Concept

Axis of Symmetry

An axis of symmetry is the line that divides the graph of a function in two mirrored images. For example, the graph of a quadratic function is a parabola that has an axis of symmetry parallel to the axis and passes through its vertex.
A parabola and its Axis of symmetry
It is also possible for a function to have an axis of symmetry which is not vertical. The following graph shows an example of this.
The graph of the example function has an inclined axis of symmetry

If a function's axis of symmetry is the axis, it is said that it is an even function.

Function 0.8*x^4-3*x^2+1.5 is symmetric with respect to the y-axis.

The concept of an axis of symmetry extends beyond graphs of functions. Any geometric figure can have an axis of symmetry if there exists a line that divides it into congruent, mirror-image halves.

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