Question

find the equation of a hyperbola whose graph is shown:

Answer 1

hyperbola opening left/right
\[\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}} = 1\]
"a" is distance center from vertices .... a = 2
"c" is distance center from foci .... c = 4
\[a^{2} +b^{2} = c^{2}\]
\[b^{2} = 12\]