X6522Y92 Find the endpoints of the lactus rectumSolution x 6

(X+6/5)^2=2(Y+9/2)

Find the endpoints of the lactus rectum

( x+ 6/5)^2 = 2 ( y+9/2)

vertex of parabola is

-6/5 , -9/2

standard equation of parabola is

(x-h)^2 = 4p(y-k)

4p = 2

p = 2/4 = 1/2

focus = ( h , k+p) = ( -6/5 , - 4 )

length of latus rectum = 4p = 2

hence , endpoints of latus rectum are

(-11/5 , - 4 ) and ( -1/5 , - 4 )