SOLUTION: Describe the transformations on f(x) that will occur when graphing f(-4x+8).

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Question 1039723: Describe the transformations on f(x) that will occur when graphing f(-4x+8).
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Case I. f(x) is even.
Then f(-x) = f(x).
==> f(-4x+8) = f(4x-8)
==> f(-4(x-2)) = f(4(x-2))
==> There is horizontal translation 2 units to the right, and then vertical stretching by a factor of 4. There is no reflection across the x-axis.
Case II. f(x) is odd.
Then f(-x) = -f(x).
==> f(-4x+8) = -f(4x-8)
==> f(-4(x-2)) = -f(4(x-2))
==> There is horizontal translation 2 units to the right, and then vertical stretching by a factor of 4. There IS reflection across the x-axis.
Case III. f(x) neither odd nor even is similar to Case II.