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

1 Answer

Amplitude =3
Period =pi=3.141592653

Explanation:

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!