6
advanced-math

Which equation represents a parabola shifted left 3 and up 2?

A

y=(x+3)2+2y = (x + 3)^2 + 2

B

y=(x−3)2+2y = (x - 3)^2 + 2

C

y=(x+3)2−2y = (x + 3)^2 - 2

D

y=(x−3)2−2y = (x - 3)^2 - 2

Correct Answer: A

Choice A is the correct answer.

  1. Left 3: Replace xx with (x−(−3))=(x+3)(x - (-3)) = (x + 3).
  2. Up 2: Add 2 to the end of the function.
  3. Combine: y=(x+3)2+2y = (x + 3)^2 + 2.

Choice B is incorrect because it shifts right. Choice C is incorrect because it shifts down. Choice D is incorrect because it shifts right and down.

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