Question

points a, b, and c show the locations of three trumpet players during a formation. translate points a, b, and c 5 units up.

Explanation:

Step1: Recall translation rule

To translate a point \((x,y)\) \(k\) units up, we add \(k\) to the \(y\)-coordinate, so the new coordinates are \((x,y + k)\).

Step2: Identify original coordinates (assuming grid)

Let's assume the coordinates (from the grid, estimating positions):

• Let \(A=(2,1)\) (column 2, row 1), \(B=(4,3)\) (column 4, row 3), \(C=(6,1)\) (column 6, row 1).

Step3: Translate each point 5 units up

• For \(A\): New \(y\)-coordinate \(=1 + 5=6\), so \(A'=(2,6)\).
• For \(B\): New \(y\)-coordinate \(=3 + 5=8\), so \(B'=(4,8)\).
• For \(C\): New \(y\)-coordinate \(=1 + 5=6\), so \(C'=(6,6)\).

(Note: If the original coordinates are different, adjust the calculation, but the method is adding 5 to the \(y\)-value of each point's coordinates.)

Answer:

To translate points \(A\), \(B\), and \(C\) 5 units up, for each point \((x,y)\), the new coordinates are \((x,y + 5)\). If original coordinates (from grid estimation) are \(A=(2,1)\), \(B=(4,3)\), \(C=(6,1)\), the translated points are \(A'=(2,6)\), \(B'=(4,8)\), \(C'=(6,6)\) (plot these points 5 units above the original ones on the grid).