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?

Algebra ->  Graphs -> 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?      Log On


   



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) About Me  (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
graph%28300%2C200%2C-6%2C6%2C-1%2C1%2Csin%28x%29%29
graph%28300%2C200%2C-6%2C6%2C-1%2C1%2Csin%28x%2B%28pi%2F4%29%29%29
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.