anyone know anything about graphing Sine Waves?

Question

i understand basic sine waves but when i need to shift the graph is when i get confused. y= -3 + 3Sin(1/4)(x - (pi/2)) i don't really get how to solve this. i need to find the amplitude, period and the axis of wave. any help would be great, i'm not lazy and just don't want to do homework i really don't understand this and this is a last resort...kinda

Answer 1

Generally:

Any operator in front (in this case -3) is going to shift the whole graph by an absolute amount (in this case, down by 3).

Then any multipliers in front of the function (3 in this case) are going to determine the amplitude of the sine wave. (So in this case it's going to oscillate by a factor of 3, between -6 and 0 if my math isn't too rusty).

And then the period is determined by what's inside the parenthesis. Here I think there's an error in your formula how you typed it, so I'm not going to guess what it ought to be. But usually what's immediately inside the parenthesis is the period, then plus or minus some factor is going to give you the phase shift.

Answer 2

STEP a million:locate the values of each and every of the loving angles specifically cos0,cos180,cos360 that's a million,-a million,a million and each and all the others like 30 40 5,60 ninety,120etc until finally 360 STEP 2:take a graph paper and make an x axis(horizontal line)and then y axis (vertical) STEP 3:call the assembly factor as 0.then make equivalent marking of 30 40 5 60 ninety a hundred and twenty......360 on x axis STEP 4:on y axis make factors interior the order of 0 then value AS an entire form of cos 60 and price of cos 40 5,then value of cos 30 and a million same down in detrimental fringe of y axis STEP 5:purely make a pair interior the graph paper like at 0 in x it particularly is a million in y then proceed plotting couples like one hundred eighty in x is -a million in y and then ninety in x is 0 in y and then after all until finally 360 are finished. connect them youll get an uphill down hill shape which starts from 0.5 uphill. youre finished think of itll help you

Answer 3

never even heard 'bout them