1. Transformations of Functions
Transforming a function is when we change the SHAPE, DIRECTION or POSITION of a function’s graph by manipulating its equation.

2. Vertical or Horizontal shift Vertical Stretch or Shrink
Types of Transformations
Vertical or Horizontal shift
Vertical Stretch or Shrink
Reflection
Add outside
Multiply by Fraction (less than 1)
Multiply by negative (-)
MOVES GRAPH UP 3
Causes the graph to FLIP OVER THE X AXIS
Causes the graph to STRETCH OUT by 4
Subtract outside
MOVES GRAPH DOWN 3
Multiply by integer
Add inside
Causes the graph to
SHRINK BY 4
MOVES GRAPH LEFT 3
Subtract inside
MOVES GRAPH RIGHT 3

3. Example 1: Describe the transformation(s) that has taken place to the original function.  

4. Guided Practice
Let’s try #’s 1 and 2 together! Work on the rest with your shoulder partner!

5. Example 2: Given the transformation, write the equation of the new function.
An exponential with a base of 2 that: stretches by 3, moves left 3, and down 2 f(x) = __________________________

6. Guided Practice
Given the transformation, write the equation

7. Homework
Finish Guided Notes Problems!

8. Independent Practice

9. Exit Ticket Identify the transformations taking place: f(x) = 3x-1
2. Write an exponential function that has been moved RIGHT 2 units, UP 4 units and has been reflected over the Y AXIS.