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

In a translation rule $T_{a,b}(x,y)$, $a$ is the horizontal - shift and $b$ is the vertical - shift.

Step2: Analyze the given rule

For $T_{- 8,4}(x,y)$, the value of $a=-8$ and $b = 4$. A negative value of $a$ means a shift to the left (subtract from the $x$ - coordinate) and a positive value of $b$ means a shift up (add to the $y$ - coordinate). So, $(x,y)\to(x - 8,y + 4)$.

Answer:

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