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 negative value for the x - translation means moving left by that number of units and a positive value for the y - translation means moving up by that number of units. So for a point $(x,y)$, the new point after translation is $(x - 8,y + 4)$.

Answer:

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