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For the parabola defined by the equation x^2 = -12y, what is the direction in wh

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Question: For the parabola defined by the equation x^2 = -12y, what is the direction in which it opens?

Options:

  1. Upwards
  2. Downwards
  3. Left
  4. Right

Correct Answer: Left

Solution: 

The equation x^2 = -12y indicates that the parabola opens downwards.

For the parabola defined by the equation x^2 = -12y, what is the direction in wh

Practice Questions

Q1
For the parabola defined by the equation x^2 = -12y, what is the direction in which it opens?
  1. Upwards
  2. Downwards
  3. Left
  4. Right

Questions & Step-by-Step Solutions

For the parabola defined by the equation x^2 = -12y, what is the direction in which it opens?
  • Step 1: Identify the standard form of a parabola. The standard form is x^2 = 4py.
  • Step 2: Compare the given equation x^2 = -12y with the standard form x^2 = 4py.
  • Step 3: In the equation x^2 = -12y, we can see that 4p = -12.
  • Step 4: Solve for p by dividing -12 by 4, which gives p = -3.
  • Step 5: Determine the direction of the parabola. If p is negative, the parabola opens downwards.
  • Parabola Orientation – Understanding the standard form of a parabola and how the coefficients determine its direction of opening.
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