Question

practice problems 1. a. here are some points: b. 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 point A is at (5, - 6), point B is at (3,-3), point C is at (-1,-1).

Step2: Apply translation rule

The translation rule is (x,y)→(x + 4,y + 1). For point A: x=5,y=-6, new x - coordinate is 5 + 4=9, new y - coordinate is -6 + 1=-5. So A' is (9,-5). For point B: x = 3,y=-3, new x - coordinate is 3+4 = 7, new y - coordinate is -3 + 1=-2. So B' is (7,-2). For point C: x=-1,y=-1, new x - coordinate is -1 + 4=3, new y - coordinate is -1 + 1=0. So C' is (3,0).

Step3: Plot the new points

Plot A'(9,-5), B'(7,-2) and C'(3,0) on the grid and label them.

Answer:

Coordinates of A' are (9,-5), B' are (7,-2) and C' are (3,0). Plot these points on the grid and label them as A', B' and C'.