Draw a coordinate plane.

Graph the functions , , and on same window.

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Observe the graph :

To obtain the graph  , translate the the graphof  vertically up units.

To obtain the graph  , translate the the graph of vertically up units.

To obtain the graph , translate the the graph of vertically down units.

Pattern :

Each graph is that of  , but translated vertically.

If  , the translation is up  units. If  , the translation is down units.

Predictions :

To obtain the graph , translate the graph vertically down units.

To obtain the graph , translate the graph vertically up units.

Pattern :

Each graph is that of  , but translated vertically.

If  , the translation is up  units.

If  , the translation is down units.

Predections :

To obtain the graph , translate the graph vertically down units.

To obtain the graph , translate the graph vertically up units.

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