Chrome File Edit View History Bookmarks Window People Help w

Chrome File Edit View History Bookmarks Window People Help -writing My Paperi-x x .Southeast Missour xDCourse: Spring 201X/ Assgn- xo) C faculty.semo.edu/xswang/ma 137/assignment7.htm 3. Consider the sinsoilow 3. Consider the sinusoidal function plotted below. (a) Find a, b, c, d such that the graph above is y = a sin(bx-c) + d. (a) Find a, b, c, d such that the graph above is y = cos(bx-c) + d.

Solution

(a) The above graph for y=asin(bx-c)+d

a=(-8-(-2))/2=-3

b=1

c=phase shift=horizontal shift=-5pi/6

d=vertical shift= -5

therfore asin(bx-c)+d= -3 sin(x+5pi/6)-5

(b) acos(bx-c)+d= -3cos(x+pi/3)-5

here, a=-3

b=1

c=-pi/3

d=-5