Use the drop down menus to describe the transformations of the parent function f(x)=log3x that result in the function g(x) = 13log3(x−4) (2 points) The multiplier 13 , results in a by the factor 13 . The minus 4 inside the parentheses shifts the graph 4 units.

1 answer

To describe the transformations of the parent function \( f(x) = \log_3 x \) that result in the function \( g(x) = 13\log_3(x-4) \):

  1. The multiplier \( 13 \) results in a vertical stretch by the factor of 13.
  2. The minus \( 4 \) inside the parentheses shifts the graph 4 units to the right.

So the completed sentences are:

The multiplier \( 13 \) results in a vertical stretch by the factor of \( 13 \). The minus \( 4 \) inside the parentheses shifts the graph 4 units to the right.