Draw a coordinate plane.

Graph the functions , , and on same window.

Observe the graph :

To obtain the graph , shift the graph horizontally right units.

To obtain the graph , shift the graph horizontally right units.

To obtain the graph , shift the graph horizontally left units.

Pattern :

Each graph is that of  , but shifted horizontally.

If , the shift is right units. If , the shift is left units.

Predictions :

To obtain the graph , shift the graph horizontally left units.

To obtain the graph , shift the graph horizontally right units.

Pattern :

Each graph is that of  , but shifted horizontally.

If , the shift is right units. If , the shift is left units.

Predictions :

To obtain the graph , shift the graph horizontally left units.

To obtain the graph , shift the graph horizontally right units.

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