A parabola passes through the points (4, 7) and (12, 7), and its minimum value is 3. Find the vertex coordinates ________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to use symmetry and the given extremum value to find the vertex of a parabola. The points and are symmetric about the axis of symmetry.
Key Concept Explanation
The axis of symmetry is the line that divides the parabola into two mirror images. The vertex lies on this axis and can be found using the midpoint of the symmetric points.
Step-by-step Solution
1. Identify the symmetric points: and
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