Download presentation

Presentation is loading. Please wait.

Published byEmily Cruz Modified over 3 years ago

1
2.6 Families of Functions 1.Translations 2.Stretches, Shrinks and Reflections

2
2) Stretches and Shrinks Stretching a rubber band vertically makes it longer Releasing or shrinking it makes it wider Stretching and shrinking a graph is the same idea… What does it look like?

3
2) Stretches and Shrinks Shrink Graph is SHORTER, WIDER Stretch Graph is TALLER, NARROWER

4
2) Stretches For stretches, y = a|x| a > 1

5
2) Stretches For stretches, y = a|x| a > 1 a is SLOPE

6
2) Stretches Example 1: Graph y = 2|x|.

7
2) Stretches Example 1: Graph y = 2|x|. y = 2|x| Slope = Vertex =

8
2) Stretches Example 1: Graph y = 2|x|. y = 2|x| Slope = 2 Vertex = (0, 0)

9
2) Stretches Example 1: Graph y = 2|x|. Step 1: Plot the vertex

10
2) Stretches Example 1: Graph y = 2|x|. Step 1: Plot the vertex Step 2: Use slope to plot points

11
2) Stretches Example 1: Graph y = 2|x|. Step 1: Plot the vertex Step 2: Use slope to plot points

12
2) Stretches Example 1: Graph y = 2|x|. Step 1: Plot the vertex Step 2: Use slope to plot points

13
2) Stretches Example 1: Graph y = 2|x|. Step 1: Plot the vertex Step 2: Use slope to plot points

14
2) Stretches Example 2: Write an equation for the graph below.

15
2) Stretches Example 2: Write an equation for the graph below. Vertex = Slope =

16
2) Stretches Example 2: Write an equation for the graph below. Vertex = (0, 0) Slope = 4, -4

17
2) Stretches Example 2: Write an equation for the graph below. Vertex = (0, 0) Slope = 4 y = -4|x|

18
2) Shrinks …kind of like you stepped on the graph…

19
2) Shrinks For shrinks, y = a|x| 0 < a < 1

20
2) Shrinks Example 1: Draw the graph of y = -0.5|x|.

21
2) Shrinks Example 1: Draw the graph of y = -0.5|x|. slope = 0.5 = 1 2 vertex = (0, 0) opens DOWN

22
2) Shrinks Example 1: Draw the graph of y = -0.5|x|.

23
2) Shrinks Example 1: Draw the graph of y = -0.5|x|. Slope = 1 2

24
2) Shrinks Example 1: Draw the graph of y = -0.5|x|. Slope = 1 2

25
2) Shrinks Example 1: Draw the graph of y = -0.5|x|. Slope = 1 2

26
2) Shrinks Example 2: Graph y = -0.75|x – 2| + 2

27
Example 2: Graph y = - 0.75|x – 2| + 2 slope = 0.75 shift RIGHT 2 shift UP 2 = 3 4 2) Shrinks Opens DOWN

28
2) Shrinks Example 2: Graph y = -0.75|x – 2| + 2 Vertex = (2, 2) Slope = 3 4

29
2) Shrinks Example 2: Graph y = -0.75|x – 2| + 2 Vertex = (2, 2) Slope = 3 4

30
2) Shrinks Example 2: Graph y = -0.75|x – 2| + 2 Vertex = (2, 2) Slope = 3 4

31
2) Shrinks Example 2: Graph y = -0.75|x – 2| + 2 Vertex = (2, 2) Slope = 3 4

32
Homework p.98 #17, 19, 22, 25, 34, 36, 43-45, 49 QUIZ: 2.5-2.7 Tuesday Sept 29 TEST: Chapter 2 Friday Oct 2 (I know you have a Literature test… but trust me, its better this way).

Similar presentations

Presentation is loading. Please wait....

OK

Transformations of Linear and Absolute Value Functions

Transformations of Linear and Absolute Value Functions

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on storage devices-recent trends Ppt on monetary policy Ppt on meaning and importance of communication Ppt on role of mass media Reliability of the bible ppt on how to treat Ppt on producers consumers and decomposers worksheets Ppt on schottky diode application Ppt on marie curie's discoveries Ppt on endangered animals in india Ppt on game theory examples