00:01
So if we want to go ahead and sketch this function 3 to the xx2 plus 3, you can see how i already have number 13 on here, which is just 3 to the x.
00:12
And other than just us like plug it in some random numbers and hoping we get like a decent kind of sketch of it, what normally is a good idea is to sketch the parent function, which in this case is just going to be 3 to the x.
00:24
And then you can use that along with some transformations to just kind of bootstrap yourself to the new graph.
00:30
Because notice over here on the left we're starting with f of x and then on the right this is going to be well it's f of x and then we have x minus two instead of x and then we're adding three on the outside so what this does if we subtract two on the inside of the function that is going to be a shift two to the right and then if we add three on the outside that's still going to be a shift but now we're shifting three up so we can just take all these points and then kind of make the shifts.
01:04
So negative 2 becomes 0.
01:07
Negative 1 becomes 1.
01:10
0 becomes 2.
01:12
1 becomes 3 and 2 becomes 4.
01:14
And then all of these, we're just going to add 3 to it.
01:17
So this would be 3 .1 repeating, 3 .3, repeating, 4, 6, and 12.
01:27
So these are going to be the points we're going to end up plotting down...