00:01
Okay, here if i work out f of negative x and see what happens.
00:06
I get 4 negative x power 5 minus 2 times negative x.
00:16
Replace x by minus x.
00:19
That becomes minus 4x to the 5 plus 2x.
00:25
I can see that is the same as minus f of x.
00:32
And if that's the case, this implies an odd function.
00:39
So it has symmetry about the origin.
00:44
If i rotate the graph around through 180 degrees, i get the same function.
00:51
So the answer here is odd.
00:54
Now, the next part here, we have this diagram and some key points.
01:06
Here is 1 .1 .3 .2.
01:12
And minus 2, 4.
01:17
And that's f of x.
01:19
You're transforming it to f of x minus 1 minus 2.
01:26
Now this is a translation.
01:29
So what's happening here is translation...