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