Which of the following expressions represents the vertex of the quadratic equati

Practice Questions

Q1
Which of the following expressions represents the vertex of the quadratic equation y = ax^2 + bx + c?
  1. (-b/2a, f(-b/2a))
  2. (b/2a, f(b/2a))
  3. (c/a, 0)
  4. (0, c)

Questions & Step-by-Step Solutions

Which of the following expressions represents the vertex of the quadratic equation y = ax^2 + bx + c?
  • Step 1: Identify the quadratic equation in the form y = ax^2 + bx + c.
  • Step 2: Recognize that the vertex of a parabola represented by this equation can be found using a specific formula.
  • Step 3: The x-coordinate of the vertex is calculated using the formula -b/(2a).
  • Step 4: To find the y-coordinate of the vertex, substitute the x-coordinate (-b/(2a)) back into the original equation to get f(-b/(2a)).
  • Step 5: Combine the x and y coordinates to express the vertex as the point (-b/(2a), f(-b/(2a))).
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