00:01
So for this question, they're giving us a graph of a function, f of x, and then a transformation occurred and we got g of x.
00:09
And i want to figure out what the equation for g of x is.
00:13
So my original parent function, we know as a quadratic, it's x squared.
00:21
The first thing i notice is that it flipped over.
00:24
It's actually going downward.
00:26
So i know my leading coefficient has to be negative to flip it.
00:31
And my leading coefficient in this case would be a.
00:35
So my general formula would be a, x minus h, which is left and right, squared, plus k, which is up and down.
00:46
So i'm going to look at first thing.
00:48
My a has to be negative because it flipped upside down.
00:51
And then i'm going to look where my vertex was, so it was at zero, zero, and now my vertex looks like it's at one, two, three, four...