1) Why is the origin the most important point on every graph? 2) What are THREE different ways you...

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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!