Question

a triangle on a coordinate plane is translated according to the rule (t_{-8,4}(x,y)). which is another way to write this rule? ((x,y)\to(x + 4,y - 8)) ((x,y)\to(x - 4,y - 8)) ((x,y)\to(x - 8,y + 4)) ((x,y)\to(x + 8,y - 4))

Explanation:

Step1: Understand translation rule

The rule $T_{- 8,4}(x,y)$ means a translation where the $x$-coordinate changes by $-8$ and the $y$-coordinate changes by $4$.

Step2: Write the new - coordinate form

For a point $(x,y)$, after the translation, the new $x$-coordinate is $x+( - 8)=x - 8$ and the new $y$-coordinate is $y + 4$. So the rule is $(x,y)\to(x - 8,y + 4)$.

Answer:

$(x,y)\to(x - 8,y + 4)$