https://file.aiquickdraw.com/mathbot/file/1726625916268n74bvugl.jpg

From the graph provided, we can observe a downward-facing parabola. The vertex of a parabola is the highest or lowest point, and since this parabola opens downward, the vertex will be the highest point on the curve.

Looking at the graph, the vertex appears to be at the point where \(x = -6\) and \(y = 4\). Therefore, the coordinates of the vertex are \((-6, 4)\).

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Here are 5 related questions:
1. How do you determine the vertex of a parabola algebraically if given the equation?
2. What does the vertex form of a parabola's equation look like?
3. How can you determine if a parabola opens upward or downward from its equation?
4. What are the other key features of a parabola, such as the axis of symmetry and focus?
5. How do changes in the equation of a parabola affect its graph?

**Tip:** The vertex form of a parabola is \( y = a(x - h)^2 + k \), where \((h, k)\) is the vertex. This form makes it easy to identify the vertex directly.

Using the graph, determine the coordinates of the vertex of the parabola.

Determine the coordinates of the vertex of a parabola by using the graph. This problem involves understanding the properties of parabolas and identifying the vertex using the graph. Suitable for students in Grades 9-12.

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