The Graph, x^2 + y^2-x = 1 is symmetric about

The Graph, x^2 + y^2-x = 1 is symmetric about

Explanation

1. Center:

To check for symmetry, we first need to identify the center of the graph.

The equation is in the form of a circle, x^2 + y^2 = 1, which has its center at the origin (0,0).

2. x-axis symmetry:

A graph is symmetric about the x-axis if replacing y with -y in the equation does not change the equation.

Let's test this:

x^2 + (-y)^2 - x = 1

x^2 + y^2 - x = 1

As we can see, the equation remains the same, so the graph is symmetric about the x-axis.