The required line that represents the directrix of the hyperbola is the Dotted purple colored line.
The figure is shown the directrix of the hyperbola is to determine.
What is hyperbola?
Hyperbola is cross section cut out from the cone , the standard equation of the hyperbola is ( x - h )² / a² + ( y - k )² / b² = 1. Where h and k is the center coordinate of hyperbola, a and b is length of major and minor axis
From the image, the hyperbola has its foci at (3, 2.2) and (3, -6.2).
And the position of the directrix corresponding to the foci is (3, -0.2) and (3, -6.2). A purple dotted line contains these points i.e. it represents the directrix of the hyperbola.
Thus, the required line that represents the directrix of the hyperbola is the Dotted purple colored line.
Learn more about hyperbola here:
brainly.com/question/12919612
#SPJ2
