Question

Which of the transformations resulted in image Point A?

Alx, y) = (x-3, y + 1)
Alx, y) = (x-3, y - 1)
A(x, y) = (x+3, y- 1)
A(x, y) + (x+3, y+1)

Answer 1

Last Option A – (x, y) = A' (x + 3, y + 1)

Explanation:

Step one: Write the transformation coordinates.

In the figure above point A shows the transformed form of A I.e. A' (x', y') will represent A' (-1, 5) while coordinate (x, y) represents A (-4, 4).

Step Two: find the relationship between A and A'

Using substitution let's find the relationship between (x, y) and (x', y')

x' = -1 = (-4 + 3) = (x + 3)

y' = 5 = 4 + 1 = (y + 1)

Therefore A(x, y) → A'(x + 3, y + 1)

Option D is the correct option.