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
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