Symetrical with x-axis

if substituting -y for y in the equation results in an equivalent equation

Symetrical with origin

if substituting -x for x and -y for y in the equation results in an equivalent equation.

f(-x)=-f(x). Symetrical with origin

Simetrical with y axis

if substituting -x for x in the equation results in an equivalent equation.

f(-x)=f(x). Symetrical with y-axis

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Section 2.1 and 2.2

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Term	Definition
Symetrical with x-axis	if substituting -y for y in the equation results in an equivalent equation
Symetrical with origin	if substituting -x for x and -y for y in the equation results in an equivalent equation.
Odd function	f(-x)=-f(x). Symetrical with origin
Simetrical with y axis	if substituting -x for x in the equation results in an equivalent equation.
Even function	f(-x)=f(x). Symetrical with y-axis