00:01
For this problem, we are asked to, without graphing, determine whether the following curve is symmetric with respect to the x -axis, the y -axis, and the origin.
00:09
So, for determining symmetry about the x -axis, we need to think, well, we'd have a particular x -value, particular y -value would be 4x squared, and to have symmetry about the x -axis, we'd need to have that for a particular x -value.
00:24
We have a, actually i'll write it this way, we have a point on the curve ab, we should have a corresponding point on the curve a negative b.
00:36
Well, we can see that this function will only give, this only ever gives a single x value for each y value.
00:44
So it can't be symmetric with respect to the x axis...