00:01
Let's write the standard form of the equation of a parabola.
00:05
So let's recall what that means.
00:07
Standard form, a times, now we have parentheses x minus h squared plus k, and this is where the vertex is given by the point h comma k.
00:23
We're given in our example that the vertex is 2, 3.
00:29
So let's go ahead and plug those into our formula over here.
00:33
We can update our f equation.
00:36
So now that becomes x minus 2, oops, x minus 2 squared and then plus k, which is now 3.
00:49
We still need to find a, and the way we'll do that is we'll use the fact that our graph passes through the point 02.
00:58
What that means is that if you plug in 0 for x, your y values 2.
01:03
So let's use that fact.
01:06
We'll come over here and we'll plug in x equals 0.
01:09
So that gives you a 0 minus 2 squared plus 3...