Algebra-1

Question Analysis
This question tests the student's ability to use symmetry and the given minimum value to determine the coordinates of the vertex. The problem provides two symmetric points and the minimum value of the parabola.

Key Concept Explanation
The axis of symmetry of a parabola is the vertical line passing through the vertex. If two points on the parabola have the same y-coordinate, they are symmetric about the axis of symmetry. The y-coordinate of the vertex is the minimum value of the parabola if it opens upwards.

Step-by-step Solution
1. Identify the given points: and .
2. Determine the axis of symmetry:

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