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Author Topic: Urgent Need help with this question  (Read 574 times)  Share 

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ROFLXD

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Urgent Need help with this question
« on: May 08, 2012, 09:30:59 pm »
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« Last Edit: May 08, 2012, 09:41:30 pm by ROFLXD »

DisaFear

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Re: Urgent Need help with this question
« Reply #1 on: May 09, 2012, 03:23:19 pm »
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We know the graph passes through the origin (0,0) and the points (2,0)/(-2,0)
We can set up a simultaneous equation to find the equation of the parabolas. Let's tackle the right parabola first



Substitute in one set of coordinates




Substitute in the other set of points




Substitute (2) into (1) and the formula of the right parabola reveals itself to be:



Repeat the same process for the other parabola, or use your tranformation skillz. The equation of the left parabola should be



Now, the height of the parabola will be the y coordinate of that point. I don't think you've covered calculus yet, so convert the formulas of the parabolas into turning point form (sorry, I've forgotten how to do it! I'm sure you can do it :P) and you can read the turning point from there. You should get (1,2) for the turning point, so the height is 2 units.

We want to restrict these parabolas, so that they run from (0,0) to (2,0) and (-2,0), and not continue on forever.
The domain of the right parabola would be [0,2] and the domain of the left parabola would be [-2,0]

For the 'W' parabola, same thing. Try it yourself. You are given, for each parabola, two sets of coordinates: the one with the 3 in it, and the y-intercept, which we know to be (0,9)





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