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Using the graph, determine the coordinates of the x-intercepts of the parabola.

The graph shows a parabola, and you are asked to find its x-intercepts. X-intercepts are the points where the parabola crosses the x-axis, which happens when \( y = 0 \).

From the graph:

- One x-intercept is at \( x = -6 \).
- The other x-intercept is at \( x = -2 \).

Thus, the coordinates of the x-intercepts are:
\[
(-6, 0) \quad \text{and} \quad (-2, 0)
\]

Would you like more details, or do you have any questions?

Here are five related questions to think about:
1. How would you find the x-intercepts algebraically if the equation of the parabola was given?
2. What is the significance of the vertex of a parabola in relation to its x-intercepts?
3. Can a parabola have no x-intercepts? If so, under what conditions?
4. How do the values of the coefficients in the quadratic equation affect the x-intercepts?
5. How can you verify the x-intercepts using the quadratic formula?

**Tip:** The x-intercepts of a quadratic function are the solutions to the equation \( ax^2 + bx + c = 0 \), which can be solved using factoring, completing the square, or the quadratic formula.

Using a parabola graph, learn how to determine the coordinates of the x-intercepts where the graph crosses the x-axis. This problem covers key algebraic concepts and is suitable for students in Grades 7-10.

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