directrix
y = - 9
and Vertex (-3 ,1)
provide the following :
P value ; focus ; Length of Latus Rectum;
Endpoints of Latus Rectum
equation of the principal axis
standard equation of the parabola
general equation of the parabola
Graph of the parabola

Here is the graph of the parabola based on the given information. The key points and lines are marked, including the vertex, focus, directrix, and latus rectum.

Would you like any additional details or explanations? Here are some follow-up questions you might find useful:

1. How do the directrix and focus affect the shape and orientation of a parabola?
2. What are other forms of parabola equations?
3. How can we derive the equation of the parabola from the focus and directrix?
4. How does the value of \( p \) influence the latus rectum and the shape of the parabola?
5. What are the key differences between a horizontal and a vertical parabola?

**Tip:** Remember that the distance from the vertex to the directrix is always the same as the distance from the vertex to the focus in a parabola.

Explore the properties of a parabola with vertex at (-3, 1) and directrix y = -9. Understand the focus, length of latus rectum, endpoints of latus rectum, equation of the principal axis, standard equation, and general equation of the parabola. View the graph of the parabola for a visual representation.

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