00:01
Going to start off with some basic things that we would do for our quadratic.
00:03
So some things that we like to do is let's find the y -intercept, for example.
00:07
Y -intercept is always when x equals 0, which is going to be really easy in this case because it's just going to end up being negative 12.
00:13
Because i plug in 0 here and 0 here, it all zeros out and i'm just left with a negative 12.
00:19
Another thing we want to do is find the vertex.
00:22
We can find the vertex by taking x equals negative negative b over 2a.
00:26
That's going to, well, i should say this.
00:27
Instead of vertex, this is going to be my axis of symmetry.
00:31
So in this case, it's going to be negative 6 divided by 2 times a negative 1, which is negative 6 over negative 2.
00:39
So x equals a positive 3 is my axis of symmetry.
00:43
Now to find the vertex, i'm going to use my axis symmetry, plug it back in.
00:48
So i'm going to find g g of 3 here.
00:50
So it's negative 3 squared plus 6 times 3 minus 12.
00:55
So g of 3 is going to be a negative 9 plus 18 minus 12.
01:00
And then i get g of 3 is going to equal to a negative 3 in the end.
01:05
So my vertex is the point 3, negative 3...