The point a(-2, 3) is translated using t: (x, y) → (x + 4, y + 2). what is the distance from a to a'? 2 5 2

For this case, we have that by definition, the distance between two points is given by:

We have to:

Substituting:

Distance between A and A' is 2√5.

Step-by-step explanation:

The given point A is translated to A' by using T: (x, y) → (x + 4, y+2).

We have to calculate the distance from A and A'

if A is (-2, 3) then the translated point A' will be ( -2+4, 3+2)≅(2, 5)

Now we can calculate the distance between A and A' by using the distance formula

Distance = √[(-2-2)²+(3-5)²] = √(-4)²+(-2)² = √16+4 = √20

              = 2√5

So the correct answer is distance = 2√5.