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Math Help - Parabola graph question

  1. #1
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    Parabola graph question

    A graph of . The two points and lie on this graph. The normals at and intersect at the point . Find the points and on the graph of the inverse
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  2. #2
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    Quote Originally Posted by usagi_killer View Post
    A graph of . The two points and lie on this graph. The normals at and intersect at the point . Find the points and on the graph of the inverse
    ?? You said P and Q lie on x= y^2 then you say "Find P and Q on the graph of the inverse y= x^2.

    If P= (10p, 5p^2) is on x= y^2 then we must have 10p= 25p^4 so either p= 0 or 10= 25p^3, p^3= \frac{2}{5}. If it were on y= x^2, then we would have to have 5p^2= 100p^2 which is only true for p= 0. Since R is not given I see no information derived from "the normals at P and Q intersect at R" except that they do intersect and are not parallel. The only way I could make any sense out of this is to say that P= Q= (0,0).
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