Shifting Exponential Functions

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GR. 9-12

Habilidad:

Identify transformations on nonlinear parent functions using function notation, algebraic equations, or graphs.

Shifting Exponential Functions

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

Putting It All Together

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

Pregunta abierta 1

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

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Pregunta abierta 2

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

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Pregunta abierta 3

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

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Pregunta abierta 4

Which variable represents the horizontal shift?

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Pregunta abierta 5

Which variable represents the vertical shift?

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Pregunta abierta 6

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?

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Pregunta abierta 7

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?

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