1. Investigation Reflection
Post the picture of the graph that was the easiest to make a conjecture.
Write the conjecture (in a complete sentence) and explain why this is the easiest.
Post the picture of the graph that was the hardest to make a conjecture.
Write the conjecture (in a complete sentence) and explain why this is the hardest.
What was one misconception that you had during this investigation?
How were you about to overcome this misconception?

2. Exponential Transformations
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Objective: Students will be able to transform exponential functions.
Essential Question: How do you determine transformations from a graph? How do you determine transformations from an equation?
Lesson
Parent function: f(x) = 2x
Add to the function Subtract from the function f(x) = 2x + 4: f(x) = 2x – 4:
Parent function: f(x) = 2x
Add to the x-value Subtract from the x-value
f(x) = 2x f(x) = 2x-4

3. Parent function: f(x) = 2x Vertical Stretch and Compression
Objective: Students will be able to transform exponential functions.
Essential Question: How do you determine transformations from a graph? How do you determine transformations from an equation?
Parent function: f(x) = 2x
Vertical Stretch and Compression
Coefficient of function < Coefficient of function > 1
f(x) = 2x : f(x) = 3 2x :
Parent function: f(x) = 2x
Horizontal Stretch and Compression
Coefficient of x value < Coefficient of x value > 1
f(x) = : f(x) = :

4. Parent function: f(x) = 2x
Objective: Students will be able to transform exponential functions.
Essential Question: How do you determine transformations from a graph? How do you determine transformations from an equation?
Parent function: f(x) = 2x
Multiply the function by Multiply the x value by - 1
f(x) = - 2x : f(x) = 2-x :

5. Determine the parent function and describe the transformations.
Objective: Students will be able to transform exponential functions.
Essential Question: How do you determine transformations from a graph? How do you determine transformations from an equation?
Homework
Determine the parent function and describe the transformations.
1) f(x) = - 3x+1
Reflection across the x axis
Shift 1 unit left

6. Determine the parent function and describe the transformations.
Objective: Students will be able to transform exponential functions.
Essential Question: How do you determine transformations from a graph? How do you determine transformations from an equation?
Homework
Determine the parent function and describe the transformations.
2) f(x) = 5-x + 2
Reflections across the y axis
Shift 2 units up

7. Determine the parent function and describe the transformations.
Objective: Students will be able to transform exponential functions.
Essential Question: How do you determine transformations from a graph? How do you determine transformations from an equation?
Homework
Determine the parent function and describe the transformations.
3) f(x) = 4x-1 – 6
Shift down 6 units
Shift right 1 unit

8. Determine the parent function and describe the transformations.
Objective: Students will be able to transform exponential functions.
Essential Question: How do you determine transformations from a graph? How do you determine transformations from an equation?
Homework
Determine the parent function and describe the transformations.
4) f(x) = - 7x + 5
Reflection across the x axis
Moves up 5 units

9. Reflection across the y axis Vertical stretch of 4
Objective: Students will be able to transform exponential functions.
Essential Question: How do you determine transformations from a graph? How do you determine transformations from an equation?
Write the exponential function when all of the following transformations are applied to the parent function f(x) = 3x.
Reflection across the y axis
Vertical stretch of 4
Translates left 6 units
Vertical shift up 12 units