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Parabolic Transformation: $90°$ Rotation

ACTMAT-KEXJKN

The graph of the parabola represented by the equation:

$$ y = -(x-4)^2 + 3 $$

...is rotated $90°$ counterclockwise around the vertex.

Which of the following is the equation of the new graph?

A

$ x = (y-3)^2 + 4 $

B

$ y = (x-4)^2 + 3 $

C

$ x = -(y-3)^2 + 4 $

D

$ y = (x-3)^2 + 4 $

E

$ x = (y-4)^2 + 3 $