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)→(x + 8, y - 4) (x, y)→(x - 4, y - 8) (x, y)→(x - 8, y + 4) (x, y)→(x + 4, y - 8)

Explanation:

Step1: Understand translation rule

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

Step2: Write the rule

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

Answer:

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