A parabola passes through the points (-2, 5) and (8, 5). Find the equation of the axis of symmetry. The axis of symmetry is ______.
Answer & Analysis
Analysis
Question Analysis
This question requires students to use the property of the axis of symmetry, which is the perpendicular bisector of the line segment connecting two symmetric points on the parabola.
Key Concept Explanation
The axis of symmetry for a parabola is the vertical line that divides the parabola into two mirror images. If two points on the parabola have the same y-coordinate, their x-coordinates' average gives the x-coordinate of the axis of symmetry.
Step-by-step Solution
1. Identify the given points: and
2. Calculate the x-coordinate of the axis of symmetry:
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