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)→(x - 3, y + 5) (x, y)→(x - 3, y - 5) (x, y)→(x + 3, y - 5) (x, y)→(x + 3, y + 5)

Explanation:

Step1: Understand translation rule

In the translation rule $T_{a,b}(x,y)$, $a$ represents the horizontal - shift and $b$ represents the vertical - shift. If $a$ is negative, the figure moves left; if $a$ is positive, the figure moves right. If $b$ is positive, the figure moves up; if $b$ is negative, the figure moves down. Here $a=-3$ and $b = 5$.

Step2: Apply rule to coordinates

For a point $(x,y)$ translated using $T_{-3,5}(x,y)$, the $x$ - coordinate changes to $x+a=x+( - 3)=x - 3$ and the $y$ - coordinate changes to $y + b=y + 5$. So the translation rule is $(x,y)\to(x - 3,y + 5)$.

Answer:

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