Question

The graph of the parent function f(x) = x is transformed such that g(x) = f(-2x). How does the graph of g(x) compare to the

graph of f(x)?

Answer 1

• reflected across the y-axis
• compressed by a factor of 2

Explanation:

Replacing x by -x in f(x) causes it to be reversed horizontally, that is, reflected across the y-axis.

Replacing x by 2x in f(x) causes it to be compressed horizontally by a factor of 2.

Both of these transformations result in g(x) being a horizontally compressed horizontal reflection of f(x).

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See the attachment for an example. The blue curve is g(x); the red curve is f(x).