6.4c Transformations of Logarithmic functions

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Presentation transcript:

6.4c Transformations of Logarithmic functions Rita Korsunsky

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.

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

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

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