# If a function f is an even function, then what type of symmetry does the graph of f have?

We will use the concept of even function in order to find the symmetry type.

## Answer: Even functions have line symmetry. The line of symmetry is the y-axis.

Let us see how we will use the concept of even function in order to find the symmetry type.

**Explanation**:

We all know that even functions are the function in which when we substitute x by -x, then the value of the function for that particular x does not change.

Hence, for even functions f(x) = f(-x)

Hence, we can conclude that the graph of the function behaves equally for all the points that are on the left of the origin as well as the right of the origin.