The ordered pair for point C is option C. (3, 2).
Step-by-step explanation:
Step 1:
For this translation, (x, y) becomes (x + 4, y - 2).
This means the values of x are added with 4 and the y values are subtracted by 2.
The points of the triangle ABC are A (2, 4), B (2, 1), and C (3, -2).
Step 2:
Now we determine the ordered pairs after translation.
For A (2, 4). [tex]x = 2 + 4 = 6, y = 4 - 2 = 2,[/tex] So A becomes (6, 2).
For B (2, 1). [tex]x = 2 + 4 = 6, y = 1 - 2 = -1,[/tex] So B becomes (6, -1).
For C (-1, 0). [tex]x = -1 + 4 = 3, y = 0 - 2 = -2,[/tex] So C becomes (3, -2).
So the ordered pair of C is (3, -2) which is option C.
