1Cademy - Define the axis of symmetry of a parabola. Then give its formula for $$y=ax^2+bx+c$$.

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Axis of Symmetry of a Parabola

Essay

Define the axis of symmetry of a parabola. Then give its formula for $y=ax^2+bx+c$ .

Question: Define the axis of symmetry of a parabola. Then give its formula for $y=ax^2+bx+c$ .

Sample answer: The axis of symmetry is the vertical line that divides a parabola into two mirror-image halves and passes through its vertex. Its formula is $x=-\frac{b}{2a}$ .

Key points:

It is a vertical line.
It divides the parabola into two mirror-image halves.
It passes through the vertex.
For $y=ax^2+bx+c$ , it is $x=-\frac{b}{2a}$ .

Rubric: The answer should describe the axis of symmetry as a vertical line dividing the parabola into mirror-image halves and give the correct formula.

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Updated 2026-08-30

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