Fri 10/2 Lesson 2 – 8 Learning Objective: To graph two variable inequalities Hw: Pg. 118 #8 –...
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Transcript of Fri 10/2 Lesson 2 – 8 Learning Objective: To graph two variable inequalities Hw: Pg. 118 #8 –...
![Page 1: Fri 10/2 Lesson 2 – 8 Learning Objective: To graph two variable inequalities Hw: Pg. 118 #8 – 17, 39 – 41, *46.](https://reader036.fdocuments.in/reader036/viewer/2022062408/56649ec55503460f94bcf4bf/html5/thumbnails/1.jpg)
Without graphing, identify the vertex, axis of symmetry, and transformation from the parent function
1.
2.
Warm – up #8
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1.
V (2, 4)Axis of Symmetry: x = 2
Right 2 Up 4Reflect over x-axis
Warm – up #8 Solutions
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2.
V (0, -7)
Axis of Symmetry: x = 0
Down 7Reflect over x-axis
Reflect over y-axis -x
Warm – up #8 Solutions
![Page 4: Fri 10/2 Lesson 2 – 8 Learning Objective: To graph two variable inequalities Hw: Pg. 118 #8 – 17, 39 – 41, *46.](https://reader036.fdocuments.in/reader036/viewer/2022062408/56649ec55503460f94bcf4bf/html5/thumbnails/4.jpg)
Homework Log
Fri
10/2
Lesson 2 – 8
Learning Objective: To graph two variable inequalities
Hw: Pg. 118 #8 – 17, 39 – 41, *46
![Page 5: Fri 10/2 Lesson 2 – 8 Learning Objective: To graph two variable inequalities Hw: Pg. 118 #8 – 17, 39 – 41, *46.](https://reader036.fdocuments.in/reader036/viewer/2022062408/56649ec55503460f94bcf4bf/html5/thumbnails/5.jpg)
10/2/15 Lesson 2 – 8 Two Variable Inequalities
Algebra II
![Page 6: Fri 10/2 Lesson 2 – 8 Learning Objective: To graph two variable inequalities Hw: Pg. 118 #8 – 17, 39 – 41, *46.](https://reader036.fdocuments.in/reader036/viewer/2022062408/56649ec55503460f94bcf4bf/html5/thumbnails/6.jpg)
To graph two variable inequalities
Learning Objective
![Page 7: Fri 10/2 Lesson 2 – 8 Learning Objective: To graph two variable inequalities Hw: Pg. 118 #8 – 17, 39 – 41, *46.](https://reader036.fdocuments.in/reader036/viewer/2022062408/56649ec55503460f94bcf4bf/html5/thumbnails/7.jpg)
Linear Inequality – an inequality in two variables (x & y) whose graph is the region of the coordinate plane bounded (stopped) by a line
Boundary – line that bounds the graph of a linear inequality
![Page 8: Fri 10/2 Lesson 2 – 8 Learning Objective: To graph two variable inequalities Hw: Pg. 118 #8 – 17, 39 – 41, *46.](https://reader036.fdocuments.in/reader036/viewer/2022062408/56649ec55503460f94bcf4bf/html5/thumbnails/8.jpg)
Test Point – a point not on the boundary. Use it to check whether the point satisfies the inequality. Usually (0, 0)
If it satisfies the inequality, shade the side of the line containing that point
If it does not satisfy the inequality, shade the other side of the line that does not contain the point.
![Page 9: Fri 10/2 Lesson 2 – 8 Learning Objective: To graph two variable inequalities Hw: Pg. 118 #8 – 17, 39 – 41, *46.](https://reader036.fdocuments.in/reader036/viewer/2022062408/56649ec55503460f94bcf4bf/html5/thumbnails/9.jpg)
1. y > 3x – 1dotted line!
Check (0, 0)0 > 3(0) – 10 > 0 – 10 > -1 TRUE!Shade side with
(0, 0)
Graph Linear Inequality
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2. y -2x + 1solid line!
Check (0, 0)0 -2(0) + 10 0 + 10 + 1 FALSE!Shade side withOUT
(0, 0)
Graph Linear Inequality
![Page 11: Fri 10/2 Lesson 2 – 8 Learning Objective: To graph two variable inequalities Hw: Pg. 118 #8 – 17, 39 – 41, *46.](https://reader036.fdocuments.in/reader036/viewer/2022062408/56649ec55503460f94bcf4bf/html5/thumbnails/11.jpg)
Shade above the liney dottedy solid
Shade below the liney dottedy solid
Trick
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3. y < -x + 3dotted lineShade belowCheck (0, 0)0 < -0 + 30 < 0 + 30 < 3 TRUE!Shade side with
(0, 0)
Graph Linear Inequality
![Page 13: Fri 10/2 Lesson 2 – 8 Learning Objective: To graph two variable inequalities Hw: Pg. 118 #8 – 17, 39 – 41, *46.](https://reader036.fdocuments.in/reader036/viewer/2022062408/56649ec55503460f94bcf4bf/html5/thumbnails/13.jpg)
4. y x +1solid lineShade aboveCheck (0, 0)0 + 10 0 + 10 FALSE!Shade side without
(0, 0)
Graph Linear Inequality
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5. y -2 dotted lineShade below
Check (0, 0)0 < -2 FALSE!Shade side withOUT
(0, 0)
Graph Linear Inequality
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6. x -3 solid line
Check (0, 0)0 -3 TRUE!Shade side with
(0, 0)
Graph Linear Inequality
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7. The equation for the boundary line is x – 3y = 15
x – 3y = 15-x -x-3y = -x + 15 -3 -3 -3
y - 5
Write an inequality for the graph
¿
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8. (0, -4) & (-5, 0)
y
8. Write an inequality for the graph
¿
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8. (0, -2) & (1, 0)
y
9. Write an inequality for the graph
≥
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8. (0, 4) & (3, -3)
y
10. Write an inequality for the graph
¿
![Page 20: Fri 10/2 Lesson 2 – 8 Learning Objective: To graph two variable inequalities Hw: Pg. 118 #8 – 17, 39 – 41, *46.](https://reader036.fdocuments.in/reader036/viewer/2022062408/56649ec55503460f94bcf4bf/html5/thumbnails/20.jpg)
When you graph an inequality, you can often use the point (0, 0) to test which side of the boundary to shade. Describe a situation in which you could not use (0, 0) as a test point.
Ticket Out the Door
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Assignment:
Pg. 118 #8 – 17, 39 – 41, *46