SOLUTION: Describe the transformation of f(x) represented by g(x). Then graph the function f(x) = log 1/2 x and g(x) = 2 log 1/2 (x + 4)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Describe the transformation of f(x) represented by g(x). Then graph the function f(x) = log 1/2 x and g(x) = 2 log 1/2 (x + 4)      Log On


   



Question 1154415: Describe the transformation of f(x) represented by g(x). Then graph the function
f(x) = log 1/2 x and g(x) = 2 log 1/2 (x + 4)

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
use y=a%2Alog%28b%28x+-+h%29%29%2B+k to discover that changes in:
k result in vertical shift
h result in opposite horizontal shift
a result in vertical stretches and compressions (dilations), as well as reflections across the x-axis
b result in horizontal stretches and compressions (dilations), as well as reflections across the y-axis

f%28x%29+=+log+%28%281%2F2%29+x%29+=> b=1%2F2->parent function f%28x%29+=+log%28x%29 was stretched horizontally by a factor of 1%2F2
g%28x%29=2%2Alog%28%281%2F2%29%28x%2B4%29%29=> compared to f%28x%29+=+log+%28%281%2F2%29+x%29+ , we got
h=-4 horizontal translation, graph moved 4 units to the left
and
a=2 vertical stretch by a factor of 2

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