Question

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

Explanation:

Step1: Identify the original coordinates of point X

Assume the original coordinates of point X are \((x,y)\). From the graph, if we estimate, let's say the original coordinates of X are \((4, - 8)\).

Step2: Apply the translation rule

A translation up 5 units means we add 5 to the y - coordinate. The new y - coordinate is \(y_{new}=y + 5\), and the x - coordinate remains the same \(x_{new}=x\). Substituting \(x = 4\) and \(y=-8\) into the rule, we get \(x_{new}=4\) and \(y_{new}=-8 + 5=-3\).

Answer:

\((4,-3)\)