Try This 3
You will now explore graphing logarithmic functions using transformations.
- In a table similar to the one shown, identify each parameter for the function y = log10(x − 3) + 4 when in the form
Parameter |
Value of Parameter |
Description of Transformation |
a |
1 |
no transformation |
b |
1 |
no transformation |
h |
|
|
k |
|
|
- In your table, indicate the corresponding transformations for each parameter.
- Sketch the function y = log10 x.
- Apply the transformations described in the table to the sketch of y = log10x to sketch the graph of y = log10(x − 3) + 4.
- Graph y = log10(x − 3) + 4 using technology, and then compare this to the sketch you created in question 4.
Save your responses in your course folder.
There is a vertical translation of 4 units up.
There is a horizontal translation of 3 units right.