What is the standard form of the equation of a parabola that opens upwards with

Practice Questions

Q1
What is the standard form of the equation of a parabola that opens upwards with vertex at the origin?
  1. y^2 = 4ax
  2. x^2 = 4ay
  3. y^2 = -4ax
  4. x^2 = -4ay

Questions & Step-by-Step Solutions

What is the standard form of the equation of a parabola that opens upwards with vertex at the origin?
  • Step 1: Understand that a parabola that opens upwards has a specific equation format.
  • Step 2: Know that the vertex of the parabola is the point where it changes direction. In this case, the vertex is at the origin (0, 0).
  • Step 3: The standard form of a parabola that opens upwards is x^2 = 4ay, where 'a' is a distance that affects how wide or narrow the parabola is.
  • Step 4: Since the vertex is at the origin, we can directly use the equation x^2 = 4ay without any additional adjustments.
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