Upcoming SlideShare
×

# Pre-Cal 40S Slides February 28, 2008

803 views

Published on

Stretches and reflections.

Published in: Technology
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
803
On SlideShare
0
From Embeds
0
Number of Embeds
99
Actions
Shares
0
8
0
Likes
0
Embeds 0
No embeds

No notes for slide

### Pre-Cal 40S Slides February 28, 2008

1. 1. Stretches ... and some reflections. Ballet stretch
2. 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. 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. 4. Stretches and Compressions: DICTIONARY The role of parameter a: a > 1 the graph of ƒ(x) is stretched vertically. Examples 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 .