Question

I need help with this question... which one is the correct choice

Answer 1

Given:

The image of the point (-2, 3) under translation T is (3, -1)

So, we will find the rule of the translation T

$\begin{gathered} (-2+h,3+k)=(3,-1) \\ -2+h=3\rightarrow h=5 \\ 3+k=-1\rightarrow k=-4 \end{gathered}$

so, the rule of translation is: shift 5 units right and 4 units down

$(x,y)\rightarrow(x+5,y-4)$

Now, we will find the image of the point (4, 2)

So,

$(4,2)\rightarrow(4+5,2-4)=(9,-2)$

So, the answer will be (9, -2)