00:01
So in this problem, excuse me, we're being asked to graph ff x is equal to x squared minus 1.
00:06
Now, before we do that, we might want to graph our parent function, y equals x squared, as they mentioned.
00:12
So let's say, i'm going to do this one in blue, y equals x squared.
00:15
Remember, this is our quadratic function.
00:17
The graph looks like a parabola, whose original point or our vertex starts at 0 ,0, and then in both directions, we go up 1 and over 1.
00:26
From there we're going to go up three and over one so at two four and negative two four so this is what our y equals x squared function looks like notice it's a problem it's symmetric over the y axis so now what we want to do is use our transformations to graph f fx is equal to x squared minus one well think about what this equation is saying we're taking that apparent function x squared and we're subtracting one from it which means that each of our y values will decrease by one in other words, we're going to shift this graph down 1.
00:56
So instead of being at 0 -0, 0, we're at 0 -0.
00:59
Instead of being at 1 -1, we're at 1 -0, and then instead of being at negative -1 -1, we're at negative -10.
01:06
2 -4 will go down to 2 -3, and negative -24 will go down to negative -2 -3...