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ACT® Math

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Moderate

Parabolic Transformation

ACTMAT-K4N1XJ

In the x-y coordinate plane, the graph of $ y = 3x^2 $ is shifted 4 units right and 2 units up.

Which of the following equations corresponds with this transformation?

A

$ {y = 12{ x }^{ 2 }+2} $

B

$ {y = 6{ x }^{ 2 } + 4} $

C

$ {y = 3({ x+4) }^{ 2 } + 2} $

D

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

E

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