Question

Quadrilateral has coordinates at (−5, −2), (−1, 2), (4, −3), (0, −7) and it

is transformed by (, ) → ( + 5, − 7).
Part A: What is the −coordinate of ′?
Part B: What is the −coordinate of ′?

Answer 1

The x-coordinate of A' after the transformation is 0, and the y-coordinate of A' is -9 after applying the transformation rule to the original coordinates of the quadrilateral's vertex A.

Step-by-step explanation:

The question involves a quadrilateral whose vertices have been given, and the quadrilateral is subjected to a transformation. The transformation rule is (x, y) → (x + 5, y - 7). To find the new coordinates after transformation, apply the rule to each original coordinate of the quadrilateral.

Part A: To find the x-coordinate of A' after transformation, add 5 to the original x-coordinate of A. So, if A is (-5, -2), then A' will have an x-coordinate of -5 + 5 = 0.

Part B: To find the y-coordinate of A' after transformation, subtract 7 from the original y-coordinate of A. So, if A is (-5, -2), then A' will have a y-coordinate of -2 - 7 = -9.