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Let's analyze and answer each part of the problem based on the graph of the parabola.

### (a) Direction of the Parabola
The parabola in the graph opens **upward**. We know this because the arms of the parabola extend upward as we move away from the vertex.

**Answer for (a):** Upward

### (b) Intercepts
1. **x-intercepts:** The points where the graph crosses the x-axis.
   - Based on the graph, the x-intercepts appear to be at approximately \((-5, 0)\) and \((1, 0)\).

   **Answer for x-intercepts:** \((-5, 0), (1, 0)\)

2. **y-intercept:** The point where the graph crosses the y-axis.
   - Observing the graph, the y-intercept is at \((0, -5)\).

   **Answer for y-intercept:** \((0, -5)\)

### (c) Vertex
The vertex of the parabola is the lowest point on the graph, given it opens upward.
- The vertex is located at approximately \((-2, -9)\).

**Answer for (c):** Vertex: \((-2, -9)\)

### (d) Axis of Symmetry
The axis of symmetry is the vertical line that passes through the vertex of the parabola.
- Since the vertex is at \((-2, -9)\), the axis of symmetry is the line \(x = -2\).

**Answer for (d):** Axis of Symmetry: \(x = -2\)

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Would you like a detailed explanation for each part? Here are some additional questions to deepen understanding:

1. What is the standard form equation of a parabola that opens upward or downward?
2. How can we find the vertex of a parabola given its equation in standard form?
3. What role does the axis of symmetry play in the symmetry of a parabola?
4. How can we determine the direction of a parabola based on its equation?
5. What other information can we infer from the vertex and intercepts of a parabola?

**Tip:** For a quadratic function \( y = ax^2 + bx + c \), if \( a > 0 \), the parabola opens upward; if \( a < 0 \), it opens downward.

Use the graph of the parabola to fill in the table. Does the parabola open upward or downward? Find the x- and y-intercepts, the coordinates of the vertex, and the equation of the axis of symmetry.

Learn how to analyze a parabola's graph by identifying its direction, x- and y-intercepts, vertex coordinates, and axis of symmetry equation. This exercise is suitable for students in Grades 8-10 and covers key concepts in quadratic functions and graphing.

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