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| Parabola | ||||||||||||||||
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| Determine the parabola equation if this function has on point (4,7), its vertex (4,-2) Solution: Since both the vertex and the focus lie at equal absisca then the general parabola equation should be : (x-a)^2=2p*(y-b) where (a,b)=its vertex its focus F(a,b+p/2) its vertex (4,-2)=(a,b) means a=4 b=-2 p=parameter=a half distance between its vertex and its focus. p=[7-(-2)]/2=9/2 the solution should be : (x-4)^2=9*(y+2) |
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