00:01
So if you have some background knowledge on the graph of x, y equals 4, what you could actually do is just divide the x over.
00:11
And so the graph of this looks like this.
00:17
Very lame graph, but it's pretty clear that it has origin symmetry because it's rotated around the origin.
00:26
Like this point rotates down here.
00:29
So that'll be the correct answer, but let's show the work as to why.
00:33
What you can do is do the y -axis symmetry, which is negating x.
00:42
And so when you do that, so i'm only changing the sign of x and y stays the same, negative x times y is still negative x -y.
00:51
And what happens is that is not the same as the original problem, not the same, so it does not have that kind of symmetry.
01:00
So i'll put a big old x through the y -axis.
01:04
Now, if you do the origin symmetry, which i already said is correct, you negate both, negate x and y...