Question

what would be the coordinates of the vertex w of a rectangle after a horizontal translation of +5 and a vertical translation of -2? the coordinates of the original figure are t(-2,-1), u(-2,2), v(-1,2), w(-1,-1).
a (1, -5)
b (2, -5)
c (-5, -4)
d (4, -3)

Explanation:

Step1: Identify original W coordinates

Original $W: (-1, -1)$

Step2: Apply horizontal translation

New x-coordinate: $-1 + 5 = 4$

Step3: Apply vertical translation

New y-coordinate: $-1 + (-2) = -3$

Step4: Combine new coordinates

Translated $W: (4, -3)$

Answer:

d. $(4, -3)$