Assignment:
Transform each equation to standard form. Then find the center, foci, major and minor axes, and ends of each latus rectum. Draw the curve
1. 4x^2 + y^2 + 8x - 4y - 8 = 0
2. 16x^2 + 25y^2 + 160x + 200y + 400 = 0
3. 9x^2 + 4y^2 - 36x + 8y + 31 = 0
4. 4x^2 + 9y^2 - 16x + 18y - 11 = 0
5. 25(x + 1)^2 + 169(y - 2)^2 = 4225
Provide complete and step by step solution for the question and show calculations and use formulas.