Upcoming SlideShare
×

Introduction transformations

11,859 views

Published on

0 Likes
Statistics
Notes
• Full Name
Comment goes here.

Are you sure you want to Yes No
• Be the first to comment

• Be the first to like this

Views
Total views
11,859
On SlideShare
0
From Embeds
0
Number of Embeds
7,296
Actions
Shares
0
43
0
Likes
0
Embeds 0
No embeds

No notes for slide

Introduction transformations

1. 1. INTRODUCTION TO TRANSFORMATIONS Objectives: Identify Parent Functions Recognize Types of Transformations
2. 2. PARENT FUNCTIONS <ul><li>Parent Function - A function that generates a family of functions. </li></ul>
3. 3. COMMON TYPES OF PARENT FUNCTIONS
4. 4. More Parent Function Types
5. 5. Even More Parent Functions
6. 6. TRANSFORMATIONS <ul><li>Transformations- A change in the position and/or size of a figure or graph. </li></ul>A &quot;transformation” of a parent function preserves the parent function’s structure. <ul><li>There are 3 types of transformations: </li></ul><ul><ul><li>Translation </li></ul></ul><ul><ul><li>Reflection </li></ul></ul><ul><ul><li>Stretch </li></ul></ul>
7. 7. TRANSLATION <ul><li>Translation- A transformation that moves every point on a figure a given distance in a given direction. </li></ul>&quot;Translation&quot; simply means Shifts … without rotating, stretching or anything else, just shifts.     
8. 8. REFLECTIONS <ul><li>Reflections- A transformation creating a mirror image of a figure or graph on the opposite side of a line </li></ul>Every point is the same distance from the central (mirror) line ... and ...The reflection has the same size as the original image
9. 9. Stretch <ul><li>Stretch - a transformation in which the size of a figure or graph changes, but the shape of the figure or graph stays the same. </li></ul>Stretch Stretch in
10. 10. Transforming Parent Functions <ul><li>Sketch the graph of a f(x) = √x parent function. </li></ul>
11. 11. Translation of Parent Function <ul><li>Sketch a vertical translation </li></ul> 
12. 12. <ul><li>Now sketch a horizontal translation. </li></ul> 
13. 13. Reflection of Parent Function <ul><li>Sketch the parent function of a quadratic. </li></ul>Sketch a vertical refection of the parent function Possible Example: What is the line of reflection?