Question

In two or more complete sentences, describe the transformation(s) that take place on the parent function, f(x) = log(x), to achieve the graph of g(x) = log(-3x-6) - 2.

Answer 1

Logarithmic functions are the inverses of exponential functions.The logarithmic function y=loga(x)  is called the logarithmic function with base a .
When a constant c is added to the input of the parent function f(x)=loga(x), the result is a horizontal shift c units in the opposite direction of the sign on c. Our function is shifted 3 units to the right.
It is shifted 2 units vertical.(2 units down).