MathProblemsBank

3.1.17 Curves of the 2 -nd Order

Condition: using the parallel transfer and rotation of the coordinate system, bring the line equation to the canonical appearance and build a graph of this line. \ [7 x^{2} +6 x y-y^{2} +28 x+12 y+28 = 0 \]

Study of Curves of the Second Order and Their Characteristics. Ellipse, Hyperbola, Parabola. Finding EcCentricities, Foci, Focal Radii, Major and Minor Axes, Including Imaginary, Canonical Equations and Plotting.