Graphing transformations of exponential functions
Examples
Lessons
- Horizontal Translation of an Exponential Function
Sketch and compare the graphs of the exponential function and
i)
ii)
Did the transformation affect the horizontal asymptote? - Vertical Translation of an Exponential Function
Sketch and compare the graphs of the exponential function and
i)
ii)
Did the transformation affect the horizontal asymptote? - Expansion/Compression of an Exponential Function
Sketch and compare the graphs of the exponential function and
i) and
ii) and - Reflection of an Exponential Function
Sketch and compare the graphs of the exponential function and
i)
ii) - Multiple Transformation
Compare to ,
i) Describe the transformations involved in .
ii) Sketch both exponential functions on the same graph.
iii) For , state its
- asymptote
- domain
- range
- x-intercept
- y-intercept - Compare to ,
i) Describe the transformations involved in .
ii) Sketch both exponential functions on the same graph.
iii) For , state its
- asymptote
- domain
- range
- x-intercept
- y-intercept