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Which of the following equations results in the same graph as y = x^2 + 2x - 4?

  1. y = (x+2)^2 - 2

  2. y = (x-2)^2 - 6

  3. y = (x+2)^2 + 4

  4. y = (x-2)^2 - 2

The correct answer is: y = (x-2)^2 - 2

The correct answer is D because all other equations have either added or subtracted different constants from the original equation, shifting the parabola vertically. In option A, the constant has been added, and in options B and C, it has been subtracted. The constant in D is the same as the original equation, keeping the shape and position of the parabola the same. Therefore, D will result in the same graph as y = x^2 + 2x - 4.