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What is the range of the following quadratic function: y=x2-4x+2?

  1. y≤2

  2. y≥2

  3. y≤0

  4. y≥0

The correct answer is: y≥2

The range of a quadratic function can be determined by finding the vertex, which represents the maximum or minimum value of the function. In this case, the vertex is (2,-2), indicating that the function has a minimum value of -2. Therefore, the range is all real numbers greater than or equal to y=-2, making option B the correct choice. Options A and C are incorrect as they limit the range to be less than or equal to a specific value. Option D is also incorrect as it does not take into account the minimum value of the function. Therefore, option B is the only correct choice as it accurately represents the range of the given quadratic function.