Identify the Vertex , axis of symmetry and state if it opens upwards or downwards

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Identify the Vertex , axis of symmetry and state if it opens upwards or downwards
This image shows a graph of a parabola on a coordinate plane. The x-axis ranges from -7 to 7, and the y-axis ranges from -7 to 7. The parabola is oriented downwards, indicating it opens in a downward direction.

Graph Details:
- The graph displays a symmetric, U-shaped curve that peaks at the top before descending symmetrically on both sides.
- The vertex of the parabola is located at the point (3, 5).
- The axis of symmetry is a vertical line that passes through the vertex, represented by the line x = 3.

Below the graph, there are fields to fill in:
- The vertex of the parabola is __________.
- The axis of symmetry is __________.
- A dropdown menu indicates that "The parabola opens" with the option marked as "downwards."
Transcribed Image Text:This image shows a graph of a parabola on a coordinate plane. The x-axis ranges from -7 to 7, and the y-axis ranges from -7 to 7. The parabola is oriented downwards, indicating it opens in a downward direction. Graph Details: - The graph displays a symmetric, U-shaped curve that peaks at the top before descending symmetrically on both sides. - The vertex of the parabola is located at the point (3, 5). - The axis of symmetry is a vertical line that passes through the vertex, represented by the line x = 3. Below the graph, there are fields to fill in: - The vertex of the parabola is __________. - The axis of symmetry is __________. - A dropdown menu indicates that "The parabola opens" with the option marked as "downwards."
Expert Solution
Answer:

The vertex of the parabola is (4,3).

The axis of symmetry is the vertical line  x=4.

The parabola opens downwards.

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