Shifting Exponential Functions
Skill:
Identify transformations on nonlinear parent functions using function notation, algebraic equations, or graphs.
Verified resource
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.
Otevřená otázka 1
A parent exponential function is . Which variable represents the base?
Textový a matematický vstup
Otevřená otázka 2
Describe the graph of an exponential function when the base is between 0 and 1.
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Otevřená otázka 3
Describe the graph of an exponential function when the base is greater than 1.
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Otevřená otázka 4
Which variable represents the horizontal shift?
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Otevřená otázka 5
Which variable represents the vertical shift?
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Otevřená otázka 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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Otevřená otázka 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?
Textový a matematický vstup