we have the coordinates
B (-6,-1) E (-3, -2) A (-1,-5) R (-4, -7) S (-7, -4)
the transformation has the rule
(x,y) ------> (x+6,y+8)
that means
translation 6 units at right and 8 units up
so
Applying the rule to the given coordinates
B (-6,-1) --------> B'(-6+6,-1+8)
B'(0,7)
E (-3, -2) ------> E'(-3+6,-2+8)
E'(3,6)
A (-1,-5) ------> A'(-1+6,-5+8)
A'(5,3)
R (-4, -7) ------> R'(-4+6,-7+8)
R'(2,1)
S (-7, -4) -----> S'(-7+6,-4+8)
S'(-1,4)
step 2
Draw the image of the figure
using a graphing tool
see the attached figure
please wait a minute to draw the figure