4-3 Symmetry

So this week I am going to explain how to work problems that make you check for symmetry. These problems have a lot of notes, but are very easy to do. So here are the notes that you are going to need to know:

About the x-axis:

• Put a negative in front of the y and simplify.
• The new equation is symmetry about the x-axis.
• If it matches the original it is symmetry about the x-axis

About the y-axis:

• Put a negative in front of the x's
• The new equation is symmetry about the y-axis
• If it matches the original it is symmetry about the y-axis

About the origin:

• Put negative in front of the x's and y's
• The new equation is symmetry about the origin
• If it matches the original it is symmetry about the origin

About y=x

• Switch the x and the y and solve for y.
• The new equation is symmetry about y=x
• If it matches the original it is symmetry about y=x

So now I am going to work an example to help you to better understand what you are doing in problems like these.

Example 1: y^2-xy=2

1. -y^2-x(-y)=2
2. -y^2+xy=2
3. Not sym about x-axis

1. y^2-(-x)y=2
2. y^2+xy=2
3. Not sym about y-axis

1. -y^2-(-x)(-y)=2
2. -y^2-xy=2
3. Not sym about origin

1. x^2-yx=2
2. Not sym about y=x

And it is as easy as that. Well that is it for this weeek. BYEE

--Halie :)