Question

question: what is the image point of (8, 4) after a translation left 9 units and down 4 units?

Explanation:

Step1: Apply left - translation rule

For a left - translation of $a$ units, we subtract $a$ from the $x$ - coordinate. Here $a = 5$, so the new $x$ - coordinate of the point $(8,4)$ is $8 - 5=3$.

Step2: Apply down - translation rule

For a down - translation of $b$ units, we subtract $b$ from the $y$ - coordinate. Here $b = 4$, so the new $y$ - coordinate is $4 - 4 = 0$.

Answer:

$(3,0)$