## Module 4 - Topic 1 - Lesson 5

Transformations of Sine and Cosine Functions

**Essential Question(s):**

How do transformations affect the characteristics of sine and cosine?

**Follow the steps to complete your notes and review the content.**

**STEP 1: Preparation**

__Title__your spiral with the heading above,

__copy__the essential question(s), and draw your border line for the Cornell notes.

**STEP 2: Textbook**

__Answer__the follow questions by using your workbook.

__Read__more than enough to ensure a complete answer to the question.

Following a

__Cornell notes format__, the questions should be written in the left-hand column and with the answers to the right of the question.

Make sure to

__write enough to answer the question__.

__Activity 5.1__

- What characteristics are affected by a vertical dilation? ... a reflection over the x-axis?

__Activity 5.2__

- What characteristics are affected by a horizontal dilation? ... a reflection over the y-axis?
- What is the formula used to determine the period of sine or cosine?
- What is the frequency of a periodic function?
- What is the formula used to determine the frequency of sine or cosine?

__Activity 5.3__

- What is a phase shift?
- What characteristics are affected by a phase shift?
- How does a vertical translation affect sine or cosine?

**STEP 3: Self-check**

Perform a self-check after the lesson is completed in class by asking yourself the following question:

*"Can you*

__answer__the essential question(s)__completely__?"- Yes? Awesome job! You took
__effective notes__, and__paid attention__. You are on your way to success! :D - No? Ok. We all have struggles.
__Determine__why you said no, r__evise__your notes and self-check again.__Do not get discouraged__.