Question

the figure below is translated down 5 units. what are the coordinates of the image of point b after this transformation?

Explanation:

1. First, determine the original coordinates of point B:

• By observing the graph, assume the original coordinates of point B are \((x,y)\). From the graph, we can see that the original coordinates of point B are \((4,6)\).

1. Then, apply the translation rule:

• Translating a point down by \(n\) units changes the \(y - \)coordinate of the point. The rule for translating a point \((x,y)\) down by \(n\) units is \((x,y - n)\). Here, \(n = 5\), \(x = 4\), and \(y=6\).
• After translation, the new \(y - \)coordinate is \(y-5=6 - 5=1\), and the \(x - \)coordinate remains unchanged, which is \(x = 4\).

Answer:

The coordinates of the image of point B are \((4,1)\)