SOLUTION: topic: graphing trip functions what is y=-3sin (x-pi/4)+1 on a graph ..

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Question 820903: topic: graphing trip functions
what is y=-3sin (x-pi/4)+1 on a graph ..










Found 2 solutions by Edwin McCravy, AnlytcPhil:
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
y=-3sin (x-pi/4)+1 

First we draw the graph of 

y = sin(x)



Then we draw the graph of y = 3sin(x) which stretches it three times as high
and low



Then we draw the graph of y = -3sin(x) which reflects the graph in the y axis



Then we draw the graph of y = -3sin(x-pi/4) which shifts it right by pi/4 units.

But to do that we take each of the 5 main points, 0,pi%2F2,pi,3pi%2F2 and 2pi and add pi%2F4 to each"

0%2Bpi%2F4 = pi%2F4
pi%2F2%2Bpi%2F4 = 2pi%2F4%2Bpi%2F4 = 3pi%2F4
pi%2Bpi%2F4 = 4pi%2F4%2Bpi%2F4 = 5pi%2F4
3pi%2F2%2Bpi%2F4 = 6pi%2F4%2Bpi%2F4 = 7pi%2F4
2pi%2Bpi%2F4 = 8pi%2F4%2Bpi%2F4 = 9pi%2F4




Then we draw the graph of y = -3sin(x-pi/4)+1 which shifts the graph up 1 unit.



Edwin

Answer by AnlytcPhil(1807) About Me  (Show Source):
You can put this solution on YOUR website!
Question 820903
y=-3sin (x-pi/4)+1 

First we draw the graph of 

y = sin(x)



Then we draw the graph of y = 3sin(x) which stretches it three times as high
and low



Then we draw the graph of y = -3sin(x) which reflects the graph in the y axis



Then we draw the graph of y = -3sin(x-pi/4) which shifts it right by pi/4 units.

But to do that we take each of the 5 main points, 0,pi%2F2,pi,3pi%2F2 and 2pi and add pi%2F4 to each"

0%2Bpi%2F4 = pi%2F4
pi%2F2%2Bpi%2F4 = 2pi%2F4%2Bpi%2F4 = 3pi%2F4
pi%2Bpi%2F4 = 4pi%2F4%2Bpi%2F4 = 5pi%2F4
3pi%2F2%2Bpi%2F4 = 6pi%2F4%2Bpi%2F4 = 7pi%2F4
2pi%2Bpi%2F4 = 8pi%2F4%2Bpi%2F4 = 9pi%2F4




Then we draw the graph of y = -3sin(x-pi/4)+1 which shifts the graph up 1 unit.



Edwin