https://file.aiquickdraw.com/mathbot/file/1729168383004nmbgq0jz.jpg

The image shows four options (A, B, C, and D) for a quadratic graph, and the question asks which one is correctly drawn.

A correctly drawn quadratic graph should have the following characteristics:
1. The graph is a parabola (U-shaped curve).
2. If the quadratic term has a positive coefficient, the parabola opens upwards (concave up), and if negative, it opens downwards (concave down).
3. The graph should have one vertex (minimum or maximum point) and could have one or two intersections with the x-axis (real roots).
4. The graph should be symmetric about a vertical line through the vertex.

### Analysis:
- **Option A**: The parabola is incorrectly drawn as the lines appear angular, not smooth, and doesn't resemble a quadratic graph.
- **Option B**: This graph shows a smooth, U-shaped curve, typical of a quadratic graph opening upwards, symmetric around the vertex.

Which of these options shows a correctly drawn quadratic graph?

Explore how to correctly identify a quadratic graph. This problem involves recognizing key properties of parabolas such as vertex, symmetry, and roots. Perfect for students learning about quadratic equations in Grades 9-10.

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