00:01
So in this problem, we're given the graph of a function, and what we want to do first is to identify the parent function.
00:06
Well, this looks like our cube function, or our cube function.
00:09
So our parent function in this case is going to be y equals x to the third.
00:12
So i'm going to go ahead and graph y equals x to the third in green.
00:16
So if we've substituted zero for x, we'd still get zero.
00:19
When we plug in 1, 1 to the 3rd is 1.
00:21
When we plug in negative 1, we get negative 1.
00:25
So remember, our y equals x to the 3 graph looks something like this.
00:30
So now we need to see how do we get this new graph? well, first off, notice that our original function starts off by increasing, and this one's decreasing, where it means that it was reflected over the x -axis.
00:42
So one thing we have is that there's a reflection in the x -axis...