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what is the equation of the axis of symmetry of the graph of (y = ax^2 …

Question

what is the equation of the axis of symmetry of the graph of (y = ax^2 + bx + c)?

  • (y = \frac{-b}{2a})
  • (x = \frac{-b}{2a})
  • (y = \frac{-b}{2c})
  • (x = \frac{-b}{2c})

Explanation:

Identify the standard form of a quadratic function

$$ y = ax^2 + bx + c $$

Determine the formula for the axis of symmetry

$$ x = \frac{-b}{2a} $$

Answer:

  • (A) \(y = \frac{-b}{2a}\)
  • (B) \(x = \frac{-b}{2a}\) (Correct answer)
  • (C) \(y = \frac{-b}{2c}\)
  • (D) \(x = \frac{-b}{2c}\)