# Tagged Questions

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I want to determine, to which type the following Conic sections belong to: \begin{align} \textrm{(i)}&\quad-8x^2+12xy-6x+8y^2-18y+8=0\\ \textrm{(ii)}&\quad5x^2-8xy+2x+5y^2+2y+1=0 ... 2answers 37 views ### What are the parameters of a parabola In the following figure I understand the bx+c part. It is simply the equation of a line. But I don't understand where did ax^2 came from? What exactly is it? What does a tell us about a ... 2answers 1k views ### Finding vertex and focus of parabola given an equation I am defeated to complete square on the following parabolic equation. Please help. Find the vertex and focal width for the parabola: x^2+6x+8y+1=0  I am hoping to get an equation in this form ...
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In a quadratic function: coefficient $a$ controls the speed of increase/decrease from the vertex. coefficient $b$ controls the downward slope as the function crosses the y-axis. I don't really ...
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### Sample Code to Generate Points on the Rim of a Randomly Rotated Cone : What's Going On Here?

Related to this question: http://math.stackexchange.com/questions/407897/randomly-generate-point-on-shell-from-3-points-2-angles-with-uniform-angle-dis I'm trying to reverse engineer the ...
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### Is it possible to find out $x^2$ parabola and function from 3 given points?

I am programming a ball falling down from a cliff and bouncing back. The physics can be ignored and I want to use a simple $y = ax^2$ parabola to draw the falling ball. I have given two points, the ...