HW 2.4.2: Using Matrices to Model Conics General Form for all Conics: Ax' + Bxy+ Cy' + Dx + Ey+ F=0, the Bxy term creates a rotated conic. Write the Conic in General Form by using Matrices. On questions 1-5 the conics are not rotated so the Bxy term is not needed. Calculators are allowed. 1.) Find the equation for a circle containing (-1,1), (2,3), and (4,2). Remember that on a circle A and C are equal, in order to solve with a Matrix set A and C equal to 1. 2.) Find the equation of the circle that passes through (-3,1), (5,-1), (2,-4), and (0,-4). You do not need to use all 4 points. 3.) Find the equation for a parabola containing (1,3), (5,1), and (8,4). This is a vertical parabola so the C value is 0, set the A value equal to 1 to solve. 4.) Find the equation for a parabola containing (1,3), (5,1), and (8,4). This is a horizontal parabola so the A value is 0, set the C value equal to 1 to solve. 5.) Find the equation for an ellipse containing (2,4), (6,2), (3,3), and (4,8). Set the A value equal to 1 and solve for C, D, E, and F