How do you graph the conic #16x^2-24xy+9y^2-60x-80y+100=0# by first rotations the axis and eliminating the xy term?
1 Answer
Nov 21, 2016
The axis: Parallel to 4x-3y=0, The tangent at the vertex:parallel to 3x+4y-10=0. The graph is inserted for direct view on which is which.
Explanation:
The second degree terms form a perfect square. So, the conic is a
parabola.
When reorganized to the standard form,
This form reveals that
The axis: Parallel to 4x-3y=0,
The tangent at the vertex:parallel to 3x+4y-10=0.
I expect in other answers the rotation method.
graph{(4x-3y)^2-20(3x+4y-10)=0 [-20, 20, -10, 10]}