SOLUTION: Given f(x) =x^2. Write the resulting function g(x) that is there obtained by taking f(x) and compressing it horizontally by a factor of 1/2 and then reflecting it over the y-axis.

Question 1177625: Given f(x) =x^2. Write the resulting function g(x) that is there obtained by taking f(x) and compressing it horizontally by a factor of 1/2 and then reflecting it over the y-axis.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

compressed horizontally by a factor of is

if the graph is stretched horizontally by a factor
if the graph is compressed horizontally by a factor
in your case
=>compressed horizontally by a factor

reflecting it over the -axis:
The graph is reflected about the y-axis when .
Reflecting this function across the y-axis, we replace by . Hence, the reflection across the -axis is , nothing changes
Therefore, the reflection is the as the original function.

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