Question

question what is the image point of (1, - 2) after a translation right 4 units and down 4 units?

Explanation:

Step1: Apply horizontal - translation rule

For a point $(x,y)$ translated right $h$ units, the new $x$ - coordinate is $x + h$. Here $x = 1$ and $h = 4$, so the new $x$ - coordinate is $1+4=5$.

Step2: Apply vertical - translation rule

For a point $(x,y)$ translated down $k$ units, the new $y$ - coordinate is $y - k$. Here $y=-2$ and $k = 4$, so the new $y$ - coordinate is $-2 - 4=-6$.

Answer:

$(5,-6)$