Question 4:

A vertical parabola goes through (1, -2), (-3, 10), and (4, 31). Use matrices to solve for D, E, and F, given the general form x- + y + Dx + Ey + F = 0 (since it is a vertical parabola there is not a y- term). x - + X + V+ = 0An ellipse or hyperbola uses the general form Ax- + Cy + Dx + Ey + F = 0. Solving for 5 unknowns (A, B, C, D, E, F) requires 5 equations, needs 5 points given. But if one of the coefficients is divided out (A or C), then only 4 coefficients remain and only 4 points are needed. x2 + Cy + Dx + Ey + F =0 Given 4 points on a vertical ellipse (-1, 2.517), (0, 1.933), (1, 0.65), and (-4.449, 0). Select the missing coefficients (answers have been rounded to the nearest tenth). x 2 + [ Select ] + [ Select ] x + [ Select ] V+ [ Select ] = 0