Question

plot the image of point p under a translation by 5 units to the right and 7 units down.

Explanation:

Step1: Identify the x - coordinate change

The point is translated 5 units to the right. If the original x - coordinate of point P is \(x_0\), the new x - coordinate \(x_1=x_0 + 5\). From the graph, the x - coordinate of point P is 0, so \(x_1=0 + 5=5\).

Step2: Identify the y - coordinate change

The point is translated 7 units down. If the original y - coordinate of point P is \(y_0\), the new y - coordinate \(y_1=y_0-7\). From the graph, the y - coordinate of point P is 5, so \(y_1=5 - 7=-2\).

Step3: Plot the new point

Plot the point with coordinates \((5,-2)\) on the graph.

Answer:

Plot the point \((5,-2)\) on the given coordinate - plane.