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Tuesday, November 12 th. Warm-Up. F(x)=4x + 8 G(x)=2x²-4 Find (f-g)(x) Find ( g•f )(x). September 27 th. Species Project. WAY TO GO!!!!!!. Unit 5. Transformations Linear transformations-shifts, compressions, and Stretches Exponential Transformation-Shifts, compressions, and stretches - PowerPoint PPT Presentation
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September 27th
F(x)=4x + 8G(x)=2x²-4
1. Find (f-g)(x)2. Find (g•f)(x)
Warm-Up
Tuesday, November 12th
Species Project
WAY TO GO!!!!!!
Unit 5 Transformations
1. Linear transformations-shifts, compressions, and Stretches
2. Exponential Transformation-Shifts, compressions, and stretches
3. Characteristics of graphs-domain, range, end behavior, asymptotes, x and y intercepts, Increasing and Decreasing, local max and local min
Important Dates
Tuesday, November 19th-Quiz on Linear Transformations
Friday, December 6th-TEST #6 LAST TEST OF THE SEMESTER
Graphing Transformations
Part 1: Translating Points
Discovery Activity
Step 1 •Draw a x and y axis on your
graph paper •Separate your M & M’s into
colored groups
Discovery Activity
Step 2 1. Place an orange M & M on (-
4, 5)
Shift the M & M up 4 units. And put a different orange M and M/
What is the new point?
Discovery Activity
Step 3 1. Place a red M & M on (3, 4)
Shift the M & M down 5 units. Place a different red m and m at this point What is the new point?
Discovery Activity
Step 4 1. Place a green M & M on (1, -
3)
Shift the M & M up 2 units. Place a new green M and M at the new point. What is the new point?
Discussion Question #1
When you shift the M & M up or down, what
changes in your ordered pair??!
Discovery Activity
Step 1 1. Place a
green M & M on (-2, 5)
Shift the M & M left 4 units. What is the new point?
Discovery Activity
Step 2 1. Place a
gred M & M on (3, -3)
Shift the M & M left 3 units. What is the new point?
Discovery Activity
Step 3 1. Place an
organe M & M on (1,5)
Shift the M & M right 4 units. What is the new point?
Discussion Question #2
When you shift the M & M right or left, what
changes?!
Part 2: Translating Equations
Y = x Step 1: Fill in the table
Step 2: Graph with greenx y-5
-3
-1
1
3
5
7
Step 3: Shift graphup 4 units-red
x y-5
-3
-1
1
3
5
7
Step 4: Shift graphDown 4 units-brown
x y-3
-2
-1
0
1
2
3
Discussion Questions
1. Did the slope change between your three graphs? 2. Did the y-intercept change between your three
graphs?3. Did you x’s or y’s change when you made a shift
up or down 4. How would you write the following new equations
g(x) compared to f(x) in green F(x)=x
a. Shift up 4 units b. Shift down 4 units
Y = x Step 1: Shift graphLeft 4 units
x y-3
-2
-1
0
1
2
3
Step 2: Shift graph right 4 units
x y
-3
-2
-1
0
1
2
3
Discussion Questions
1. Did the slope change between your three graphs?
2. Did the y-intercept change between your three graphs?
3. Did you x’s or y’s change when you made a shift up or down
4. How would you write the following new equations g(x) compared to f(x) in green
F(x)=x a. Shift up 4 units b. Shift down 4 units