Question

which rule describes this transformation? a. $(x,y) \to (x - 3,y - 6)$ b. $(x,y) \to (x - 6,y - 3)$ c. $(x,y) \to (x + 6,y + 3)$ d. $(x,y) \to (x + 3,y + 6)$

Explanation:

Step1: Pick a point from the figure

Take point $D'(-3,-2)$ and its image $D(0,4)$.

Step2: Calculate x and y changes

$\Delta x = 0 - (-3) = 3$, $\Delta y = 4 - (-2) = 6$.

Step3: Determine the transformation rule

The rule is $(x + 3, y + 6)$.

Answer:

D. $(x,y) \to (x + 3, y + 6)$