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Mathematics 7 Online
OpenStudy (anonymous):

Parabola Question

OpenStudy (anonymous):

OpenStudy (anonymous):

Okay, so do you know what to do first?

OpenStudy (anonymous):

No~ However if you walk me though it I'm willing to do the math. (: I have several problems like this so handing me the answer is pointless.

OpenStudy (anonymous):

I don't intend to do that, I know how badly that will mess you up.

OpenStudy (anonymous):

So, first, we're going to make it so that it's in a y= format not a y^2= does that make sense to you?

OpenStudy (anonymous):

Okay! The only idea I have would be to take the square root of it- but that doesn't sound right.

OpenStudy (anonymous):

That is what you do. And I know it doesn't sound right, but we must have it down to a y=, this will end up having the square root of the rest, but if you look at the answers it makes sense.

OpenStudy (anonymous):

When you graph a square root of an x, it will only open up to one side: left or right, so when looking at the answers, you know you can't have it looking like a basic parabola, does that make sense?

OpenStudy (anonymous):

\[y=\sqrt{-2/7x}\] So/that/ is okay to continue?

OpenStudy (anonymous):

Yes, because it will open up either left or right now which matches the answers and it's in y= format. That is perfect to continue.

OpenStudy (anonymous):

So.. would it open up to the right? I'm probably mixing them up so - open up to quadrant 2?

OpenStudy (anonymous):

It opens to the left, actually

OpenStudy (anonymous):

So quadrant 2, yes.

OpenStudy (anonymous):

Aha! I knew I would mix em up.

OpenStudy (anonymous):

What's the next step? As it still has a root over it. (I really appreciate you walking me though this..!)

OpenStudy (anonymous):

Before we go to the next step, we should look at our answers and see which ones it can or cannot be.

OpenStudy (anonymous):

The second or third answer can't be it, as they open the wrong way.

OpenStudy (anonymous):

Yes, and now, if we look at the points, do you think that x or y is going to be zero. Think about a parabola and how it generally works.

OpenStudy (anonymous):

I'm not too sure. How exactly can I tell? It would honestly be a 50/50 guess.

OpenStudy (anonymous):

Because the graph is a half graph, it will not cross the x-axis in the opposite direction, the grab is opening to the left |dw:1418829528078:dw| and will not go over it.

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