A parabola passes through the points (1, 5) and (7, 5). The axis of symmetry of this parabola is ________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to find the axis of symmetry using the property that symmetric points on a parabola have the same y-coordinate.
Key Concept Explanation
If two points on a parabola have the same y-coordinate, the axis of symmetry is the average of their x-coordinates.
Step-by-step Solution
1. Identify the x-coordinates of the given points: and
2. Calculate the average of the x-coordinates:
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