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What type of function is defined by the equation y = x2 - 4x + 3?

  1. Linear

  2. Quadratic

  3. Exponential

  4. Logarithmic

The correct answer is: Quadratic

The equation y = x2 - 4x + 3 represents a quadratic function. This is because it contains a squared term (x2) and a linear term (-4x), but no higher order terms or other types of functions. Linear functions have a constant rate of change and make straight lines when graphed, while quadratic functions have a parabolic shape. Exponential functions involve a variable in the exponent and logarithmic functions involve the logarithm of a variable, neither of which are present in this equation. Therefore, the only appropriate choice for this equation is B Quadratic.