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Math Asked by a SnapAndSolve user · about 10 hours ago

What is the vertex of the graph of the function below?

What is the vertex of the graph of the function below?
y = x^2 - 8x + 12
A. (2, -4)
B. (4, -4)
C. (4, 0)
D. (2, 0)

Answer

The vertex of a quadratic function y = ax^2 + bx + c is given by the formula:

Vertex (h, k) = (-b/2a, f(-b/2a))

For the function y = x^2 - 8x + 12:

  1. a = 1, b = -8, c = 12
  2. h = -(-8)/(2*1) = 8/2 = 4
  3. k = f(4) = (4)^2 - 8*(4) + 12 = 16 - 32 + 12 = -4

Therefore, the vertex is (4, -4).

The correct answer is B. (4, -4).

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