How to draw graph of this function ?

Question

y=3sin(2x)

Answer 1

Formula you need to know

F(X)=(a)sin(bx+c)+d

 

F(X)=3sin(2x)

 

a=3

b=2

c=0

d=0

 

Now you need to stablish what you need from it;

 

Amp: absolute value of 3

Per:2π/b

P.S:-c/b

V.S:d

 

Amp: 3

Per:π

P.S:0

V.S:0

 Coordinates to put dotes will be:(0,0), (π/4,3) , (π/2,0) , (3π/4,-3), (π,0).

then trace it as a waive

Answer 2

Make the amplitude on the y-axis +/-3.  Find the Period T=2π/ 2= π.   Divide the Period into 4 equal intervals namely  :

 

(0,π/4)   , (π/4,π/2),    (π/2,3π/4),    (3π/4, π). Put these intervals on the x-axis.

 

The pairs of coordinates will be:(0,0),   (π/4,3) ,  (π/2,0) ,  (3π/4,-3),  (π,0).

 

Now, connect the points with a smooth curve.

 

Victor S.