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+9) + 4. Please answer asap. Please only write the right answer (":

Answer 1

Explanation:

f(x) = log(x), to achieve the graph of g(x) = log(-3x+9) + 4

factor out the -3 inside the parenthesis

g(x) = log(-3(x-3)) + 4

the +4 shifts the graph up 4 units

-3 inside the parenthesis moves it to the right units

3 compresses it by a factor of 3 in the x direction

- by the 3 on the outside of the reflects it about the y axis