Question

question
write a function to represent the point (x,y) being translated of 3 units to the right and 2 units down.
type the correct answer in the box.
t(x,y)

Explanation:

Step1: Analyze horizontal translation

When a point is translated \(h\) units to the right, the \(x\) - coordinate changes as \(x\to x + h\). Here \(h = 3\), so the new \(x\) - coordinate is \(x+3\).

Step2: Analyze vertical translation

When a point is translated \(k\) units down, the \(y\) - coordinate changes as \(y\to y - k\). Here \(k = 2\), so the new \(y\) - coordinate is \(y - 2\).

Answer:

\(T(x,y)=(x + 3,y-2)\)