Lesson #7: Transformed Logarithmic Functions
Learning Target
RF4.2a: I can describe the transformations applied to the graph of a logarithmic function.
RF4.2b: I can sketch the graph of a transformed logarithmic function by applying a set of transformations to
the graph of the parent function.
RF4.2c: I can state the characteristics of a transformed logarithmic function.
RF4.2b: I can sketch the graph of a transformed logarithmic function by applying a set of transformations to
the graph of the parent function.
RF4.2c: I can state the characteristics of a transformed logarithmic function.
Notes
I chose the following link because it shows "lovely" graphs of transformed logarithmic functions (including asymptotes). You are expected to graph transformed logarithmic functions using mapping rules. (See the solution to formative assessment below.)
https://courses.lumenlearning.com/ivytech-collegealgebra/chapter/graphing-transformations-of-logarithmic-functions/
https://courses.lumenlearning.com/ivytech-collegealgebra/chapter/graphing-transformations-of-logarithmic-functions/
Videos
Note: It is expected that when you graph a logarithmic function, you will draw and label the vertical asymptote
as well. (To label the vertical asymptote, writing its equation next to the line.)
as well. (To label the vertical asymptote, writing its equation next to the line.)
The following video shows how to determine the equation of the vertical asymptote. Please note the
equation of the vertical asymptote is x = h. Therefore, if you can identify the value of h, or the horizontal translation, you will be able to state the equation of the vertical asymptote of any transformed logarithmic function.
equation of the vertical asymptote is x = h. Therefore, if you can identify the value of h, or the horizontal translation, you will be able to state the equation of the vertical asymptote of any transformed logarithmic function.
Textbook (Notes and Examples)
Page 384 - 385 Examples 1 and 2
Note: Not sure why, but for Example 2 instead of using one mapping rule containing all of the transformations,
each transformation was assigned its own mapping rule.
Note: Not sure why, but for Example 2 instead of using one mapping rule containing all of the transformations,
each transformation was assigned its own mapping rule.
Practice Questions
Textbook: pg. 389 - 390, Questions 1, 5 b, c, d, 7
Formative Assessment
fa_16_-_transformations_of_logarithmic_functions.pdf | |
File Size: | 21 kb |
File Type: |
Please submit your FA for feedback.