The original coordinates of JKL:
J(-3, -3), K(-4, 2) and L(2,1)
First, it is translated by the algebraic rule (x,y)->(x+2, y-3):
J(-3, -3)-> J'(-3+2, -3-3)=J'(-1, -6)
K(-4, 2) -> K'(-4+2, 2-3)= K'(-2, -1)
L(2,1) -> L'(2+2, 1-3)= L'(4, -2)
Then, this image is translated by (x,y)-> (x-2, y-1)
J'(-1, -6) -> J''(-1-2, -6-1) = J''(-3, -7)
K'(-2, -1) -> K''(-2-2, -1-1)= K''(-4, -2)
L'(4, -2) -> L''(4-2, -2-1)= L''( 2, -3)
Coordinates for triangle J''K''L'':
J''(-3, -7), K''(-4, -2) and L''( 2, -3)
2. To find algebraic rule that represents JKL to J''K''L'':