What is the axis of symmetry for the parabola given by the equation y = -3(x - 2

Practice Questions

Q1
What is the axis of symmetry for the parabola given by the equation y = -3(x - 2)^2 + 5?
  1. x = 2
  2. y = 5
  3. y = -3
  4. x = -2

Questions & Step-by-Step Solutions

What is the axis of symmetry for the parabola given by the equation y = -3(x - 2)^2 + 5?
  • Step 1: Identify the equation of the parabola, which is y = -3(x - 2)^2 + 5.
  • Step 2: Recognize that this equation is in vertex form, which is y = a(x - h)^2 + k.
  • Step 3: In the vertex form, 'h' represents the x-coordinate of the vertex and also the axis of symmetry.
  • Step 4: From the equation, identify 'h' as the value inside the parentheses, which is 2.
  • Step 5: Write the axis of symmetry using the value of 'h'. The axis of symmetry is x = h.
  • Step 6: Therefore, the axis of symmetry is x = 2.
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