Find the equation of the parabola if the length of the Latus rectum is 8 units and the parabola opens upward. Scratch its graph

Here is the graph of the parabola with the equation \(x^2 = 8y\). It includes all the relevant details like the vertex at the origin, the focus, the directrix, and the latus rectum.

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### Related Questions:
1. What is the general form of a parabola that opens to the right?
2. How do you find the focus and directrix of a parabola given its equation?
3. What is the significance of the latus rectum in a parabola?
4. How do transformations affect the equation of a parabola?
5. Can you provide the equation of a parabola that opens downward?

**Tip:** For any conic section, the distance between the focus and directrix defines its shape and orientation.

Learn how to find the equation of a parabola when given the length of the latus rectum and its orientation. This problem explores the properties of parabolas opening upward, with a focus on the equation x^2 = 8y. Includes a detailed graph illustrating the vertex, focus, directrix, and latus rectum.

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