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

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

Options:

Correct Answer: 5

Solution:

In the equation x^2 = 4py, we have 4p = 20, thus p = 20/4 = 5.

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

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

Step 1: Identify the given equation of the parabola, which is x^2 = 20y.
Step 2: Compare the given equation with the standard form of a parabola, which is x^2 = 4py.
Step 3: In the standard form, 4p is the coefficient of y. 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 20 divided by 4, which equals 5.
Step 6: Therefore, the value of p is 5.

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