Transformations of Functions - PowerPoint PPT Presentation

Loading...

PPT – Transformations of Functions PowerPoint presentation | free to download - id: e06db-ZDJmN



Loading


The Adobe Flash plugin is needed to view this content

Get the plugin now

View by Category
About This Presentation
Title:

Transformations of Functions

Description:

Mathematics Enrichment. through Technology. Graphing. Given the following function, If: a 0, then shift the graph 'a' units up. If: a 0, then shift the graph 'a' ... – PowerPoint PPT presentation

Number of Views:234
Avg rating:3.0/5.0
Slides: 44
Provided by: east50
Category:

less

Write a Comment
User Comments (0)
Transcript and Presenter's Notes

Title: Transformations of Functions


1
Transformations of Functions
  • Viviana C. Castellón
  • East Los Angeles College
  • MEnTe
  • Mathematics Enrichment
  • through Technology

2
Graphing
3
  • Given the following function,
  • If a gt 0, then shift the graph a units up
  • If alt0, then shift the graph a units down

4
  • Given the following function,
  • Since a gt 0, then the graph will be
  • shift up 5 units

5
Lets Graph
6
  • Given the following function,
  • How will the graph look?

7
Lets Graph
8
  • Given the following function,
  • Since a lt 0, then the graph will be
  • shift down 3 units

9
Lets Graph
10
  • Given the following function,
  • How will the graph look?

11
Lets Graph
12
Given the following function
  • For this equation, b is inside the square root.
  • We get the expression and equal it to zero.
  • If b gt 0, then shift the graph b
  • units right
  • If b lt 0, then shift the graph b
  • units left

13
  • Given the following function,
  • We get the expression and equal it to zero.
  • Since b lt 0, then shift the graph
  • 2 units left

14
Lets Graph
15
  • Given the following function,
  • How will the graph look?

16
Lets Graph
17
  • Given the following function,
  • How will the graph look?

18
Lets Graph
19
  • Given the following function,
  • How will the graph look?

20
Lets Graph
21
  • Recall
  • a gt 0 then shift up
  • a lt 0 then shift down
  • Equal the expression to zero
  • b gt 0 then shift to the right
  • b lt 0 then shift to the left

22
  • Given the following function,
  • How will the graph look?

23
Lets Graph
24
  • Given the following function,
  • How will the graph look?

25
Lets Graph
26
  • Given the following function,
  • How will the graph look?

27
Lets Graph
28
  • Given the following function,
  • How will the graph look?

29
Lets Graph
30
Given the following function,
For this equation, c determines how wide or thin
half of the parabola will be. if cgt1, then the
graph is closer to the y-axis if c1, then the
graph remains the same if 0ltclt1, then the
graph is further from the y-axis if c is a
negative number, then the graph will reflect on
the x-axis
31
Lets Graph
32
Lets Graph
33
Lets Graph
34
  • Recall
  • agt0 then shift up
  • alt0 then shift down
  • Equal the function to zero
  • bgt0 then shift to the right
  • blt0 then shift to the left
  • if cgt1, then the graph is closer to the y-axis
  • if c1, then the graph is the same
  • if 0ltclt1, then the graph is further from the
    y-axis

35
  • Given the following function,
  • How will the graph look?

36
Lets Graph
37
  • Given the following function,
  • How will the graph look?

38
Lets Graph
39
  • Given the following function,
  • How will the graph look?

40
Lets Graph
41
  • Given the following function,
  • How will the graph look?

42
Lets Graph
43
Congratulations!! You just completed the
transformation of
About PowerShow.com