00:05
So in this question, we're trying to see whether two equations have symmetry about the x -axis, y -axis, origin, or none of them.
00:15
It's a lot easier to see this graphically, so i graphed both functions in desmos.
00:20
The first one here in green is y -squared plus x minus 2 equals 0.
00:25
So to check whether this has axis about the, or symmetry about the y -axis, i'm going to look at where my y -axis is, which is right here.
00:35
And if i look at the left and right side of this, i do not have the same thing on the left and the right.
00:42
So it does not have symmetry about the y -axis.
00:47
If i look at the x -axis, which is this one right here, this graph is the same.
00:53
It's a reflection on the top and on the bottom.
00:56
So it does have symmetry about the x -axis.
01:00
So there is x -axis symmetry.
01:07
And in order for it to have symmetry about the origin, it has to have symmetry about the x -axis and the y -axis at the same time...