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GeoGebraTarefa

Shifting Exponential Functions

Translate an exponential function and observe its effects on the equation of the parent function.

Tarefa 1

Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

Tarefa 2

A parent exponential function is . Which variable represents the base?

Tarefa 3

Describe the graph of an exponential function when the base is between 0 and 1.

Tarefa 4

Describe the graph of an exponential function when the base is greater than 1.

Tarefa 5

Which variable represents the horizontal shift?

Tarefa 6

Which variable represents the vertical shift?

Tarefa 7

A number is subtracted from the exponent. Which direction does the function shift? Which direction does the function shift when a number is added to the exponent?

Tarefa 8

A number is added to the equation of the function. Which direction does the function shift? Which direction does the function shift when a number is subtracted from the equation?