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

Oct 6, 2014

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

$0$ radians $\to \left(1 , 0\right)$ the result 0

$\frac{\pi}{2}$ radians $\to \left(0 , 1\right)$ the result is 1

$\pi$ radians $\to \left(- 1 , 0\right)$ the result is 0

$\frac{3 \pi}{2}$ radians $\to \left(0 , - 1\right)$ the result is -1

$2 \pi$ radians $\to \left(1 , 0\right)$ the result is 0

Each of these values are moved to the right $\frac{\pi}{4}$ units.

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

Set the ZOOM to option 7 for Trig functions.

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

Set the Xmin to 0.

Press the GRAPH button.