The type of transformation that preserves the symmetry is Vertical translation.
For instance, a parabola is still symmetric about the y-axis if you move it up. It loses its symmetry if you move it to the left or right. Reflection keeps both even and odd functions symmetrical.
<h3>What is the difference between even and odd function ?</h3>The symmetry of a function is described using the terms even and odd. On a graph, an even function is symmetric about the y-axis. An odd function has symmetric behavior around a graph's origin . This means that if you rotate an odd function 180 degrees around the origin, the function you started with will still exist.
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