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

  1. (2,2)

  2. (2,-2)

  3. (-2,2)

  4. (-2,-2)

The correct answer is: (-2,2)

The vertex of the graph of the equation y = -2x2 + 5x + 4 is (-2,2). The vertex is the point on the graph where the function reaches its maximum or minimum value. To find the vertex, we can use the formula x = -b/2a, where a is the coefficient of the x squared term and b is the coefficient of the x term. In this equation, a = -2 and b = 5, so x = -5/2(-2) = 5/4 = -1.25. To find the y-coordinate of the vertex, we can plug this value of x into the equation to get y = -2(-1.25)2 + 5(-1.25) + 4 = -2.5625 + (-6.25) + 4 = -4.812