What Is the Axis of Symmetry Formula?


Quick Answer

Written in standard form, the axis of symmetry formula is x = -b/(2a). It is derived from the standard formula for a parabola of y = ax^2 + bx + c. A parabola is a u-shaped geometric structure.

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Full Answer

In vertex form, which is used to determine the graph of a parabola when given vertex, the axis of symmetry formula is x = h, from the vertex formula for a parabola where y = (x - h)^2 + k. In the vertex formula, h is the x-coordinate of the vertex and k is the y-coordinate. The axis of symmetry formula is used to find the line that divides the parabola into mirror-image halves.

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