SOLUTION: Whats an example of an equation of a trigonometric function which has a phase shift of -45. Can you attach a graph of this function that includes its parent graph?

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Question 1040796: Whats an example of an equation of a trigonometric function which has a phase shift of -45. Can you attach a graph of this function that includes its parent graph?
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
y=sin (x+pi/4). Here, sin (bx+c), the phase shift is -c/b or -pi/4, which is 45 degrees.
The parent graph is y=sin x


The second graph shows the sin starting from -45 degrees or just under 1 radian (abscissa is radian scale)
One way to look at it is to see what it takes to make the sine 0, and here it would be to start at -pi/4 for x, for then the sin will be of 0, and that is 0.

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