In parabola, give any example of a quadratic equation which doesnot touches the x-axis and y-axis

Answer 1

here is an example

(Good ol' Wolfram, one of my favourite webpages, never fails to amaze me)

I started with

x^2 + y^2 - 8x - 8y - 2xy = 0

http://www.wolframalpha.com/input/?i=plot+x%5E2+%2B+y%5E2+-+8x+-+8y+-+2xy+%3D+0+

As you can see it cuts both the x and the y axes
so I tweeted it and came up with

http://www.wolframalpha.com/input/?i=plot+%28x-3%29%5E2+%2B+%28y-3%29%5E2+-+4%28x-3%29+-+4%28y-3%29+-+2%28x-3%29%28y-3%29+%3D+0
using the equation:
(x-3)^2 + (y-3)^2 - 4(x-3) - 4(y-3) - 2(x-3)(y-3) = 0

which is just a translation of my first of
3 units to the right , and 3 units up

Answer 2

I also changed the coefficients of the x and y terms from 8 to 4, while toying with the shape and forgot to change them back, the concept is still there