### Home > A2C > Chapter 13 > Lesson 13.1.4 > Problem13-78

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.

1. $x^{2} − 16y^{2} − 32^{y} = 160$

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

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

Center: $(0, −1)$
Vertices: $\left(± 4, − 1\right)$

1. $y^{2}− 2y + 3x = 5$

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

1. $16 + 6x − x^{2} − y^{2} = 0$

• See part (a).