we know that
statements
case a) the center is located at (0,0)?
the statement is true
case b) There is a vertex at (-6,0)?
the statement is true.
There is a vertex at (-6,0) and at (6,0)
case c) The transverse axis of the graphs is vertical
The statement is not true
The line joining the vertices is called the transverse axis and the line perpendicular to this is called the conjugate axis.
in this case the transverse axis is horizontal and the conjugate axis is vertical
case d) The foci are located within the rectangular reference box
The statement is not true
The foci are outside the rectangular reference box
case e)The directices are vertical lines
The statement is true