Question

Describe the transformations on f(x) that will occur when graphing f(-4x+8)
A. the graph is horizontally compressed by a factor of 1/4, reflected across the y-axis, and shifted 2 units right.
B. the graph is horizontally compressed by a factor of 4, reflected across the y-axis, and shifted 8 units right.
C. the graph is horizontally compressed by a factor of 1/4, reflected across the y-axis, and shifted 2 units left.
D. the graph is horizontally compressed by a factor of 1/4, reflected across the y-axis, and shifted 8 units left.

Answer 1

I'd suggest we break the problem up into easier parts.
Suppose we have the function f(x) and its graph, and want to know what happens to the graph if we replace x with (x+8). What do you think happens?

Answer 2

Hint: Think "horizontal translation."

Answer 3

Tiff? If we start out with f(x) and its graph, and we then replace (x) with (x+8), the whole graph is shifted to the LEFT by 8 units. Could you illustrate this by first graphing f(x)=x^2 and then by graphing f(x+8)=(x-[-8])?

Answer 4

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