Question

If the domain of the coordinate transformation (, ) = ( + 2,− − 4) is (1, -4), (3, -2), (0, −1), what is the range?

Answer 1

Answer:

A. (-2, -5), (0, -7), (1, -4)

Step-by-step explanation:

The following transformation is applied:

$(x,y) \rightarrow (y + 2, -x - 4)$

To find the range:

We apply the transformation to the points in the domain. Thus:

$(1,-4) \rightarrow (-4 + 2, -1 - 4) = (-2, -5)$

$(3,-2) \rightarrow (-2 + 2, -3 - 4) = (0, -7)$

$(0,-1) \rightarrow (-1 + 2, 0 - 4) = (1, -4)$

Thus the correct answer is given by option a.