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Axis of Symmetry of a Parabola
In a parabola, the axis of symmetry is the "fold line" that divides the U-shaped curve into two mirror-image halves. If the parabola is folded along this vertical line, one side lies exactly on top of the other. The axis of symmetry always passes through the center of the parabola. For a parabola described by the quadratic equation , the axis of symmetry is given by the formula:
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Elementary Algebra @ OpenStax
Ch.10 Quadratic Equations - Elementary Algebra @ OpenStax
Algebra
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Prealgebra
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Formula for the Axis of Symmetry
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Defining Symmetry in Parabolic Design
A quality control technician is inspecting a parabolic component to ensure it is perfectly balanced. The technician knows that the 'axis of symmetry' acts as a fold line for the part. According to the geometric properties of a parabola, where is this axis always located?
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