Parabola Question
Okay, so do you know what to do first?
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.
I don't intend to do that, I know how badly that will mess you up.
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?
Okay! The only idea I have would be to take the square root of it- but that doesn't sound right.
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.
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?
\[y=\sqrt{-2/7x}\] So/that/ is okay to continue?
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.
So.. would it open up to the right? I'm probably mixing them up so - open up to quadrant 2?
It opens to the left, actually
So quadrant 2, yes.
Aha! I knew I would mix em up.
What's the next step? As it still has a root over it. (I really appreciate you walking me though this..!)
Before we go to the next step, we should look at our answers and see which ones it can or cannot be.
The second or third answer can't be it, as they open the wrong way.
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.
I'm not too sure. How exactly can I tell? It would honestly be a 50/50 guess.
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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