The parabola y^2 = 12x opens in which direction?

Practice Questions

Q1
The parabola y^2 = 12x opens in which direction?
  1. Upwards
  2. Downwards
  3. Left
  4. Right

Questions & Step-by-Step Solutions

The parabola y^2 = 12x opens in which direction?
  • Step 1: Identify the given equation, which is y^2 = 12x.
  • Step 2: Recognize that this equation is in the form y^2 = 4px, where 'p' is a constant.
  • Step 3: Compare the given equation with the standard form. Here, 4p = 12.
  • Step 4: Solve for 'p' by dividing 12 by 4, which gives p = 3.
  • Step 5: Determine the direction the parabola opens. Since 'p' is positive (p = 3), the parabola opens to the right.
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