What equation is symmetric with respect to the origin?
The graph of a relation is symmetric with respect to the origin if for every point (x,y) on the graph, the point (-x, -y) is also on the graph. with -y and see if you still get the same equation. If you do get the same equation, then the graph is symmetric with respect to the origin.
How do you tell if a graph is symmetric with respect to the origin?
Mathwords: Symmetric with Respect to the Origin. Describes a graph that looks the same upside down or right side up. Formally, a graph is symmetric with respect to the origin if it is unchanged when reflected across both the x-axis and y-axis
What function has a graph symmetric about the origin?
An even function has reflection symmetry about the y-axis. An odd function has rotational symmetry about the origin. We can decide algebraically if a function is even, odd or neither by replacing x by -x and computing f(-x). If f(-x) f(x), the function is even.
