00:01
Alright, so we are finding the vertex point, the vertex form, the x intercepts, and the y intercepts for the following equation.
00:09
So what i need to know is my a value, which is negative 6, and i need to know my b value, which is negative 12.
00:24
From there, i can find my h by using my formula, so negative of my b, so negative negative 12, divide our by 2 times negative 6.
00:35
So negative of a negative 12 is a positive 12 divided by negative 12 is a negative 1.
00:43
Then to find my k, i'm just going to stick negative 1 back into my formula.
00:50
So negative 6 times negative 1 squared, negative 1 times negative 6 is negative 6.
00:58
12 times a negative 1 is a positive 12.
01:01
So i'm currently at a positive.
01:02
6 minus 8 gives me a negative 2.
01:10
So my vertex is at negative 1 and negative 2.
01:19
And my vertex form would be a, which is negative 6, bracket x minus h, so x minus a negative 1.
01:29
So that turns into x plus 1.
01:31
And then plus k, so minus 2.
01:37
And then i'm going to find my x and y intercepts.
01:40
I'm going to go back to the original equation for this.
01:43
So i'm going to substitute in a 0 for x.
01:47
Gives me negative 6 times 0 square, which is 0, minus 12 times 0, which is 0, minus 8, which is negative 8.
01:58
So we've got a y intercept at 0 and negative 8.
02:05
And then for our last step we need to find our x intercept.
02:10
So we're going to make our equation equal to 0 and go through factoring.
02:17
So my first step is always to try to take out something that is common.
02:21
In this case i can take out a 2 from everything...