3.1.22 Curves of the 2nd order
condition: Bring the equation of the curve \( x^{2}=2 y+x+1 \) to canonical form and construct this curve.
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.