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Concept

Vertical Stretch and Shrink of a Function

The graph of a function can be vertically stretched or shrunk by multiplying the function rule by a positive number
The vertical distance between the graph and the axis will then change by the factor at every point on the graph. If this will lead to the graph being stretched vertically. Similarly, leads to the graph being shrunk vertically. Note that intercepts have the function value Therefore, they are not affected by this transformation.
Stretching and Shrinking of a Graph Vertically
The general form of this transformation is shown in the table.
Transformations of
Vertical Stretch or Shrink Vertical stretch,
Vertical shrink,