1) why is the origin the most important point on every graph? 2) what are three different ways you...
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7/9/2013TRANSCRIPT
![Page 1: 1) Why is the origin the most important point on every graph? 2) What are THREE different ways you can get from the origin to point “P”?](https://reader035.vdocuments.us/reader035/viewer/2022081605/5a4d1b2f7f8b9ab05999a9a3/html5/thumbnails/1.jpg)
Do Now
1) Why is the origin the most important point on every graph?
2) What are THREE different ways you can get from the origin to point “P”?
![Page 2: 1) Why is the origin the most important point on every graph? 2) What are THREE different ways you can get from the origin to point “P”?](https://reader035.vdocuments.us/reader035/viewer/2022081605/5a4d1b2f7f8b9ab05999a9a3/html5/thumbnails/2.jpg)
Yesterday’s Quiz Results
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Transformations7/9/2013
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Why graph?
Why does the coordinate plane exist?
Units of Distance Origin Orientation of Axes
![Page 5: 1) Why is the origin the most important point on every graph? 2) What are THREE different ways you can get from the origin to point “P”?](https://reader035.vdocuments.us/reader035/viewer/2022081605/5a4d1b2f7f8b9ab05999a9a3/html5/thumbnails/5.jpg)
Graphs of Parent Functions
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More Parent Functions
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AUTOBOTS, ROLL OUT
http://www.youtube.com/watch?v=iXuKUy-J4qM
That means get your calculators ready.
![Page 8: 1) Why is the origin the most important point on every graph? 2) What are THREE different ways you can get from the origin to point “P”?](https://reader035.vdocuments.us/reader035/viewer/2022081605/5a4d1b2f7f8b9ab05999a9a3/html5/thumbnails/8.jpg)
Vertical Shifts One at a time, graph the following by making a
table from -2 to 2, then graph in your calculator.
What effect does each have on the graph of f(x)?
x f(x)-2-1012
![Page 9: 1) Why is the origin the most important point on every graph? 2) What are THREE different ways you can get from the origin to point “P”?](https://reader035.vdocuments.us/reader035/viewer/2022081605/5a4d1b2f7f8b9ab05999a9a3/html5/thumbnails/9.jpg)
Vertical Shifts
![Page 10: 1) Why is the origin the most important point on every graph? 2) What are THREE different ways you can get from the origin to point “P”?](https://reader035.vdocuments.us/reader035/viewer/2022081605/5a4d1b2f7f8b9ab05999a9a3/html5/thumbnails/10.jpg)
Vertical Shifts
![Page 11: 1) Why is the origin the most important point on every graph? 2) What are THREE different ways you can get from the origin to point “P”?](https://reader035.vdocuments.us/reader035/viewer/2022081605/5a4d1b2f7f8b9ab05999a9a3/html5/thumbnails/11.jpg)
Vertical Shifts
Use the graph of to obtain the graph of .
1) Begin with the graph of 2) Subtract 4 from each y-coordinate.
![Page 12: 1) Why is the origin the most important point on every graph? 2) What are THREE different ways you can get from the origin to point “P”?](https://reader035.vdocuments.us/reader035/viewer/2022081605/5a4d1b2f7f8b9ab05999a9a3/html5/thumbnails/12.jpg)
Vertical Shifts
Use the graph of to obtain the graph of
![Page 13: 1) Why is the origin the most important point on every graph? 2) What are THREE different ways you can get from the origin to point “P”?](https://reader035.vdocuments.us/reader035/viewer/2022081605/5a4d1b2f7f8b9ab05999a9a3/html5/thumbnails/13.jpg)
Horizontal Shifts One at a time, graph the following by making a
table from -2 to 2, then graph in your calculator.
What effect does each have on the graph of f(x)?
x f(x)-2-1012
![Page 14: 1) Why is the origin the most important point on every graph? 2) What are THREE different ways you can get from the origin to point “P”?](https://reader035.vdocuments.us/reader035/viewer/2022081605/5a4d1b2f7f8b9ab05999a9a3/html5/thumbnails/14.jpg)
Horizontal Shifts
![Page 15: 1) Why is the origin the most important point on every graph? 2) What are THREE different ways you can get from the origin to point “P”?](https://reader035.vdocuments.us/reader035/viewer/2022081605/5a4d1b2f7f8b9ab05999a9a3/html5/thumbnails/15.jpg)
Horizontal Shifts
![Page 16: 1) Why is the origin the most important point on every graph? 2) What are THREE different ways you can get from the origin to point “P”?](https://reader035.vdocuments.us/reader035/viewer/2022081605/5a4d1b2f7f8b9ab05999a9a3/html5/thumbnails/16.jpg)
Vertical Shifts
Use the graph of to obtain the graph of
1) Begin with the graph of
![Page 17: 1) Why is the origin the most important point on every graph? 2) What are THREE different ways you can get from the origin to point “P”?](https://reader035.vdocuments.us/reader035/viewer/2022081605/5a4d1b2f7f8b9ab05999a9a3/html5/thumbnails/17.jpg)
Vertical Shifts
Use the graph of to obtain the graph of
![Page 18: 1) Why is the origin the most important point on every graph? 2) What are THREE different ways you can get from the origin to point “P”?](https://reader035.vdocuments.us/reader035/viewer/2022081605/5a4d1b2f7f8b9ab05999a9a3/html5/thumbnails/18.jpg)
Check Yourself
What is the difference between the following?
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AT THE SAME TIME!!!
