Find the asymptotes both negative and positive

Question

Find the center, vertices, foci, and the equations of the asymptotes of the hyperbola. (If an answer does not exist, enter DNE.)

x² − y² = 1

Wouldn't the asymptotes just be -x and x? For the negative and positive slope?

Answer 1

The asymptotes definition is:

y = ±(a/b)(x-h)+k

For x² − y² = 1, a=b=1, h=k=0

So, to answer you equation, yes.

y = ±x