An ellipse or hyperbola uses the general form Ax² + Cy² + 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 + Cy² + Dx+ Ey+ F = 0
Given 4 points on a vertical ellipse (3.75, 0), (0, 2.71), (1, -7), and (-1, -5.725). Select the missing
coefficients (answers have been rounded to the nearest tenth).
y² +-1.0
x² +
2.2
.8
Question 6
y+
-6.2
# x+
= 0
6 pts
