00:01
Let's say we're given a vertex of a parabola at the coordinate 1 -3, and we're given a point on the parabola as well, 2 -2.
00:09
And we want to find the equation for the parabola that passes through these two points.
00:14
Whenever they give you a vertex, i will suggest using vertex form of a quadratic.
00:19
Vertex form is y equals a, parenthesis, x minus h squared plus k.
00:27
Now, h and k are the x and y coordinates of the vertex.
00:32
So h would be here.
00:34
K would be here.
00:36
And then x and y are points.
00:39
So this point that they give us will be x, y.
00:42
So from here on out, we're just plugging our values in.
00:46
So our y is two.
00:49
We don't know a yet, but we're about to solve for it because we know everything else.
00:53
Our x is two.
00:55
Our h is one.
00:57
We got our square.
00:58
Plus our k of three...