Function Symmetry

f(x) = f(-x): is EVEN

f(x) = -f(x): is ODD

Symmetry that is related to the x-axis, then it is not a function AKA Neither/None

Any transformation will make the function Neither/None because it completely changes the function

Symmetry related to the y-axis:

Substitute x with -x, and if you get the same function it is symmetric to the y-axis

Symmetry related to the x-axis:

Substitute y with -y, and if you get the same function it is symmetric to the x-axis

Symmetry related to the origin:

Substitute x and y with -x and -y, and if you get the same function it is symmetric to the origin