According to the meaning of the question, the parabolic equation is: y 2 =-2px (p > 0)

And point M (-2/3, two 6/3) is on a parabola, so 24/9 =-2p *(2/3).

P=2, so the directrix of parabola is x=p/2= 1.

So the half focal length of the ellipse c= 1.

So a 2-b 2 = c 2 = 1 ①.

Point m (-2/3,26/3) is on an ellipse, so

4/(9a^2)+24/(9b^2)= 1 ②

Simultaneous ① ② and a>b>0 solutions

B= root number 3 a=2

So the elliptic equation is: x 2/4+y 2/3 =1.