What is the graph of #y=sin(x-pi/4)#?

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Answer 1 · 2014-10-06T04:19:09

Remember back to the unit circle. The #y# values correspond to sine.

#0# radians #-> (1,0)# the result 0

#pi/2# radians #-> (0,1)# the result is 1

#pi# radians #-> (-1,0)# the result is 0

#(3pi)/2# radians #-> (0,-1)# the result is -1

#2pi# radians #-> (1,0)# the result is 0

Each of these values are moved to the right #pi/4# units.

Enter the sine functions.
The blue function is without the translation.
The red function is with the translation.

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Set the ZOOM to option 7 for Trig functions.

Press WINDOW and set the Xmax to #2pi# the calculator converts the value to the decimal equivalent.

Set the Xmin to 0.

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Press the GRAPH button.

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