The Graph, x^2 + y^2-x = 1 is symmetric about
- x
- y
- origin
- none
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.
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