00:02
To find a maximum or minimum value, you want to locate the vertex of your parabola.
00:09
To get the x coordinate, you take opposite of b over 2a.
00:15
To get the y coordinate, you plug that opposite of b over 2a value into your function.
00:23
So for the first one, we want the x coordinate to be opposite of b or 12.
00:33
Over 2a, 2 times 6.
00:37
That gives us 1.
00:40
Then we want to find f of 1, which gives us 6 times 1 squared minus 12 times 1 minus 170.
00:51
So that's 6 minus 12 minus 170, which is going to give us negative 17.
01:01
So the value that goes in that first box is the coordinate 1 negative 176.
01:12
That value is a minimum, and that's because the parabola has a positive leading coefficient, so it opens upward.
01:24
For this next one, g of x, we have 100x squared minus 1 ,300.
01:33
So again, we find the vertex opposite of b, so 1 ,300 over 2a.
01:43
So that's 1 ,300 over 200.
01:49
That gives me 6 .5.
01:54
Now find g of 6 .5.
01:58
So square 6 .5 times 100...