Question

a triangle on a coordinate plane is translated according to the rule $t_{-3,5}(x,y)$. which is another way to write this rule?
$(x,y)\to(x - 3,y + 5)$
$(x,y)\to(x - 3,y - 5)$
$(x,y)\to(x + 3,y - 5)$
$(x,y)\to(x + 3,y + 5)$

Explanation:

Step1: Understand translation rule notation

In the rule $T_{-3,5}(x,y)$, the first number -3 represents the horizontal (x - axis) translation and the second number 5 represents the vertical (y - axis) translation. A negative number for x - value means a shift to the left and a positive number for y - value means a shift up.

Step2: Write the rule in arrow - notation

The rule for translation is $(x,y)\to(x - 3,y + 5)$.

Answer:

A. $(x,y)\to(x - 3,y + 5)$