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

Explanation:

Step1: Understand translation rule notation

The rule $T_{- 8,4}(x,y)$ means a translation. The first number -8 is the change in the x - coordinate and the second number 4 is the change in the y - coordinate.

Step2: Write the translation rule

A change of -8 in the x - coordinate means $x$ becomes $x-8$, and a change of 4 in the y - coordinate means $y$ becomes $y + 4$. So the rule is $(x,y)\to(x - 8,y + 4)$.

Answer:

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