Use the image to answer the question.

Question

A rectangle is labeled upper A upper B upper C upper D. Vertices upper A and upper B are labeled as follows: upper A equals left parenthesis negative 5 comma 4 right parenthesis, and upper B equals left parenthesis negative 1 comma 4 right parenthesis.

If square ABDC
is translated 2 units to the left and 4 units down to produce square A′B′D′C′
, what are the coordinates of B′
?

(1 point)
(
,
)

Answer 1

To find the coordinates of \( B' \) after translating \( B \) by 2 units to the left and 4 units down, we start with the coordinates of \( B \):

\[ B = (-1, 4) \]

1. Translate 2 units to the left:

   • This means we subtract 2 from the x-coordinate. \[ -1 - 2 = -3 \]

2. Translate 4 units down:

   • This means we subtract 4 from the y-coordinate. \[ 4 - 4 = 0 \]

Combining these two translations, the new coordinates for \( B' \) are:

\[ B' = (-3, 0) \]

Thus, the coordinates of \( B' \) are:

\[ \boxed{(-3, 0)} \]