CPM Homework Help : PCT Problem 4-105

Describe the transformations and sketch the graphs of the following trigonometric functions.

$y =-2\operatorname{cos}(2x) + 3$

$y = 3\operatorname{sin}(x-π)-1$

Hint (a):

Describe the amplitude, horizontal/vertical shift,
period, and orientation of the graph.

Graph (a):

Hint (b):

Describe the amplitude and horizontal/vertical shift of the graph.

Graph (b):

Periodic curve, labeled, y = negative 2 times cosine of 2 x + 3, x axis scaled from 0 to 2 pi, with 5 visible turning points, first at (0, comma 1), second at (1 half pi, comma 5).

Periodic curve, labeled, y = 3 times sine of the difference of x minus pi minus 1, x axis scaled from 0 to 2 pi, with 2 visible turning points, first at (1 half pi, comma negative 4), second at (3 halves pi, comma 2).