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The graph shown is of a quadratic function, typically represented in the form \( y = ax^2 + bx + c \), and it appears to be a parabola opening upwards. The graph crosses the x-axis at specific points, which are key to identifying the following:

1. **Zeros, Roots, or Solutions**: These terms refer to the values of \( x \) where the quadratic function equals zero, meaning the points where the graph intersects the x-axis.

In the graph:
- The x-intercepts are at \( x = -2 \) and \( x = 2 \).

Thus, the **zeros/roots/solutions** of the quadratic function are \( x = -2 \) and \( x = 2 \).

2. **X-Intercepts**: These are simply the points where the function crosses the x-axis. The x-intercepts are the same as the zeros/roots and occur at \( (-2, 0) \) and \( (2, 0) \).

Summary:
- Zeros/Roots/Solutions: \( x = -2 \) and \( x = 2 \)
- X-Intercepts: \( (-2, 0) \) and \( (2, 0) \)

Would you like further details or have any questions?

Here are five related questions to deepen understanding:
1. How can you derive the quadratic equation from the graph?
2. What is the vertex form of a quadratic equation, and how would it apply here?
3. How do the values of \( a \), \( b \), and \( c \) in a quadratic equation affect the shape and position of the parabola?
4. What is the relationship between the discriminant and the number of x-intercepts?
5. Can a quadratic function have no real x-intercepts? If so, how would that look graphically?

**Tip**: The vertex of a parabola is a key point, located halfway between the x-intercepts, and can be found using the formula \( x = -\frac{b}{2a} \) for the standard form of a quadratic equation.

Identify the zeros, roots, solutions, and x-intercepts of the quadratic function.

Learn how to identify the zeros, roots, solutions, and x-intercepts of a quadratic function by analyzing its graph. This problem covers core algebraic concepts, including interpreting graphs of parabolas and understanding x-intercepts. Suitable for students in Grades 7-9.

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