Question

consider the translation (x,y)→(x + 3,y − 3). for each of the following, draw the image of the figure under the translation and find the coordinates of the images of the labeled points.
b) for triangle abc, type the image of each vertex.
a(-4,2)→a(-1,-1)
(type an ordered pair)
b(1,5)→b□
(type an ordered pair)

Explanation:

Step1: Apply the translation rule to the x - coordinate

For a point \((x,y)\) under the translation \((x,y)\to(x + 3,y-3)\), when \(x = 1\) (from point \(B(1,5)\)), the new \(x\) - coordinate is \(x'=x + 3=1+3 = 4\).

Step2: Apply the translation rule to the y - coordinate

When \(y = 5\) (from point \(B(1,5)\)), the new \(y\) - coordinate is \(y'=y - 3=5-3=2\).

Answer:

\((4,2)\)