Question

the figure below is translated right 2 units. what are the coordinates of the image of point x after this transformation?

Explanation:

Step1: Find the original coordinates of point X

From the graph, the original coordinates of point X are \((-10,2)\).

Step2: Apply the translation rule for horizontal movement

When a point \((x,y)\) is translated right \(a\) units, the new coordinates are \((x + a,y)\). Here \(a = 2\), \(x=-10\), \(y = 2\).
So the new \(x\)-coordinate is \(x+2=-10 + 2=-8\), and the \(y\)-coordinate remains \(y = 2\).

Answer:

\((-8,2)\)