Module 6: Exponents and Logarithms

 

Try This 3

 

You will now explore graphing logarithmic functions using transformations.

  1. 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
  2. In your table, indicate the corresponding transformations for each parameter.
  3. Sketch the function y = log10 x.
  4. Apply the transformations described in the table to the sketch of y = log10x to sketch the graph of y = log10(x − 3) + 4.
  5. Graph y = log10(x − 3) + 4 using technology, and then compare this to the sketch you created in question 4.

course folder Save your responses in your course folder.

4
3
There is a vertical translation of 4 units up.
There is a horizontal translation of 3 units right.