Precalculus
posted by billy .
1. The graph of the equation y = x2 – 3 is symmetric with respect to which of the following? The answer is the yaxis . why?
2.The graph of an odd function is symmetric with respect to which of the following? the origin is the answer, why ?

1. symmetric about the yaxis because f(x) = f(x).
That is, if you pick a point on the graph, flip it about the yaxis, you land on another point on the graph.
2. odd function means f(x) = f(x)
Same thinking as above, but (x,y) is matched by (x,y). Join the points, and the midpoint of the line is (0,0).