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# Elliptical Transformation

ACTMAT-GXTVXY

The ellipse given by:

$$4(x+4)^2 + 36(y-2)^2 = 144$$

...is rotated $90°$ about its center.

Which of the following is the equation of the rotated ellipse?

A

$36(x-2)^2 + 4(y+4)^2 = 144$

B

$36(x+4)^2 + 4(y-2)^2 = 144$

C

$4(x+4)^2 + 36(y-2)^2 = 144$

D

$36(x-4)^2 + 4(y+2)^2 = 144$

E

$4(x-4)^2 + 36(y+2)^2 = 144$