1. 6.4c Transformations of Logarithmic functions
Rita Korsunsky

2. Transformations Transformation f(x) Notation Examples
Horizontal Translation
Graph shifts left or right.
Vertical Translation
Graph shifts up or down.
Reflection
Graph flips over x-axis.
Graph flips over y-axis.
Horizontal Shrink
Graph shrinks toward y-axis.
Horizontal Stretch
Graph stretches away from y-axis.
Vertical Stretch or Shrink
Graph stretches away from x-axis.
Vertical Shrink
Graph shrinks toward x-axis.

3. Example 1
Reflect across y-axis } a
Stretch by factor of 3

4. Example 2 } a
Reflect across x-axis
Shrink by factor of 1/2

5. Example 3 } a Reflect across y-axis Reflect across x-axis
Stretch by factor of 4