Draw a coordinate plane.

Graph the functions , , and on same window.

Observe the graph :

To obtain the graph , compress the graph  vertically by a factor of units.

To obtain the graph , compress the graph vertically by a factor of units.

To obtain the graph , stretch the graph vertically by a factor of units.

Pattern :

Each graph is that of  , but shifted vertically.

If the graph compresses units

If the graph stretches units.

Predictions :

To obtain the graph , compress the graph vertically by a factor of units.

To obtain the graph , stretch the graph vertically by a factor of units. 

Pattern :

Each graph is that of  , but shifted vertically.

If the graph compresses units

If the graph stretches units.

Predictions :

To obtain the graph , compress the graph vertically by a factor of units.

To obtain the graph , stretch the graph vertically by a factor of units. 

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