1.) y = 3x +2 2.) y = 3x - 4 3.) y = x Bellwork Graph ~ use slope-intercept 1.) y = 3x +2 2.) y = 3x - 4 3.) y = x

What do you notice about the two graphs? y = 3x +2 & y = 3x - 4 What do you notice about the two graphs? y = 3x + 2 Y Why? X y = 3x - 4

What is the y-intercept? y = x What is the y-intercept? Y X y = x What is the slope?

List of Clicks Start internet explorer high school favorite links student high school hub mathematics interactive alg lesson 3

1.) y = -2x +3 2.) y = 2x - 2 3.) y = x Bellwork Graph ~ use slope-intercept 1.) y = -2x +3 2.) y = 2x - 2 3.) y = x

What do you notice about the two graphs? y = -2x +3 & y = 1/2x - 2 y = 1/2x - 2 y = -2x + 3 Y X What do you notice about the two graphs?

y = -2x +3 & y = 1/2x - 2 When the slopes are opposite reciprocals like -2 and 1/2 the lines will be perpendicular Y X

What is the y-intercept? y = x What is the y-intercept? Y X y = x What is the slope?

To be able to graph an absolute value equation. Today’s Objective To be able to graph an absolute value equation. Ex.) y = -2|x -1| + 2

The graph of y = x with the graph of y = |x| Let’s Compare The graph of y = x with the graph of y = |x|

y = x y = |x| Graph y = x & y = |x| Y-intercept = 0 Slope = up1 over1

Let’s Compare What do you notice that’s different about the graph of y = |x| and the graph of y = x?

Graph y = |x| + 2 Y y = |x| + 2 VERTEX X

Compare y = |x| + 2 and y = |x| What’s the difference? X y = |x|

How does the graph of y = |x| differ from the graph of y = |x| + 2? Tell your neighbor what you notice about the difference. How does the graph of y = |x| differ from the graph of y = |x| + 2? The graph of y = |x| + 2 is 2 units above y = |x|.

Graph y = |x| - 3 Y X y = |x| - 3

Compare y = |x| - 3 and y = |x| What’s the difference? X y = |x| - 3

How does the graph of y = |x| differ from the graph of y = |x| - 3? Tell your neighbor what you notice about the difference. How does the graph of y = |x| differ from the graph of y = |x| - 3? The graph of y = |x| - 3 is 3 units below y = |x|.

Graph y = |x + 2| Y y = |x + 2| X

Graph y = |x - 2| Y X y = |x - 2|

Compare all 3 Y y = |x+2| X y = |x-2| y = |x|

How do the graphs of y = |x| differ from y = |x+2| and y = |x -2| ? Tell your neighbor what you notice about the difference. How do the graphs of y = |x| differ from y = |x+2| and y = |x -2| ?

The graph of y = |x+2| is 2 units left of y = |x|. Tell your neighbor what you notice about the difference. The graph of y = |x+2| is 2 units left of y = |x|. The graph of y = |x-2| is 2 units right of y = |x|.

Compare all 3 Y y = |x+2| X y = |x-2| y = |x|

Graph y = |x - 3| Y You try this one. X

Graph the following: 1.) y = x + 2 2.) y = |x| - 5 3.) y = |x - 5| 4.) y = |x + 3| 5.) y = |x| + 3

Graph the following: 6.) y = 2|x| 7.) y = 2|x| - 1 8.) y = 2|x - 1|

2nd half of lesson Click to continue with the lesson

Graph them on the same graph. Bellwork 11/15 Graph Graph them on the same graph. 1.) y = |x| 2.) y = |x| - 3 3.) y = |x -3| 4.) y = -|x|

1.)y = |x|, 2.)y = |x| - 3, 3.)y = |x-3|,4.)y = -|x|

Graphing Equations with absolute value y = |x| + 1 Make a “T” table. Pick 4 numbers for x and plug them into the equation one at a time.

The “T” Table X Y 1 2 -1

First pick for x is 1 y = |x| + 1 y = |1| + 1 y = 1 + 1 y = 2

Second pick for x is 2 y = |x| + 1 y = |2|+ 1 y = 2 + 1 y = 3

Third pick for x is 0 y = |x| + 1 y = |0|+ 1 y = 0 + 1 y = 1

Fourth pick for x is -1 y = |x| + 1 y = |-1|+ 1 y = 1 + 1 y = 2

Graph y = |x| + 1 Y X y = |x|+1

Take Notes Copy the following example so you will be able to use it to do your homework…..

Graphing Equations with absolute value y = |x - 3| Make a “T” table. Pick 4 numbers for x and plug them into the equation one at a time.

The “T” Table X Y 2 4 6 -1

First pick for x is 2 y = |x - 3| y = |2 - 3| y = |-1| y = 1

Second pick for x is 4 y = |x - 3| y = |4 - 3| y = |1| y = 1

Third pick for x is 6 y = |x - 3| y = |6 - 3| y = |3| y = 3

Fourth pick for x is -1 y = |x - 3| y = |-1 - 3| y = |-4| y = 4

Let’s pick 3 and see what happens Graph y = |x -3| Y X Let’s pick 3 and see what happens

Fifth pick for x is 3 y = |x - 3| y = |3 - 3| y = |0| y = 0

Graph y = |x -3| Y X y = |x-3|

Graphing Equations with absolute value y = -2|x -1| + 2 Make a “T” table. Pick 4 numbers for x and plug them into the equation one at a time.

The “T” Table X Y 2 4 6 -1

First pick for x is 2 y =-2 |2 - 1| + 2 y = -2|1| + 2 y = -2(1) + 2 y = -2|x -1| + 2 y =-2 |2 - 1| + 2 y = -2|1| + 2 y = -2(1) + 2 y = 0

Second pick for x is 4 y = -2|4 - 1| + 2 y = -2|3| + 2 y = -2(3) + 2 y = -2|x -1| + 2 y = -2|4 - 1| + 2 y = -2|3| + 2 y = -2(3) + 2 y = -4

Third pick for x is 6 y = -2|6 - 1| + 2 y = -2|5| + 2 y = -2(5) + 2 y = -2|x -1| + 2 y = -2|6 - 1| + 2 y = -2|5| + 2 y = -2(5) + 2 y = - 8

Fourth pick for x is -1 y = -2|-1 - 1| + 2 y = -2|-2| + 2 y = -2|x -1| + 2 y = -2|-1 - 1| + 2 y = -2|-2| + 2 y = -2(2) + 2 y = -2

Let’s pick 1 and see what happens Graph y = -2|x -1| + 2 Let’s pick 1 and see what happens Y X

Fifth pick for x is 1 y = -2|x - 1| + 2 y = -2|1 - 1| + 2

Graph y = -2|x -1| + 2 y = -2|x-1|+2 Y X

1.) y = 2|x| - 3 2.) y = 2|x - 3| 3.) y = -3|x + 3| 4.) y = -3|x| + 3 Graph the following: 1.) y = 2|x| - 3 2.) y = 2|x - 3| 3.) y = -3|x + 3| 4.) y = -3|x| + 3 Make a “T” Table

Class work Do worksheet 4.7

Home work Do page 220 (5-12 & 25-32)