Respuesta :

If the vertex of the parabola is (0, 0) and the focus is (2, 0). Then the equation of the parabola is x² = 8y. Then the correct option is C.

What is the parabola?

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

The vertex of the parabola is (0, 0) and the focus is (2, 0).

Then the equation of the parabola passing through the origin is given as

x² = 4ay

Then the value a is equal to 2.

Then the equation will be

x² = 4 × 2 × y

x² = 8y

More about the parabola link is given below.

https://brainly.com/question/8495504

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