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The shaed region represents the set C of...

The shaed region represents the set C of all points (x, y) such that `x^(2)+y^(2)le 1`. The transformation T maps the point (x, y) to the point (2x, 4y). Which of the following shows the mapping of the set C by the transformation T ?

A

B

C

D

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The correct Answer is:
B

Think about what happens to the indicated intercepts when all x's are doubled and all y's are quadrupled. The x - intercepts become 2 and -2, and the y - intercepts become 4 and -4. Choice (B) firs.
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