Answer:
(-4, 2) (last option)
Explanation:
Given:
The point is (2, -1)
To find:
the new coordinate when it is translated 6 units left and 3 units up
To determine the coordinate, we will apply the translation rule:
[tex]\begin{gathered} (x,\text{ y\rparen }\rightarrow\text{ \lparen x - a, y + b\rparen} \\ Shows\text{ a translation to the left a units and trianslation up b units} \end{gathered}[/tex][tex]\begin{gathered} Units\text{ to the left = 6} \\ Units\text{ up = 3} \\ a\text{ = 6, b = 3} \\ \\ (2,\text{ -1\rparen }\rightarrow\text{ \lparen2 - 6, -1 + 3\rparen} \\ =\text{ \lparen-4, 2\rparen \lparen last option\rparen} \end{gathered}[/tex]
