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.
Open-ended question 1
A parent exponential function is . Which variable represents the base?
Text and math input
Open-ended question 2
Describe the graph of an exponential function when the base is between 0 and 1.
Text and math input
Open-ended question 3
Describe the graph of an exponential function when the base is greater than 1.
Text and math input
Open-ended question 4
Which variable represents the horizontal shift?
Text and math input
Open-ended question 5
Which variable represents the vertical shift?
Text and math input
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?
Text and math input
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?
Text and math input
Explore more
Prerequisite Resources
More from Transformations on Nonlinear Parent Functions
