Shifting Exponential Functions
Skill:
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.
Offene Frage 1
A parent exponential function is . Which variable represents the base?
Eingabe von Text und mathematischen Symbolen
Offene Frage 2
Describe the graph of an exponential function when the base is between 0 and 1.
Eingabe von Text und mathematischen Symbolen
Offene Frage 3
Describe the graph of an exponential function when the base is greater than 1.
Eingabe von Text und mathematischen Symbolen
Offene Frage 4
Which variable represents the horizontal shift?
Eingabe von Text und mathematischen Symbolen
Offene Frage 5
Which variable represents the vertical shift?
Eingabe von Text und mathematischen Symbolen
Offene Frage 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?
Eingabe von Text und mathematischen Symbolen
Offene Frage 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?
Eingabe von Text und mathematischen Symbolen