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To solve the given problem:

- **Given information:**
  - The vertex of the parabola is at the origin (0, 0).
  - The equation of the directrix is \( y = 2 \).

### Key Concepts:
1. A parabola is defined as the set of points equidistant from a fixed point called the *focus* and a fixed line called the *directrix*.
2. The directrix \( y = 2 \) tells us that the line is above the origin.
3. For a parabola, if the directrix is horizontal (like \( y = 2 \)), the parabola opens **vertically**.
   - If the directrix is above the vertex, the parabola opens **downward** (toward the opposite side of the directrix).

### Conclusion:
Since the directrix is above the vertex at \( y = 2 \), the parabola will open **downward**.

Thus, the correct answer is **B. downward**.

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Do you want more details on this concept or have any questions?

### 5 Related Questions:
1. What is the general equation of a parabola that opens downward?
2. How do you find the focus of a parabola when given the directrix and vertex?
3. What is the relationship between the focus and the directrix in a parabola?
4. How would the equation change if the parabola opened to the left or right?
5. Can a parabola have a directrix that is a vertical line?

### Tip:
When solving parabola problems, always check the relative position of the directrix to the vertex to determine the direction of the opening.

If the vertex is at the point of origin and the equation of the directrix is y = 2, how does the parabola open?

Learn how to determine the direction in which a parabola opens when given the vertex at the origin and the directrix y = 2. This concept involves understanding parabolas and their relationship to directrices and foci, ideal for students in Grades 10-12.

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