Question

1. if a point (3, 4) is translated by (2, -1), where is it? (3, 5) (1, 5) (5, 3) (6, 3)

Explanation:

Step1: Translate the x - coordinate

Add the x - component of the translation vector to the x - coordinate of the point.
The x - coordinate of the point is \(3\), and the x - component of the translation vector \((2,-1)\) is \(2\). So, \(3 + 2=5\).

Step2: Translate the y - coordinate

Add the y - component of the translation vector to the y - coordinate of the point.
The y - coordinate of the point is \(4\), and the y - component of the translation vector \((2,-1)\) is \(-1\). So, \(4+( - 1)=3\).

Answer:

\((5,3)\) (the third option)