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7/9/2013
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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”?
Yesterday’s Quiz Results
Transformations7/9/2013
Why graph?
Why does the coordinate plane exist?
Units of Distance Origin Orientation of Axes
Graphs of Parent Functions
More Parent Functions
AUTOBOTS, ROLL OUT
http://www.youtube.com/watch?v=iXuKUy-J4qM
That means get your calculators ready.
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
Vertical Shifts
Vertical Shifts
Vertical Shifts
Use the graph of to obtain the graph of .
1) Begin with the graph of 2) Subtract 4 from each y-coordinate.
Vertical Shifts
Use the graph of to obtain the graph of
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
Horizontal Shifts
Horizontal Shifts
Vertical Shifts
Use the graph of to obtain the graph of
1) Begin with the graph of
Vertical Shifts
Use the graph of to obtain the graph of
Check Yourself
What is the difference between the following?
AT THE SAME TIME!!!
Use the graph of to obtain the graph of .
Use the graph of to obtain the graph of
Practice
P. 266 #1-6 #17-22 #33-36 #45-46
Reflections
Outside of math, what is a reflection?
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
Reflection Over X-Axis
Reflection Over X-Axis
Use the graph of to obtain the graph of .
Reflection Over X-Axis
Use the graph of to obtain the graph of
Reflection Over X-Axis
Use the graph of to obtain the graph of
Check Yourself
What is the difference between and
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
Vertical Stretching/Shrinking
Vertical Stretching/Shrinking
Horizontal Stretching/Shrinking
Horizontal Stretching/Shrinking
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
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
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
SO MUCH PRACTICE
P. 266-267 1-118 odd Graph Every 3rd Problem P. 269 #147-148
Harkness Discussion
Exit Slip Quiz
Good luck!