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What is the vertex of the parabola y = 2x2 + 4x - 5?

  1. 0, -5

  2. 1, -5

  3. -2, -5

  4. -1, -5

The correct answer is: -2, -5

The vertex of a parabola represents the highest or lowest point of the curve, also known as the maximum or minimum point. In the standard form of a parabola, y = ax^2 + bx + c, the vertex can be found by using the formula (-b/2a, -[b^2-4ac]/4a). In this case, the coefficient of x^2 is 2 and the coefficient of x is 4. Using the formula, we get (-4/2*2, -[4^2-4*2*-5]/4*2) = (-2, -24/8) = (-2, -3). A, B, and D are incorrect because the first coordinate does not match the x-coordinate of the vertex and the second coordinate does not match the y-coordinate of the vertex. Keep in mind that