Question

1. a. here are some points: what are the coordinates of a, b, and c after a translation to the right by 4 units and up 1 unit? plot these points on the grid, and label them a, b and c.

Explanation:

Step1: Identify original coordinates

Assume \(A=(5, - 6)\), \(B=(3,-2)\), \(C=(0, - 1)\) from the grid.

Step2: Apply translation rule

The translation is 4 units to the right (add 4 to x - coordinate) and 1 unit up (add 1 to y - coordinate).
For point \(A\): New \(x = 5+4=9\), new \(y=-6 + 1=-5\), so \(A'=(9,-5)\).
For point \(B\): New \(x = 3+4=7\), new \(y=-2 + 1=-1\), so \(B'=(7,-1)\).
For point \(C\): New \(x = 0+4=4\), new \(y=-1 + 1=0\), so \(C'=(4,0)\).

Answer:

The coordinates of \(A'\) are \((9,-5)\), the coordinates of \(B'\) are \((7,-1)\) and the coordinates of \(C'\) are \((4,0)\)