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2.4 Families of Func. WEB August 28, 2014 2.4 Families of Functions

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2.4 Families of Func. WEB August 28, 2014

2.4 Families of Functions

2.4 Families of Func. WEB August 28, 2014

What is a translation?

What is a types of functions will we be translating?

Linear functions

Absolute Value functions

Quadratic functions

Cubic functions

Rational functions

Radical functions

a translation is moving every point a constant distance in a specified direction

2.4 Families of Func. WEB August 28, 2014

Graph the functions y=x , y =x + 4 and y=x - 2 2 2 2

How do the 3 graphs compare?

2.4 Families of Func. WEB August 28, 2014

Graph the functions y=x , y =(x+4) and y=(x-2) 2 2 2

2.4 Families of Func. WEB August 28, 2014

Summary

HW 2.4 pg 82 (1-4, 11, 13, 15)

2.4 Families of Func. WEB August 28, 2014

Comparing y=f(x), y=-f(x), and y=f(-x)

2.4 Families of Func. WEB August 28, 2014

Note that a stretch is either an expansion or compression.

An expansion is a stretch by a factor greater than 1.

A compression is a stretch by a factor less than 1.

2.4 Families of Func. WEB August 28, 2014

Complete the table of values and graph for the following Quadratics

x y x y x y123

0312

20.50

20.5

Stretching

2.4 Families of Func. WEB August 28, 2014

2.4 pg 85 (7-10, 12, 14, 16, 17, 19, 22-24, 27-30, 32, 35)

2.4 Families of Func. WEB August 28, 2014

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