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

I Need Help With This Question Which One Is The Correct Choice class=

Sagot :

Given:

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

So, we will find the rule of the translation T

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

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

[tex](x,y)\rightarrow(x+5,y-4)[/tex]

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

So,

[tex](4,2)\rightarrow(4+5,2-4)=(9,-2)[/tex]

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

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