Question

Which vector best describes the translation below?

Answer 1

Answer: Choice A)  <9,0>

Explanation:

Focus on one of the points in the figure on the left. Let's say we go for the upper left corner point (-7, 4)

Notice it moves to the corresponding image point (2,4). It has shifted 9 units to the right to follow the translation rule $(x,y) \to (x+9, y)$. We've added 9 to the x coordinate, and the y coordinate stays the same.

This notation can be shortened to <9, 0>

In general, the notation $(x,y) \to (x+a, y+b)$ is shortened to the translation vector notation $< a, b >$. In this case, a = 9 and b = 0.