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

₹0.0

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

Options:

Correct Answer: 5

Solution:

In the equation y^2 = 4px, we have 4p = 20, thus p = 5.

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

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.

No concepts available.