Symmetry
Y-axis symmetry:
The graph of an equation is symmetric with respect to the y-axis if an equivalent equation is obtained when x is replaced by -x.
ex.
x2 = 2y
(-x)2 = 2y = x2 = 2y
this equation is symmetric about the y-axis.
X-axis symmetry:
The graph of an equation is symmetric with respect to the x-axis if an equivalent equation is obtained when y is replaced by -y.
ex.
y6= 4x
(-y)6 = 4x = y6 = 4x
this equation is symmetric about the x-axis.
Origin Symmetry:
The graph of an equation is symmetric with respect to the origin if an equivalent equation is obtained when x is replaced by -x and y replaced by -y.
ex.
x3 = y
(-x)3 = -y
-x3 = -y = x3 = y
this equation is symmetric about the origin.
Subject:
Algebra [1]
Subject X2:
Algebra [1]