CPM Homework Help : A2C Problem 13-78

For each of the following equations, identify the curve, write the equation in graphing form, and describe any of the following terms that apply: center, vertex or vertices, and asymptotes. Homework Help ✎
1. x² − 16y² − 32^y = 160
2. y²− 2y + 3x = 5
3. 16 + 6x − x² − y² = 0

Answer (a):

$\frac{x^2}{16}-\frac{(y+1)^2}{9}=1$

$\text{Asymptotes: }y=\pm\frac{4}{3}x-1$

Center: (0, −1)
Vertices: (± 4, − 1)

Hint (b):

$x=-\frac{1}{3}(y-1)^2+2$

Hint (c):

See part (a).