Most of a message to me
... my friend ... and I have been working on the first homework question literally for hours, and havent gotten very far, except I've written a few equations taking up an entire page that have gotten us literally nowhere. ... Is there anything you can tell us to get us on the right track? Thanks!
Errr ... it should not be THAT hard. The most important thing, and I am serious, is to realize that there are many, many letters in the alphabet. You should NOT use x and y to mean more than one quantity, and it would be very, very good to use other letters so you know what you are talking about.
So I might begin in the following way: Suppose P is a point on the left parabola (opening up), and P has coordinates (a,b). Suppose Q is a point on the right-hand parabola, opening down, and Q has coordinates (c,d). Suppose the slope of the left parabola at P is m and the slope of the right parabola at Q is n. Lots of letters: a and b and c and d and m and n.
Now, what do we want?
Let me know if this helps, please.
Thanks for writing.
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