6.4a Transformations of Exponential Functions bee
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 Stretch Graph stretches away from y-axis. Horizontal Shrink Graph shrinks toward y-axis. Vertical Stretch or Shrink Graph stretches away from x-axis. Vertical Shrink Graph shrinks toward x-axis.
Example 1 4 units 4 units 4 units
Example 2 3 units 2 units 2 units
Example 3 Shrink by factor of one-eighth Reflect across x-axis