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

Step2: Apply translation to coordinates

A horizontal translation of -8 means we subtract 8 from the x - coordinate. A vertical translation of 4 means we add 4 to the y - coordinate. So, $(x,y)\to(x - 8,y + 4)$.

Answer:

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