Your SlideShare is downloading. ×
Transformations02
Upcoming SlideShare
Loading in...5
×

Thanks for flagging this SlideShare!

Oops! An error has occurred.

×

Introducing the official SlideShare app

Stunning, full-screen experience for iPhone and Android

Text the download link to your phone

Standard text messaging rates apply

Transformations02

949
views

Published on

Published in: Technology

0 Comments
0 Likes
Statistics
Notes
  • Be the first to comment

  • Be the first to like this

No Downloads
Views
Total Views
949
On Slideshare
0
From Embeds
0
Number of Embeds
0
Actions
Shares
0
Downloads
1
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. Stretches ... and some reflections. Ballet stretch
  • 2. Translations y = ƒ(x - a) + b The role of parameter a: Examples a > 0 the graph shifts right a units. - the x-coordinates are increased a units. a < 0 the graph shifts left a units. - the x-coordinates are decreased a units. WARNING: watch the sign of a The role of parameter b: b > 0 the graph shifts up b units. - the y-coordinates are increased b units. b < 0 the graph shifts down b units. - the y-coordinates are decreased b units.
  • 3. Stretches ... (and a wee bit about reflections) Let's start with a circle ... Let's look at some graphs ... We'll head over to fooplot.com ...
  • 4. Stretches and Compressions: DICTIONARY The role of parameter a: Examples a > 1 the graph of ƒ(x) is stretched vertically. 0 < |a| < 1 the graph of ƒ(x) is compressed vertically. - the y-coordinates of ƒ are multiplied by a. The role of parameter b: b > 1 the graph of ƒ(x) is compressed horizontally. (Everything quot;speeds upquot;) 0<|b|<1 the graph of ƒ(x) is stretched horizontally. (Everything quot;slows downquot;) - the x-coordinates are multiplied by .
  • 5. Find two equations for this graph, one in sine, the other in cosine.