Shifting Exponential Functions
Skill:
Identify transformations on nonlinear parent functions using function notation, algebraic equations, or graphs.
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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.
Open-ended question 1
A parent exponential function is . Which variable represents the base?
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Open-ended question 2
Describe the graph of an exponential function when the base is between 0 and 1.
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Open-ended question 3
Describe the graph of an exponential function when the base is greater than 1.
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Open-ended question 4
Which variable represents the horizontal shift?
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Open-ended question 5
Which variable represents the vertical shift?
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Open-ended question 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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Open-ended question 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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Prerequisite Resources
More from Transformations on Nonlinear Parent Functions
