https://file.aiquickdraw.com/mathbot/file/1728572050897gfnk8ul1.jpg

The graph in the image depicts a parabola, which opens upward and has a vertex located at the point (-1, -1). Based on this, we can determine the symmetry of the graph.

The correct answer to the question "Which statement about the following graph is correct?" is:

**The graph is symmetric about the line x = -1.**

This is because the parabola's vertex is at (-1, -1), and parabolas are symmetric about a vertical line passing through their vertex, which in this case is the line **x = -1**.

Would you like more details or have any questions?

Here are 5 questions that expand on this topic:
1. How do you determine the axis of symmetry for a parabola from its equation?
2. What does it mean for a graph to be symmetric with respect to a line?
3. How can you find the vertex of a parabola from its graph?
4. What role does the vertex form of a parabola's equation play in identifying its symmetry?
5. How do transformations (translations) of a parabola affect its symmetry?

**Tip:** For any parabola given by the equation \( y = ax^2 + bx + c \), the line of symmetry is always \( x = -\frac{b}{2a} \).

Which statement about the following graph is correct?

Analyze the graph of a parabola symmetric about the line x = -1. Explore key concepts like graph symmetry, the vertex of a parabola, and the axis of symmetry. Suitable for students in Grades 9-11.

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