Question

How to solve symmetry solution

Answer 1

In this section we are going to take a look at something that we used back when we were graphing parabolas. However, we’re going to take a more general view of it this section. Many graphs have symmetry to them.

Symmetry can be useful in graphing an equation since it says that if we know one portion of the graph then we will also know the remaining (and symmetric) portion of the graph as well. We used this fact when we were graphing parabolas to get an extra point of some of the graphs.

In this section we want to look at three types of symmetry.

A graph is said to be symmetric about the xx-axis if whenever (a,b)(a,b) is on the graph then so is (a,−b)(a,−b). Here is a sketch of a graph that is symmetric about the xx-axis.