00:01
So in this problem, we're given the graphs of two functions.
00:03
F is in red and g is in blue.
00:05
So in part a of this problem, what we want to do is to write a function for our g of x function in terms of f of x.
00:12
So that means we have to figure out how did we get from our f function to our g function? well, first off, i see that we slid over two units to the left, so we went left two.
00:21
And this graph got reflected over the x axis.
00:24
Notice that it flipped over.
00:25
So reflected over the x axis.
00:30
So reflect, hold on one second here, there we go.
00:34
So reflect over the x -axis.
00:37
So if you're thinking about your transformations, we're going to have two different transformations that happened here.
00:42
So what we want to do is write our g function in terms of f.
00:46
So first off, we have to show that it got shifted to the left two units.
00:51
So that means all of our x values before we actually plugged them into our function got added by two...