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What is the axis of symmetry for the parabola given by the equation y = -2x^2 +

Practice Questions

Q1
What is the axis of symmetry for the parabola given by the equation y = -2x^2 + 4x + 1?
  1. x = 1
  2. y = 1
  3. x = 2
  4. y = 2

Questions & Step-by-Step Solutions

What is the axis of symmetry for the parabola given by the equation y = -2x^2 + 4x + 1?
  • Step 1: Identify the coefficients a and b from the equation y = -2x^2 + 4x + 1. Here, a = -2 and b = 4.
  • Step 2: Use the formula for the axis of symmetry, which is x = -b/(2a).
  • Step 3: Substitute the values of a and b into the formula: x = -4/(2 * -2).
  • Step 4: Calculate the denominator: 2 * -2 = -4.
  • Step 5: Now substitute this back into the equation: x = -4 / -4.
  • Step 6: Simplify the fraction: x = 1.
  • Step 7: The axis of symmetry for the parabola is x = 1.
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