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September 27 th

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

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September 27 th

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  1. Tuesday, November 12th Warm-Up F(x)=4x + 8 G(x)=2x²-4 Find (f-g)(x) Find (g•f)(x) September 27th

  2. Species Project WAY TO GO!!!!!!

  3. Unit 5 Transformations • Linear transformations-shifts, compressions, and Stretches • Exponential Transformation-Shifts, compressions, and stretches • Characteristics of graphs-domain, range, end behavior, asymptotes, x and y intercepts, Increasing and Decreasing, local max and local min

  4. Important Dates Tuesday, November 19th-Quiz on Linear Transformations Friday, December 6th-TEST #6 LAST TEST OF THE SEMESTER

  5. Graphing Transformations

  6. Part 1: Translating Points

  7. Discovery Activity Step 1 • Draw a x and y axis on your graph paper • Separate your M & M’s into colored groups

  8. Discovery Activity Step 2 • 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?

  9. Discovery Activity Step 3 • 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?

  10. Discovery Activity Step 4 • 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?

  11. Discussion Question #1 When you shift the M & M up or down, what changes in your ordered pair??!

  12. Discovery Activity Step 1 • Place a green M & M on (-2, 5) Shift the M & M left 4 units. What is the new point?

  13. Discovery Activity Step 2 • Place a gred M & M on (3, -3) Shift the M & M left 3 units. What is the new point?

  14. Discovery Activity Step 3 • Place an organe M & M on (1,5) Shift the M & M right 4 units. What is the new point?

  15. Discussion Question #2 When you shift the M & M right or left, what changes?!

  16. Part 2: Translating Equations

  17. Y = x Step 1: Fill in the table Step 2: Graph with green

  18. Step 3: Shift graph up 4 units-red

  19. Step 4: Shift graph Down 4 units-brown

  20. Discussion Questions • Did the slope change between your three graphs? • Did the y-intercept change between your three graphs? • Did you x’s or y’s change when you made a shift up or down • How would you write the following new equations g(x) compared to f(x) in green F(x)=x • Shift up 4 units • Shift down 4 units

  21. Y = x Step 1: Shift graph Left 4 units

  22. Step 2: Shift graph right 4 units

  23. Discussion Questions • Did the slope change between your three graphs? • Did the y-intercept change between your three graphs? • Did you x’s or y’s change when you made a shift up or down • How would you write the following new equations g(x) compared to f(x) in green F(x)=x • Shift up 4 units • Shift down 4 units

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