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To determine the interval where the function shown on the graph is decreasing, we need to observe the behavior of the function as \( x \) moves from left to right.

From the graph:

1. The function is a parabola opening upwards, which is characteristic of a quadratic function with a minimum point at the vertex.
2. The function decreases as \( x \) moves from \( -\infty \) up to the vertex and then increases afterward.
3. The vertex of the parabola is located at \( x = -2 \).

Therefore, the interval during which the function is decreasing is:
\[ (-\infty, -2) \]

The correct answer is:
**A. \( (-\infty, -2) \)**

Would you like more details or have any questions?

Here are some related questions for further exploration:
1. How do you determine the intervals of increase and decrease for other types of functions?
2. What is the significance of the vertex in determining the behavior of a quadratic function?
3. How can you determine the vertex of a quadratic function from its equation?
4. How does the direction in which a parabola opens affect the intervals of increase and decrease?
5. What methods can be used to find the vertex without graphing the function?

**Tip:** To find the vertex of a quadratic function \( f(x) = ax^2 + bx + c \), you can use the formula \( x = -\frac{b}{2a} \) to determine the x-coordinate of the vertex.

During which interval is the function shown on the graph below decreasing?

Understand how to determine the interval during which a quadratic function decreases by analyzing its graph. Learn about vertex points, decreasing intervals, and interval notation. This solution is suitable for students in Grades 8-10 studying quadratic functions.

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