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

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

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

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

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) = __________________________

Guided Practice Given the transformation, write the equation

Homework Finish Guided Notes Problems!

Independent Practice

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.