Shifting Exponential Functions
Translate an exponential function and observe its effects on the equation of the parent function.
Tâche 1
Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
Tâche 2
A parent exponential function is . Which variable represents the base?
Tâche 3
Describe the graph of an exponential function when the base is between 0 and 1.
Tâche 4
Describe the graph of an exponential function when the base is greater than 1.
Tâche 5
Which variable represents the horizontal shift?
Tâche 6
Which variable represents the vertical shift?
Tâche 7
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?
Tâche 8
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?