Chapter 4

To find your answers for symmetry, follow the steps below

a/b the x-axis

First, place a negative sign in front of all the y's and simplify

Second, check to see If the equation when simplified is like the original equation then it is symmetrical about the x-axis

Third, if not symmetrical it has to be NOTED that it is not symmetrical about the x-axis.

a/b the y-axis

First, plug in (-x)

Second, check to see if the equation when simplified is like the original equation then it is symmetrical about the y-axis

Third, if not symmetrical it has to be NOTED that it is not symmetrical about the y-axis

a/b the origin
First, plug in (-x) and place a negative sign in front of all the y's
Second, check to see if the equation when simplified is like the original equation then it is symmetrical about the origin
Third, if not symmetrical it has to be NOTED that it is not symmetrical about the origin

y=x
First, switch the x's and y's and solve for y
Second, check to see if the equation when simplified is like the original equation then it shows that y=x

Third, if not, it has to be NOTED y doesn't equal x.

Example: x^2+xy=4

i. x^2+x(-y)=4

not symm. a/b the x-axis

ii. -x^2+-xy=4

not symm. a/b the y-axis

iii. -x^2+-x-y=4

not symm. a/b the origin

iv. y^2+yx=4

y doesn't equal x no