Question

a triangle with vertices (-2, 3),(5, 4), and (-1, -1) is translated using the rule (x,y)→(x - 3, y + 4). what are the coordinates of the image? enter the correct answers in the boxes.

Explanation:

Step1: Translate first vertex

For vertex $(-2,3)$, apply the rule $(x,y)\to(x - 3,y + 4)$. So, $x=-2,y = 3$. New $x=-2-3=-5$, new $y=3 + 4=7$.

Step2: Translate second vertex

For vertex $(5,4)$, apply the rule. Here $x = 5,y=4$. New $x=5-3 = 2$, new $y=4 + 4=8$.

Step3: Translate third vertex

For vertex $(-1,-1)$, apply the rule. Here $x=-1,y=-1$. New $x=-1-3=-4$, new $y=-1 + 4=3$.

Answer:

$(-5,7),(2,8),(-4,3)$