Verified Answer :

Point D is at (-5, 1). The vector is (+7, +2). So, add 7 to x and add 2 to y. You will find the image of point D.

Answer:

The answer is the triangle GHJ

Step-by-step explanation:

In this problem we have that

The rule of the translation is equal to

\((x,y)------> (x+7,y+2)\)

That means------> the translation of triangle DEF is \(7\) units to the right and \(2\) units up

therefore

The image of triangle DEF under the translation is the triangle GHJ

Verify

point \(E(-2,4)\)

Applying the rule of translation

\((x,y)------> (x+7,y+2)\)

\(E(-2,4)------> H(-2+7,4+2)\)

\(E(-2,4)------> H(5,6)\) -----> is correct