https://file.aiquickdraw.com/mathbot/file/1727150449264fu10kmi5.jpg

The question is asking about the properties of a quadratic function's graph, given its visual representation.

1. **Understanding the Graph**:
   - The graph is a parabola opening upwards, indicating that the coefficient \( a \) (from the general form \( ax^2 + bx + c \)) is positive (\( a > 0 \)).
   - The parabola intersects the x-axis at two distinct points, which means it has two real roots. This implies that the discriminant (\( D \)) of the quadratic equation is greater than zero (\( D > 0 \)).

2. **Conclusion**:
   - The properties of the function are: \( a > 0 \) and \( D > 0 \).
   - Therefore, the correct answer is option **a. \( a > 0 \), \( D > 0 \)**.

Would you like more details on the quadratic discriminant or any other aspect of the problem?

### Related Questions:
1. What is the general form of a quadratic function, and how do its coefficients affect the graph?
2. How do you calculate the discriminant of a quadratic equation, and what does it signify?
3. What are the vertex and axis of symmetry of a quadratic function?
4. How do you determine whether a parabola opens upwards or downwards?
5. What are the roots of a quadratic function, and how can they be found graphically and algebraically?

**Tip:** The discriminant of a quadratic equation \( ax^2 + bx + c = 0 \) is given by \( D = b^2 - 4ac \). It determines the nature of the roots: 
- \( D > 0 \): Two distinct real roots.
- \( D = 0 \): One real root (repeated).
- \( D < 0 \): No real roots (complex roots).

Grafik fungsi kuadrat berikut memiliki sifat ....

This question discusses the characteristics of a quadratic function with a parabola that opens upward, focusing on determining the value of the coefficient 'a' and the discriminant 'D'. The correct answer is based on analyzing the graph.

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