Question

Write the equation in standard form and show work

Answer 1

-4x² + 9y² + 32x + 36y - 64 = 0

4x² - 9y² - 32x - 36y + 64 = 0

4x² - 32x - (9y² + 36y) = -64

4(x² - 8x + 16) - 9(y² + 4y + 4) = -36

4(x - 4)² - 9(y + 2)² = -36

9(y + 2)² - 4(x - 4)² = 36

(y + 2)²/4 - (x - 4)²/9 = 1