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.
a) for parallelogram abcd, type the image of each vertex.
a(-4,3)→a(-1,0)
(type an ordered pair )
b(-2,3)→b(1,0)
(type an ordered pair.)
c(-2,0)→c□
(type an ordered pair )

Explanation:

Step1: Apply the translation rule to \(x\)-coordinate

The translation rule is \((x,y)\to(x + 3,y-3)\). For point \(C(-2,0)\), add \(3\) to the \(x\)-coordinate: \(-2+3 = 1\).

Step2: Apply the translation rule to \(y\)-coordinate

Subtract \(3\) from the \(y\)-coordinate of point \(C\). So, \(0 - 3=-3\).

Answer:

\((1,-3)\)