00:01
Now, jonathan, you have the f of x is equal to x squared minus 2x, minus 3.
00:06
And it says, on your paper, show your work by completing, and you want to write this in vertex form.
00:13
Okay, so let's find this in vertex form.
00:16
I'm sure you're completing the square.
00:18
All right, let's complete the square.
00:20
So for this, we have x squared minus 2x, and we can leave this minus 3 right over there.
00:30
But the number that we want to make this a perfect squares, we want this to be a 1 plus 1, and that means we have to do a minus 1.
00:38
So this becomes x minus 1 quantity squared and then minus 4.
00:44
That is our vertex form.
00:49
And so we have our domain is a set of x such that x is a member of the reels.
01:00
Our range, and i don't know how to.
01:05
You're supposed to write this in what form, but that would be i'll consider it y, such that.
01:11
And the low point will be at negative 4, that y is greater than or equal to negative 4.
01:18
The zeros, well, if we want the zeros, i believe you want those written as ordered pairs.
01:24
Let's go back up here.
01:26
And let's write this in factored form...