00:03
We're told that our parabola has a vertex at 1 .3, and we're asked which of the following could be the equation of that.
00:11
Okay, so with a vertex at 1 .3, if we think about our general form, for vertex form, it's a times x minus h squared plus k.
00:22
And that's when it's centered at h comma k.
00:26
So really anything in the form, doesn't matter what a is.
00:28
I'm just going to leave that as an a there.
00:30
But it has to be x minus the x value, so x minus.
00:33
One squared and then plus three.
00:36
And when we look at the ones that have y equals, they're both x plus.
00:42
So that means that we don't have a y equals.
00:45
That means that we have an x equals parabola.
00:47
And what that means is we're going to have this one flipped on its side and we know its vertex is over one and up three and it's going to open up.
00:57
It's a positive, so it'll open up to the right.
01:00
So we have one that looks like that.
01:02
So now we have a to do is change this.
01:05
What happens if instead it's x is equal to a times and it's y minus h squared and then plus k.
01:15
Okay.
01:16
So now we do the same basic idea and we can go ahead and substitute in our values here...