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ACT® Math

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Moderate

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 $