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

Explanation:

Step1: Understand translation rule

In the rule $T_{- 8,4}(x,y)$, the first number -8 represents the horizontal (x - direction) translation and the second number 4 represents the vertical (y - direction) translation.

Step2: Apply translation to coordinates

A translation of -8 in the x - direction means $x$ becomes $x-8$, and a translation of 4 in the y - direction means $y$ becomes $y + 4$. So the rule can be written as $(x,y)\to(x - 8,y + 4)$.

Answer:

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