of f1(x) = cosx
horizontally to the period
.
- To obtain the graph of
f3(x) = cos(bx + c)
shift the graph of f2(x) horizontally respect to the phase shift
.
- To obtain the required graph f(x) compress/stretch the graph of f3(x)
vertically respect to the amplitude |A|.
Reflect the basic cosine curve in the x-axis if A<0.
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