What are the coordinates of the vertex of the graph or table? Is it a maximum or minimum? -8 0 0 0 0 4 -2 6 4 2 4 -6 y 4 6 a (0, -1); minimum b (-1,0); maximum C (0, -1); maximum d (-1,0); minimum 8 X

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Title: Understanding Vertex Coordinates and Graph Analysis**

**Graph Analysis Question:**
What are the coordinates of the vertex of the graph, and is it a maximum or minimum?

**Graph Description:**
- The graph presented is a parabola opening downwards.
- The vertex of the parabola is located at the point where the graph changes direction.
- The vertex is at the point (0, -1) on the coordinate plane.
- The graph suggests a maximum point at this vertex.

**Graph Details:**
- **X-Axis:** Ranges from -8 to 8.
- **Y-Axis:** Ranges from -8 to 8.
- Both axes are marked at integer intervals.

**Answer Options:**
- a) (0, -1); minimum
- b) (-1, 0); maximum
- c) (0, -1); maximum
- d) (-1, 0); minimum

**Correct Answer:**
- **c) (0, -1); maximum**

The parabola opens downward, indicating a maximum value at the vertex (0, -1).
Transcribed Image Text:**Title: Understanding Vertex Coordinates and Graph Analysis** **Graph Analysis Question:** What are the coordinates of the vertex of the graph, and is it a maximum or minimum? **Graph Description:** - The graph presented is a parabola opening downwards. - The vertex of the parabola is located at the point where the graph changes direction. - The vertex is at the point (0, -1) on the coordinate plane. - The graph suggests a maximum point at this vertex. **Graph Details:** - **X-Axis:** Ranges from -8 to 8. - **Y-Axis:** Ranges from -8 to 8. - Both axes are marked at integer intervals. **Answer Options:** - a) (0, -1); minimum - b) (-1, 0); maximum - c) (0, -1); maximum - d) (-1, 0); minimum **Correct Answer:** - **c) (0, -1); maximum** The parabola opens downward, indicating a maximum value at the vertex (0, -1).
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