Question

the figure below is translated right 3 units. what are the coordinates of the image of point p after this transformation?

Explanation:

1. First, assume the coordinates of point \(P\):

• Let's assume the coordinates of point \(P\) are \((x,y)\). From the graph, if we estimate the position of point \(P\), it seems that \(P\) has coordinates \((5, - 8)\) (assuming each grid - line represents 1 unit).

1. Then, apply the translation rule:

• The rule for a translation to the right by \(3\) units is \((x,y)\to(x + 3,y)\).
• Substitute \(x = 5\) and \(y=-8\) into the translation rule.
• For the \(x\) - coordinate of the new point, \(x+3=5 + 3=8\).
• The \(y\) - coordinate remains the same, \(y=-8\).

Answer:

The coordinates of the image of point \(P\) are \((8,-8)\).