Answer
(a) Vertices: $V(±1,0)$
Foci: $F(±\sqrt {2},0)$,
Asymptotes: $y=±x$
(b)
Length of the transverse axis:
$2a=2$
Work Step by Step
$\frac{x^2}{1}-\frac{y^2}{1}=1$
Hyperbola with horizontal transverse axis:
$\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$
$a^2=1$
$a=1$
$b^2=1$
$b=1$
$c^2=a^2+b^2=1+1=1$
$c=\sqrt {2}$
(a) Vertices: $V(±a,0)=V(±1,0)$
Foci: $F(±c,0)=F(±\sqrt {2},0)$,
Asymptotes: $y=±\frac{b}{a}x=±\frac{1}{1}x=±x$
(b)
Length of the transverse axis:
$2a=2$
