3.1.1 Curves of the 2-nd order

Problem: The vertex of the parabola coincides with one of the foci of the hyperbola \( 9 x^{2}-16 y^{2}=144 \). Find the equation of the parabola if it is known that it's directrix passes through the points \( (-4 ;-3) \) and \( (-4 ; 3) \).