Question

After translating the triangle's vertices using (x+3, y-4), what are the new vertices?

a) (–5, 3), (–3, –1), (0, 6)

b) (1, –5), (3, –9), (6, –2)

c) (1, –1), (3, –5), (6, 2)

d) (2, –4), (4, –8), (7, –1)

Answer 1

To translate the triangle's vertices, we add 3 to the x-coordinate and subtract 4 from the y-coordinate of each vertex. The new vertices are (5, -8), (7, -12), and (10, -5).

Step-by-step explanation:

To translate the triangle's vertices using the transformation (x+3, y-4), we add 3 to the x-coordinate and subtract 4 from the y-coordinate of each vertex.

Therefore, the new vertices can be found by applying the transformation to the original vertices:

(2, -4) + (3, -4) = (5, -8)

(4, -8) + (3, -4) = (7, -12)

(7, -1) + (3, -4) = (10, -5)

Therefore, the new vertices after the translation are (5, -8), (7, -12), and (10, -5). Thus, the answer is (d) (2, -4), (4, -8), (7, -1).