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

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Question: What is the standard form of the equation of a parabola that opens upwards with vertex at the origin?

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Correct Answer: x^2 = 4ay

Solution:

The standard form of a parabola that opens upwards is given by x^2 = 4ay.

What is the standard form of the equation of a parabola that opens upwards with vertex at the origin?

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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