Question

△rst is translated so that point r (-2, 1) is mapped to point r′ (2, -4).
2.
which rule describes this translation?
○ a. $(x, y) \to (x - 4, y - 5)$
○ b. $(x, y) \to (x + 4, y - 5)$
○ c. $(x, y) \to (x - 5, y + 4)$
○ d. $(x, y) \to (x + 5, y - 4)$

Explanation:

Step1: Find x - translation

Original x-coordinate of R: $-2$, new x-coordinate of R': $2$.
Calculate change: $2 - (-2) = 4$. So x increases by 4, i.e., $x + 4$.

Step2: Find y - translation

Original y-coordinate of R: $1$, new y-coordinate of R': $-4$.
Calculate change: $-4 - 1 = -5$. So y decreases by 5, i.e., $y - 5$.

Answer:

B. $(x, y) \to (x + 4, y - 5)$