A conic is a plane curve with an equation of this form: ax²+bxy+cy²+dx+ey+f=0. Find a plane conic that goes through the points (2,8), (-4,4), (4,0), (-6,-2), and (0,-2).

Use the "conic through 5 points" tool on GeoGebra (go to "Tools" and click "More" to find it) to check your answer.