SOLUTION: on graph paper draw the graph of y = 2 sin(pi times x) for 0, or = x , or = 2 times pi and identify amplitude, period and the number of cycles completed in the given interval??? I

Question 557478: on graph paper draw the graph of y = 2 sin(pi times x) for 0, or = x , or = 2 times pi and identify amplitude, period and the number of cycles completed in the given interval??? I have no idea how to even begin, Any assistance is appreciated :)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
on graph paper draw the graph of y = 2 sin(pi times x) for 0, or = x , or = 2 times pi and identify amplitude, period and the number of cycles completed in the given interval
**
Equation for graphing sin function: y=Asin(Bx-C), A=amplitude, Period=2π/B, Phase shift=C/B.
For given equation, y=2sin(πx) for 0 ≤ x ≤ 2π
Amplitude=2
B=π
Period=2π/B=2π/π=2
1/4 Period=2/4=1/2
C=0
Phase shift: none
Graphing:
On an (x,y) coordinate system with the x-axis labeled in radians, make the following tick marks on the x-axis: 1/2, 1, 3/2, 2, 5/2, 3, 7/2, 4 (this covers 2 periods)
Plot the following points: (0,0), (1/2,2), (1,0), (3/2,-2), (2,0), (5/2,2), (3,0), (7/2,-2), (4,0)
I don't have the means to graph it for you but you have the info you need to graph given sin function. Note: Your graph should have the same shape as the basic sin curve.
RELATED QUESTIONS
for each of the following functions find the amplitude the period and describe the... (answered by greenestamps)

I need to determine an amplitude, period and shift phase for each function. and I half... (answered by lwsshak3)

Find the amplitude, period, and phase shift of the function, and graph one full phase... (answered by Alan3354)

Determine the amplitude, period, and phase shift of the function, y=1/2... (answered by user_dude2008)

y=2sin(x-pi/2)find the amplitude, phas shift, and period for the graph of each function. (answered by lwsshak3)

I.Find the amplitude, period, and phase shift of the function II. Sketch the graph A. (answered by lwsshak3)

Find the amplitude, period, and phase shift for each function, and sketch its graph. y=... (answered by lwsshak3)

y=1/2 sin ( x + Pi/2 ) my home work is asking me to determine the amplitude, period,... (answered by stanbon)

State the amplitude, period, phase shift, and vertical shift for the following function,... (answered by stanbon)