1.6 Reflections, Absolute Values, and Other Transformations.notebook September 14, 2011
1.6 Reflections, Absolute Values, and Other Transformations
Aug 31­11:16 AM
Don't aim for success if you want it ; just do what you love and believe in, and it will come naturally.
David Frost
May 27­18:58
1.6 Reflections, Absolute Values, and Other Transformations.notebook September 14, 2011
May 27­19:07
1. Dilation Exploration: www.keymath.com/precalc
When settings are c = 1 and d = ­1, and they are switched to c = ­1 and d = 1, what happens with the graphs?
Jun 8­2:43 PM
1.6 Reflections, Absolute Values, and Other Transformations.notebook September 14, 2011
Recall Vocab
Absolute Value:
Jun 8­2:46 PM
Let a. Graph f(x)
b. Graph c. Graph
Aug 31­11:22 AM
1.6 Reflections, Absolute Values, and Other Transformations.notebook September 14, 2011
d. Graph f(­x) is a reflection...
e. Graph ­f(x) is a reflection...
Aug 31­11:25 AM
Odd Functions
• f ( ­ x ) = ­ f ( x )
• graphs are symmetric over the origin
• Odd degree functions
Even Functions
• f (­ x ) = f ( x )
• graphs are symmetric over the y ­ axis
• Even degree functions
Jun 9­7:39 AM
1.6 Reflections, Absolute Values, and Other Transformations.notebook September 14, 2011
5. Examples of Odd Functions (anything trig?):
sinθ
sin(-45)=-sin45
6. Examples of Even Functions (anything trig?):
cosθ
cos(-60)=cos60
Aug 31­11:27 AM
Graph the following and discuss their differences graphically.
y = x 3 y = x 3 y = x 3
Jun 9­7:44 AM