Question

The figure formed by (−3, 2), (−4, 1), and (−1, −5) is translated 3 units right and 5 units up. What are the coordinates of the new figure?

(0, 7), (−7, −4), (2, −10)
(−6, −3), (−7, −4), (−4, −10)
(0, 7), (−1, 6), (2, 0)
(−6, −3), (−1, 6), (−4, 0)

Answer 1

Translating the figure involves chaging the position of the figure

The coordinates of the new figure are (0, 7), (1 , 6), and (2, 0)

The coordinates of the new figure

The coordinates are given as:

(−3, 2), (−4, 1), and (−1, −5)

The rule of translation 3 units right and 5 units up is:

(x + 3, y + 5)

So, we have:

(−3 + 3, 2 + 5), (−4 + 3 , 1 + 5), and (−1 + 3, −5 + 5)

Evaluate the sum

(0, 7), (-1 , 6), and (2, 0)

Hence, the coordinates of the new figure are (0, 7), (1 , 6), and (2, 0)