1. 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

2. 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

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

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interactive alg lesson 3

5. 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

6. 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?

7. 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

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

9. 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

10. 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|

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

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

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

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

15. 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|.

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

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

18. 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|.

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

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

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

22. 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| ?

23. 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|.

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

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

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

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

28. 2nd half of lesson
Click to continue with the lesson

29. 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|

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

31. 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.

32. The “T” Table
X Y 1 2 -1

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

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

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

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

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

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

39. 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.

40. The “T” Table
X Y 2 4 6 -1

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

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

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

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

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

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

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

48. 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.

49. The “T” Table
X Y 2 4 6 -1

50. 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

51. 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

52. 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

53. 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

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

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

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

57. 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

58. Class work
Do worksheet 4.7

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