Question

t<2, -5>(qrst), find the coordinates of s. (-5, 2) (2, -5) (-4, 10) (4, -10)

Explanation:

Step1: Identify the translation rule

The translation $T_{<2,-5>}$ means we add 2 to the x - coordinate and subtract 5 from the y - coordinate of each point.

Step2: Assume the original coordinates of S

Let's assume the original coordinates of point S are $(x,y)$. After translation, the new coordinates $S'$ will be $(x + 2,y-5)$. But we need to first find the original coordinates of S from the graph. From the graph, assume the original coordinates of S are $(2, - 5)$.

Step3: Apply the translation

For the x - coordinate of $S'$: $x'=2 + 2=4$.
For the y - coordinate of $S'$: $y'=-5-5=-10$.

Answer:

D. $(4, - 10)$