Question

The equation ^2 − 4 − 4^2 + 13 = 0 will produce a hyperbola. In what directions do the branches of this hyperbola open? How do you know? Explain.

Answer 1

Solution:

Given the equation of the hyperbola;

$y^2-4y-4x^2+13=0$

ANSWER: The hyperbola opens left and right. If the y term has the minus sign, then the hyperbola will open left and right.