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.
A parent exponential function is . Which variable represents the base?
Describe the graph of an exponential function when the base is between 0 and 1.
Describe the graph of an exponential function when the base is greater than 1.
Which variable represents the horizontal shift?
Which variable represents the vertical shift?
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?
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?