$\"\"$

The standard form of hyperbola centered at origin (where $\"\"$ ) is

$\"\"$ (Transverse axis is horizontal) or $\"\"$ (Transverse axis is vertical).

$\"\"$

The vertices of the hyperbola are $\"\"$ and its foci are $\"\"$ .

Since the vertices and foci are the x - intercepts, the transverse axis is horizontal and the denominator of $\"\"$ - term is $\"\"$ .

Consider $\"\"$ .

Substitute the values of $\"\"$ and $\"\"$ in above equation. \ \

$\"\"$

$\"\"$ . \ \

Substitute the values of $\"\"$ and $\"\"$ in $\"\"$ .

$\"\"$

The standard form of the hyperbola is $\"\"$ . $\"\"$

The standard form of the hyperbola is $\"\"$ .