Step-by-step explanation:
The translation vector v can be resolved into its x and y components, where x² + y² = 10 (Pythagoras' Theorem) and y = 3x
(parallel to y = 3x - 2, slope = 3).
We have x² + (3x)² = 10,
=> x² + 9x² = 10, 10x² = 10, x = 1 or x = -1.
When x = 1, y = 3. When x = -1, y = -3.
Therefore 2 possible translation vectors
are (1, 3) or (-1, -3).
First new C' = (2 + (1), 3 + (3)) = (3, 6).
Second new C'= (2 + (-1), 3 + (-3)) = (1, 0).
The possible images are (3, 6) and (1, 0).
