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

The rule $T_{- 8,4}(x,y)$ means a translation. The first number -8 is the horizontal (x - direction) translation and 4 is the vertical (y - direction) translation.

Step2: Apply translation to coordinates

For the x - coordinate, we subtract 8 from the original x - value. For the y - coordinate, we add 4 to the original y - value. So the rule is $(x,y)\to(x - 8,y + 4)$.

Answer:

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