A parabola passes through the points (4, 5) and (8, 5), and its minimum value is 2. Find the coordinates of the vertex.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's understanding of the symmetry of a parabola and the use of the given points to determine the coordinates of the vertex.
Key Concept Explanation
The points and are symmetric about the axis of symmetry, which means the axis of symmetry is the vertical line passing through the midpoint of these points. The y-coordinate of the vertex is the minimum value of the function, which is given as 2.
Step-by-step Solution
1. Identify the symmetric points: and
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