How do you use the amplitude and period to graph # 3cos2x+4 #?

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Answer 1 · 2016-02-20T05:53:55

Amplitude #=3#
Period #=pi=3.141592653#

From the Trigonometric Function of this form #y=a cos (bx-c)#
Amplitude #=abs(a)#
Period #=(2pi)/abs(b)#

From the given, Let #y=3 cos 2x+4#

Let #a=3# and #b=2#

Amplitude #=abs(a)=abs(3)=3#
Period #=(2pi)/abs(b)=(2pi)/abs(2)=pi=3.141592653#

the #4# is the vertical shift

Kindly see the graph

graph{y=3 cos (2x)+4[-25,25,-10,10]}

Have a nice day!