Your SlideShare is downloading. ×
  • Like
Introduction transformations
Upcoming SlideShare
Loading in...5
×

Thanks for flagging this SlideShare!

Oops! An error has occurred.

×

Now you can save presentations on your phone or tablet

Available for both IPhone and Android

Text the download link to your phone

Standard text messaging rates apply

Introduction transformations

  • 1,821 views
Published

 

Published in Education , Business , Technology
  • Full Name Full Name Comment goes here.
    Are you sure you want to
    Your message goes here
    Be the first to comment
    Be the first to like this
No Downloads

Views

Total Views
1,821
On SlideShare
0
From Embeds
0
Number of Embeds
2

Actions

Shares
Downloads
28
Comments
0
Likes
0

Embeds 0

No embeds

Report content

Flagged as inappropriate Flag as inappropriate
Flag as inappropriate

Select your reason for flagging this presentation as inappropriate.

Cancel
    No notes for slide

Transcript

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