Question

what will the coordinates of triangle rst be after it is translated 2 units up and 4 units left?
○ r(-9, 4), s(0, 6), t(-7, -1)
○ r(-1, 4), s(8, 6), t(1, -1)
○ r(-1, 0), s(8, 2), t(1, -5)
○ r(-9, 4), s(8, 6), t(-7, -5)

Explanation:

Step1: Identify original coordinates

From the graph, $R(-5, 2)$, $S(4, 4)$, $T(-3, - 3)$.

Step2: Apply translation rule for x - coordinate

Translation 4 units left means subtract 4 from the x - coordinate.
$x_{new}=x_{old}-4$.
For $R$: $-5 - 4=-9$. For $S$: $4 - 4 = 0$. For $T$: $-3 - 4=-7$.

Step3: Apply translation rule for y - coordinate

Translation 2 units up means add 2 to the y - coordinate.
$y_{new}=y_{old}+2$.
For $R$: $2 + 2 = 4$. For $S$: $4+2 = 6$. For $T$: $-3 + 2=-1$.

Answer:

$R(-9,4),S(0,6),T(-7,-1)$