### Home > PC3 > Chapter 6 > Lesson 6.1.1 > Problem 6-21

6-21.

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

This is a cosine graph with an amplitude of

and shifted up units.

Begin by sketching the midline at, then boundary linesunits above and units below the midline. The function is vertically reflected and has a period of

, so sketch an inverted cosine function with the correct period in between the boundary lines.

This is a sine graph with an amplitude of

and shifted down unit.

Begin by sketching the midline at, then boundary linesunits above and units below the midline. The period of the function is unchanged from the parent function, but this curve is shifted

units to the right.