Answer:
Option B
Step-by-step explanation:
It's given that ΔE'F'G' is the translated image of ΔEFG.
Let the ΔEFG has been translated 'h' units on x-axis and moved by 'k' units on y-axis.
Let's choose a point E having coordinates (-5, -7)
By the rule of translation, coordinates of the image point E' will be,
E(-5, -7) → E'(-5 + h, -7 + k)
Coordinates of the image point E' → (-9, 4)
Comparing both the coordinates of E',
E'(-5 + h, -7 + k) = E'(-9, 4)
-5 + h = -9
h = -9 + 5
h = -4
-7 + k = 4
k = 4 + 7
k = 11
Therefore, rule for the translation will be,
E(-5, -7) → E'(-5 - 4, -7 + 11)
(x, y) → (x - 4, y + 11)
Option B is the answer.