CPM Homework Help : A2C Problem 13-125

For each of the following equations, identify the curve, write the equation in graphing form, and list the following information: center, focus or foci, and asymptotes. Refer to the Math Notes boxes in Lessons 11.2.2, 11.2.4, and 11.2.6 for definitions. Homework Help ✎
1. 2x² + y² − 4x + 6y − 7 = 0
2. 3y² − x² + 12y = 0
3. 12x² + 8y² + 48x − 48y + 24 = 0

Answer (a):

$\frac{(x-1)^2}{9}+\frac{(y+3)^2}{18}=1$

Center: (1, − 3)
Foci: (1, 0) and (1, −6)

Hint (b):

$\frac{(y+2)^2}{4}-\frac{x^2}{12}=1$

Now find the center, foci and asymptotes.

Hint (c):

See parts (a) and (b).