00:01
We want to rewrite our quadratic here in vertex form.
00:04
So let's go ahead and just figure out what the vertex is for this, because i don't want to have to use completing the square to do it.
00:19
So remember, we can get h by doing negative b over 2a, and a and b are going to be the x squared's coefficient, and just the x coefficient respectively.
00:35
So we're going to have negative negative 3 over 2 times 2, which is 4.
00:42
So the negatives there cancel out, and we're going to have 3 .4s or h.
00:48
Now remember to find k.
00:50
This is just going to be f of h.
00:53
So we're going to plug in 3 .4s.
00:58
And so doing that, we'd get 2 times 3 .4s.
01:03
Minus 3 times 3 4 plus 1 and then 3 4 squared times 2 is going to be 9 8s and then we'll have minus 9 force plus 1.
01:31
Now adding all of these up should give us negative 1 8th...