Consider the function y 3sin 2x pi2 1 to answer the follo

Consider the function y = 3sin (2(x + pi/2)) - 1 to answer the following questions. 6. The period of this function is .7. This function has a horizontal shift of .8. This function has a vertical shift of .9. The amplitude is, the maximum is, and the minimum is .10. The parent function to the function given is .11. Graph the given function and its parent function. Be sure to label each graph.

Solution

6. period of the function is given by 2(x+pi/2) =2 pi

by solving we get period=pi/2

7.horizontal shift is by -pi/2 units i.e shifted to left by pi/2 units

8.vertical shift is -1 unit  i.e shifted to downward by 1 unit

9.maximum = 2 and minimum is -4

10.parent function is y=sin(x)