transformations of functions l.
Download
Skip this Video
Loading SlideShow in 5 Seconds..
Transformations of Functions PowerPoint Presentation
Download Presentation
Transformations of Functions

Loading in 2 Seconds...

play fullscreen
1 / 56

Transformations of Functions - PowerPoint PPT Presentation


  • 141 Views
  • Uploaded on

Transformations of Functions. Viviana C. Castellón East Los Angeles College MEnTe Mathematics Enrichment through Technology. Since the ln1 = 0, a good reference point when graphing y = lnx is (1,0). Notice, when graphing y=lnx, the x-intercept is 1. Given the following function,

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about 'Transformations of Functions' - read


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
transformations of functions

Transformationsof Functions

Viviana C. Castellón

East Los Angeles College

MEnTe

Mathematics Enrichment

through Technology

slide2

Since the ln1 = 0, a good

reference point when graphing

y = lnx is (1,0)

Notice, when graphing y=lnx,

the x-intercept is 1

slide3
Given the following function,

If: a > 0, then shift the graph “a” units up, using the reference point (1,0)

If: a < 0, then shift the graph “a” units down, using the reference point (1,0)

slide4
Given the following function,

Since a > 0, then shift the

graph “3” units up, using the

reference point (1,0)

slide12
Given the following function,

We get the expression (x - b)

and equal it to zero

x - b = 0

x = b

If: b> 0, then shift the graph “b” units to the right, using the reference point (1,0)

If: b< 0, then shift the graph “b” units to

the left, using the reference

point (1,0)

slide13
Given the following function,

x – 1 = 0

x = 1

Since 1> 0, then shift the

graph “1” unit right, using the

reference point (1,0)

graphing
Graphing

Recall: Shift “3” units up since 3 > 0

then we use the expression x + 1,

and equal it to zero

x +1 = 0

x = -1

Since –1 < 0, then we shift

“1” unit to the left

slide29

Given the following function,

For this equation, c determines

how wide or thin it will be.

if: |c|>1, then the graph is closer to the y-axis

if: |c|=1, then the graph remains the same

if: 0<|c|<1, then the graph is further

from the y-axis

if c is a negative number, then the graph

will reflect on the x-axis

slide30
Given the following function,

Since |5| > 0, then the

graph is closer to the y-axis

slide40
Given the following function,

Since 4 > 0, shift the graph “4” units up, using the reference point (1,0)

x – 1 = 0

x = 1

Since 1> 0, then shift the graph “1” unit to the right, using the reference point (1,0).

Since |5| > 0 shift the graph

closer to the y-axis.