SOLUTION: Which answer describes the transformation of f(x) = log2(x-5)-2 from the parent function g(x)= log2 x? The equation and answer choices are in the link here: https://prnt.sc/le3y

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Which answer describes the transformation of f(x) = log2(x-5)-2 from the parent function g(x)= log2 x? The equation and answer choices are in the link here: https://prnt.sc/le3y      Log On


   

Question 1127953: Which answer describes the transformation of f(x) = log2(x-5)-2 from the parent function g(x)= log2 x?
The equation and answer choices are in the link here: https://prnt.sc/le3ydl

A. It is the graph of g(x) shifted 2 units left and 5 units down.
B. It is the graph of g(x) shifted 5 units left and 2 units down.
C. It is the graph of g(x) shifted 5 units right and 2 units down.
D. It is the graph of g(x) shifted 2 units right and 5 units down.

Is my answer correct? C?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

g%28x%29=+log%282+%2Cx%29 ->transformed to f%28x%29+=+log%282%28x-5%29-2%29
recall:
f%28x%29+=+log%282%2Cx%2Bc%29%2Bd
c-> horizontal shift c units in the opposite direction of the sign on+c
c%3E0->horizontal shift left
c%3C0->horizontal shift right
d->shift up (d%3E0) or shift down (d%3C0)
you have:
c=-5->horizontal shift 5 units right
d=-2->shift 2 down

so, answer is: C.