Question

the image point of a after a translation right 3 units and up 3 units is the point b(-4,8). determine the coordinates of the pre - image point a.

Explanation:

Step1: Determine the reverse translation

Translation right \(3\) units and up \(3\) units. Reverse: left \(3\) units (subtract \(3\) from \(x -\) coordinate) and down \(3\) units (subtract \(3\) from \(y -\) coordinate).

Step2: Calculate the \(x -\) coordinate of \(A\)

For \(x\) - coordinate of \(B(-4,8)\), \(x_A=-4 - 3=-7\).

Step3: Calculate the \(y -\) coordinate of \(A\)

For \(y\) - coordinate of \(B(-4,8)\), \(y_A=8 - 3 = 5\).

Answer:

$(-7,5)$