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How can i demonstrate that two paraboles are simmetrycal to eachother through a point?

2006-09-08 02:58:05 · 3 answers · asked by anacond14 2 in Science & Mathematics Mathematics

For example.. one way would be to trace a line through that exact point(take it M) and then find out the coordinates of the points the line intersects with the paraboles(S1 and S2 for Parabole 1 & T1 and T2 for Parabole 2). Then demonstrate that M is also the middle of segment S1T1 (or other possible combinations). Any other suggestions?

2006-09-08 03:00:55 · update #1

3 answers

Graph them! The symmetry will be visually obvious.

The page below will make graphs for you such as the parabolas
x^2-2x+1
3x^2+2x+2

2006-09-08 04:25:34 · answer #1 · answered by Mr. E 5 · 0 0

I wish to help u but i cant remember them. And i dont know how i passed them. The only thing i remember about paraboles problem: 'The paraboles are problem'.

2006-09-08 03:16:16 · answer #2 · answered by HOTTürk 4 · 0 0

You could try using Calculus. Finding the formula for the tangent line through point "M." Sorry, that's all I got.

2006-09-08 09:32:43 · answer #3 · answered by Sara 2 · 0 0

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