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Axis of Symmetry of a Parabola

In a parabola, the axis of symmetry is the vertical line that divides the U-shaped curve into two mirror-image halves. If the parabola were folded along this line, one side would lie exactly on top of the other. The axis of symmetry always passes through the vertex of the parabola. For a parabola in the general form y=ax2+bx+cy = ax^2 + bx + c, the axis of symmetry is given by the formula x = - rac{b}{2a}. For a parabola in the standard form y=a(xh)2+ky = a(x - h)^2 + k, the axis of symmetry is simply the vertical line x=hx = h.

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Updated 2026-05-19

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