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What is the axis of symmetry for the parabola given by the equation y = 3x^2 + 6

Practice Questions

Q1
What is the axis of symmetry for the parabola given by the equation y = 3x^2 + 6x + 2?
  1. x = -1
  2. y = -1
  3. x = 1
  4. y = 1

Questions & Step-by-Step Solutions

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