Question

3) The red graph (1) is the graph of f(x) = 2^x. Describe the transformation of the blue function (2) and write the equation of the graph.

Answer 1

The blue graph is -log(x) - 3.

Explanation:

First a reflection in the x -axis to give f(x) = - log (x).

Then a translation down of 3 units to give -log(x) - 3.