My Learning Cart
?
Categories
Account

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

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

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

Options:

  1. x = -1
  2. y = -1
  3. x = 1
  4. y = 1

Correct Answer: x = -1

Solution: 

The axis of symmetry for a parabola in the form y = ax^2 + bx + c is given by x = -b/(2a). Here, a = 3 and b = 6, so x = -6/(2*3) = -1.

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.
  • Axis of Symmetry – The axis of symmetry for a parabola is a vertical line that divides the parabola into two mirror-image halves, calculated using the formula x = -b/(2a) from the standard quadratic equation.
  • Quadratic Equation – Understanding the standard form of a quadratic equation (y = ax^2 + bx + c) and identifying coefficients a, b, and c.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks