Question

1. the graph of △rst is shown. graph the image of △rst after a translation of 3 units left and 5 units down. write the coordinates of the image.

Explanation:

Step1: Identify original coordinates

Assume \(R(0, 2)\), \(S(0,0)\), \(T(4,0)\) from the graph.

Step2: Apply translation rule

The translation rule for 3 units left and 5 units down is \((x,y)\to(x - 3,y - 5)\).
For point \(R\): \(x=0,y = 2\), new - coordinates are \((0-3,2 - 5)=(-3,-3)\).
For point \(S\): \(x = 0,y=0\), new - coordinates are \((0-3,0 - 5)=(-3,-5)\).
For point \(T\): \(x = 4,y=0\), new - coordinates are \((4-3,0 - 5)=(1,-5)\).

Answer:

The coordinates of the image are \(R'(-3,-3)\), \(S'(-3,-5)\), \(T'(1,-5)\)