Use the graph of to obtain the graph of .
Use the graph of to obtain the graph of
![Page 20: 1) Why is the origin the most important point on every graph? 2) What are THREE different ways you can get from the origin to point “P”?](https://reader035.vdocuments.us/reader035/viewer/2022081605/5a4d1b2f7f8b9ab05999a9a3/html5/thumbnails/20.jpg)
Practice
P. 266 #1-6 #17-22 #33-36 #45-46
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Reflections
Outside of math, what is a reflection?
![Page 22: 1) Why is the origin the most important point on every graph? 2) What are THREE different ways you can get from the origin to point “P”?](https://reader035.vdocuments.us/reader035/viewer/2022081605/5a4d1b2f7f8b9ab05999a9a3/html5/thumbnails/22.jpg)
Reflection Over X-Axis One at a time, graph the following by making a
table from -2 to 2, then graph in your calculator.
What effect does this have on the graph of f(x)?
x f(x)-2-1012
![Page 23: 1) Why is the origin the most important point on every graph? 2) What are THREE different ways you can get from the origin to point “P”?](https://reader035.vdocuments.us/reader035/viewer/2022081605/5a4d1b2f7f8b9ab05999a9a3/html5/thumbnails/23.jpg)
Reflection Over X-Axis
![Page 24: 1) Why is the origin the most important point on every graph? 2) What are THREE different ways you can get from the origin to point “P”?](https://reader035.vdocuments.us/reader035/viewer/2022081605/5a4d1b2f7f8b9ab05999a9a3/html5/thumbnails/24.jpg)
Reflection Over X-Axis
Use the graph of to obtain the graph of .
![Page 25: 1) Why is the origin the most important point on every graph? 2) What are THREE different ways you can get from the origin to point “P”?](https://reader035.vdocuments.us/reader035/viewer/2022081605/5a4d1b2f7f8b9ab05999a9a3/html5/thumbnails/25.jpg)
Reflection Over X-Axis
Use the graph of to obtain the graph of
![Page 26: 1) Why is the origin the most important point on every graph? 2) What are THREE different ways you can get from the origin to point “P”?](https://reader035.vdocuments.us/reader035/viewer/2022081605/5a4d1b2f7f8b9ab05999a9a3/html5/thumbnails/26.jpg)
Reflection Over X-Axis
Use the graph of to obtain the graph of
![Page 27: 1) Why is the origin the most important point on every graph? 2) What are THREE different ways you can get from the origin to point “P”?](https://reader035.vdocuments.us/reader035/viewer/2022081605/5a4d1b2f7f8b9ab05999a9a3/html5/thumbnails/27.jpg)
Check Yourself
What is the difference between and
![Page 28: 1) Why is the origin the most important point on every graph? 2) What are THREE different ways you can get from the origin to point “P”?](https://reader035.vdocuments.us/reader035/viewer/2022081605/5a4d1b2f7f8b9ab05999a9a3/html5/thumbnails/28.jpg)
Vertical Stretching/Shrinking
One at a time, graph the following by making a table from -2 to 2, then graph in your calculator.
What effect does each have on the graph of f(x)?
x f(x)-2-1012
![Page 29: 1) Why is the origin the most important point on every graph? 2) What are THREE different ways you can get from the origin to point “P”?](https://reader035.vdocuments.us/reader035/viewer/2022081605/5a4d1b2f7f8b9ab05999a9a3/html5/thumbnails/29.jpg)
Vertical Stretching/Shrinking
![Page 30: 1) Why is the origin the most important point on every graph? 2) What are THREE different ways you can get from the origin to point “P”?](https://reader035.vdocuments.us/reader035/viewer/2022081605/5a4d1b2f7f8b9ab05999a9a3/html5/thumbnails/30.jpg)
Vertical Stretching/Shrinking
![Page 31: 1) Why is the origin the most important point on every graph? 2) What are THREE different ways you can get from the origin to point “P”?](https://reader035.vdocuments.us/reader035/viewer/2022081605/5a4d1b2f7f8b9ab05999a9a3/html5/thumbnails/31.jpg)
Horizontal Stretching/Shrinking
![Page 32: 1) Why is the origin the most important point on every graph? 2) What are THREE different ways you can get from the origin to point “P”?](https://reader035.vdocuments.us/reader035/viewer/2022081605/5a4d1b2f7f8b9ab05999a9a3/html5/thumbnails/32.jpg)
Horizontal Stretching/Shrinking
![Page 33: 1) Why is the origin the most important point on every graph? 2) What are THREE different ways you can get from the origin to point “P”?](https://reader035.vdocuments.us/reader035/viewer/2022081605/5a4d1b2f7f8b9ab05999a9a3/html5/thumbnails/33.jpg)
Putting It All Together
Write an equation for the following graph:
Parent Function: Linear Reflection over x-axis Vertical Shrink of ½ Horizontal Shift 1 to the right Vertical Shift 3 up
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Putting It All Together
Write an equation for the following graph:
Parent Function: Quadratic Vertical Stretch of 2 Horizontal Shift 3 to the left Vertical Shift 7 down
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Putting It All Together
Write an equation for the following graph:
Parent Function: Cube Root Reflection over x-axis Vertical Stretch of 4 Vertical Shift 1 up
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SO MUCH PRACTICE
P. 266-267 1-118 odd Graph Every 3rd Problem P. 269 #147-148
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Harkness Discussion
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Exit Slip Quiz
Good luck!