This is an interesting problem, namely because the parabola's axis is not parallel to an x-y axis. We are used to dealing with conics in this form. However, using the definition of a parabola (distance to a point on the parabola is the same from a fixed point called the focus and a fixed line called the directrix), one can develop a hairy formula for a general parabola. Plugging in and solving for some variables, I got a possible focus to be (1,0) and a possible directrix of x-2y=0. The axis of the parabola then must be 2x+y=2, and the vertex (9/10,7/10). There could be more answers, but I didn't check. If you want me to look more into this problem or write a formal proof, I'll consider it.
–
Bob Krueger
·
3 years, 10 months ago

Log in to reply

your in level four of geometry...please give it a try at least....it does not need much perspiration...best of luck ....:)
–
Raja Metronetizen
·
3 years, 10 months ago

Log in to reply

@Raja Metronetizen
–
Dude this is already done... but i liked this problem very much that's why posted that..
–
Advitiya Brijesh
·
3 years, 10 months ago

## Comments

Sort by:

TopNewestThis is an interesting problem, namely because the parabola's axis is not parallel to an x-y axis. We are used to dealing with conics in this form. However, using the definition of a parabola (distance to a point on the parabola is the same from a fixed point called the focus and a fixed line called the directrix), one can develop a hairy formula for a general parabola. Plugging in and solving for some variables, I got a possible focus to be (1,0) and a possible directrix of x-2y=0. The axis of the parabola then must be 2x+y=2, and the vertex (9/10,7/10). There could be more answers, but I didn't check. If you want me to look more into this problem or write a formal proof, I'll consider it. – Bob Krueger · 3 years, 10 months ago

Log in to reply

your in level four of geometry...please give it a try at least....it does not need much perspiration...best of luck ....:) – Raja Metronetizen · 3 years, 10 months ago

Log in to reply

– Advitiya Brijesh · 3 years, 10 months ago

Dude this is already done... but i liked this problem very much that's why posted that..Log in to reply