SOLUTION: Write the equation of a sine curve that has an amplitude of 3, a period of and a phase shift of .

Question 621372: Write the equation of a sine curve that has an amplitude of 3, a period of and a phase shift of .
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Your values for period and phase shift did not get properly rendered. (I cannot see them). However, I can still try yo answer.

The amplitude is the number in front of "sin".
So your equation would be .
The factor B multiplying the variable in that parenthesis is related to the period (P) by
The angle measure is the phase shift, showing how far ahead (angle-wise) is the shifted function with respect to the "unshifted" .
(Physicist, electricians and electrical engineers are concerned with those angles).
So would be the equation for a sine curve with amplitude 3, period and phase shift .
The horizontal shift of the curve would be more complicated.
The graph would be horizontally shifted to the right by .
and is what we call the horizontal shift, which is what concerns students graphing curves.
The equations above are for curves "evenly straddling" the x axis, as in
for with a period of 2, a horizontal shift of and a phase shift of .
We can also shift the curve up or down, as in the graph below, shifted up by 1 unit
for .
RELATED QUESTIONS
Write an equation of a sine function with the given amplitude=3 period=2pi/3 and phase... (answered by stanbon)

write an equation of the sine function with the given amplitude, period, phase shift,... (answered by lwsshak3)

Write an equation for a sine curve that has the given amplitude, period, and phase shift. (answered by lwsshak3)

Write the equation of a sine function with an amplitude of 2, period pi, and phase shift... (answered by lwsshak3)

Write an equation of the sine function with each amplitude, period, and phase shift.... (answered by solver91311)

Write an equation of the sine function with: amplitude = 7 period = 3π phase... (answered by stanbon)

Please help me solve this question, write an equation of the sine function Amplitude: 2 (answered by Alan3354)

Write a sine function with the given amplitude, period, phase shift, and vertical shift. (answered by lwsshak3)

Write a reflection of a sine function with a period of 2 pi, an amplitude of 1/2, and a... (answered by Fombitz)