Question

Need help with following question

Answer 1

Answer: Choice D

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Step-by-step explanation

The translation vector MN is <3, -4>

It is the same as writing
`(\text{x},\text{y})\to(\text{x}+3,\text{y}-4)` which means "shift 3 units right, and 4 units down".

We apply this translation rule to each point J, K, and L.

Let's do so to point J.

`(\text{x},\text{y})\to(\text{x}+3,\text{y}-4)\\\\(-1,2)\to(-1+3,2-4)\\\\(-1,2)\to(2,-2)\\\\`

J(-1,2) moves to J ' (2, -2)

This narrows the answer to choices B, C, or D.

Follow similar steps for point K.

`(\text{x},\text{y})\to(\text{x}+3,\text{y}-4)\\\\(-2,-1)\to(-2+3,-1-4)\\\\(-2,-1)\to(1,-5)\\\\`

K(-2,-1) moves to K ' (1, -5)

Therefore, the answer is choice D

For the sake of completeness, let's move point L.

`(\text{x},\text{y})\to(\text{x}+3,\text{y}-4)\\\\(2,1)\to(2+3,1-4)\\\\(2,1)\to(5,-3)\\\\`

L(2,1) moves to L ' (5, -3)

This matches with answer choice D as well.

Check out the diagram below.