SOLUTION: In comparison to the graph y=3cosx, specifically describe the type of transformation of the graph of y=3cos(x+Pi/3)

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Question 1159753: In comparison to the graph y=3cosx, specifically describe the type of transformation of the graph of y=3cos(x+Pi/3)
Answer by MathLover1(20850) (Show Source):
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In comparison to the graph , specifically describe the type of transformation of the graph of
Let us first look at
compare it to
... amplitude
.........If B is equal to 1, then it takes 2pi to complete a period; so, a period is 2pi
.........no horizontal displacement (or shift)
It is easy to characterize the effect of changes in as a mapping (, ) to (, ) and this is a translation either moving the graph to the left if C is positive, or to the right if is negative.
now look at compare it to
only difference is the value of which is , so
and this is a translation moving the graph to the