Question

determine the coordinates for each of the following *
translation: 1 unit left and 2 units up
(2,-4) (-1,0) (-4,-2) (2,0) (0,-1) (0,-4) (-4,2) (4,0) (0,1) (-1
g
y

Explanation:

Step1: Find original coordinates

From the graph, the coordinates of \( G\) are \((0, - 2)\) and the coordinates of \( Y\) are \((-3,0)\).

Step2: Apply translation rule

The translation rule is \(1\) unit left (subtract \(1\) from \(x\)-coordinate) and \(2\) units up (add \(2\) to \(y\)-coordinate).
For point \(G(0,-2)\):
\(x\)-coordinate: \(0 - 1=-1\)
\(y\)-coordinate: \(-2 + 2=0\)
So \(G'\) has coordinates \((-1,0)\)
For point \(Y(-3,0)\):
\(x\)-coordinate: \(-3-1=-4\)
\(y\)-coordinate: \(0 + 2=2\)
So \(Y'\) has coordinates \((-4,2)\)

Answer:

\(G'(-1,0)\), \(Y'(-4,2)\)