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A quadratic function f is defined by f(x) = a(x - h)^2 + k, where a, h, and k are constants. The graph of y = f(x) in the xy-plane has a vertex at (4, -2) and passes through the point (2, 6).

What is the value of a?

  1. -4
  2. -2
  3. 1.5
  4. 2

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