What is the value of p for the parabola defined by the equation y^2 = 20x?

Practice Questions

Q1
What is the value of p for the parabola defined by the equation y^2 = 20x?
  1. 5
  2. 10
  3. 20
  4. 4

Questions & Step-by-Step Solutions

What is the value of p for the parabola defined by the equation y^2 = 20x?
  • Step 1: Identify the given equation of the parabola, which is y^2 = 20x.
  • Step 2: Compare the given equation with the standard form of a parabola, which is y^2 = 4px.
  • Step 3: In the standard form, 4p is the coefficient of x. Here, we see that 4p = 20.
  • Step 4: To find the value of p, divide both sides of the equation 4p = 20 by 4.
  • Step 5: Calculate p: p = 20 / 4.
  • Step 6: Simplify the calculation: p = 5.
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