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Hetware
Posts:
148
Registered:
4/13/13


Re: How would you find the parabolas determined by points {1,2}, {1,1}, {2,1}?
Posted:
Jan 5, 2014 10:43 PM


On 1/5/2014 10:21 PM, Hetware wrote: > Given the three points (1,2), (1,1), and (2,1). (a) Find a parabola > passing through the given points having its axis parallel to the xaxis. > (b) Find a parabola passing through the given points having its axis > parallel to the yaxis. > > I set up the equation > > (yk)^2=4p(xh) > > and substituted the given ordered pairs and crunched the numbers. It > became (rather) messy, but I arrived at the given solution. I'm > wondering if there is a more efficient approach to the problem. > > Answers: > > 7(y^2)3y+6x16=0 > 7(x^2)9x6y4=0
Sorry. I neglected to give credit. The problem is from Thomas, Calculus and Analytic Geometry, 1953.



