PreCalculus: 01/25/2007

Quickstart
Unit Circle Retake

(4.5) Graphs of Sine and Cosine Curves [continued]
Objective: Students will know how to sketch graphs of sine and cosine functions.

III. Translations of Sine and Cosine Curves
Vertical Translations - Graphing Calculator
What happens when d changes?
Graph
y = sin x
y = sin x + 1
y = sin x - 1
y = sin x - (1/2)
y = sin x + π
How does the graph change?

Vertical Translations - Sketching
Changing d changes the y-coordinates of our 5 critical points.
The five critical points will start with a y-coordinate of d if we are graphing the sine function and d + a if we are graphing a cosine function.

Use the Notetaking Guide to take notes

Homework
p. 331 #51, 53