Question

the vertices of a triangle are l(0,1), m(1, - 2), and n(-2,1). draw the figure and its image after the translation (x + 2,y + 3).

Explanation:

Step1: Apply translation to point L

For point L(0, 1), using the translation (x + 2, y+3), we have x = 0, y = 1. New - x=0 + 2=2, new - y=1 + 3 = 4. So the new point L' is (2, 4).

Step2: Apply translation to point M

For point M(1, - 2), with x = 1, y=-2. New - x=1 + 2=3, new - y=-2 + 3 = 1. So the new point M' is (3, 1).

Step3: Apply translation to point N

For point N(-2, 1), where x=-2, y = 1. New - x=-2+2 = 0, new - y=1 + 3=4. So the new point N' is (0, 4).

Answer:

The vertices of the original triangle are L(0, 1), M(1, - 2), N(-2, 1). The vertices of the translated triangle are L'(2, 4), M'(3, 1), N'(0, 4). To draw, first plot the points L, M, N on the coordinate - grid and connect them to form the original triangle. Then plot the points L', M', N' and connect them to form the translated triangle.