Question

Formulate a strategy for discussing and graphing an equation of the form$A{x}^2+C{y}^2+Dx+Ey+F=0$

Short answer

To graph a conic, identify centre and focus to draw the graph of the equation.

Step-by-step solution

Step 1. Given Information

We need to formulate a strategy for discussing and graphing an equation of the form$A{x}^2+C{y}^2+Dx+Ey+F=0$

Step 2. Strategy for graphing conic

We complete the squares of the quadratic expressions in $x$or $y$, or both. Once this has been done, the conic can be identified by comparing it to one of the forms circle, parabola, ellipse or hyperbola.