Answer:
(6,-13)
Step-by-step explanation:
We just have to substitute the given point into the transformation rule and simplify.
The rule is [tex](x,y)\to (x+2,y-8)[/tex].
We want to find the coordinates of B' if B has coordinates (4,-5).
We substitute x=4 and y=-5.
[tex]B(4,-5)\to B'(4+2,-5-8)[/tex].
Simplify to get:
[tex]B(4,-5)\to B'(6,-13)[/tex].
The last option is correct.
