Question

One of the vertices of a rectangle is (2, -5). What is the image of that vertex after each transformation? (Use the same starting point (2, -5) for each question)

a. (x,y)→ (x - 4, y - 1)
b. (x,y)→ (-y, x)
c. (x,y)→ (-x, y + 5)
d. (x,y)→ (y, -x)

Answer 1

The image of the vertex (2, -5) after each transformation can be found by applying the given transformations step-by-step.

Step-by-step explanation:

The image of the vertex (2, -5) after each transformation is as follows:

a. (x,y)→ (x - 4, y - 1): The image will move 4 units to the left and 1 unit downward. So, the new coordinates will be (-2, -6).

b. (x,y)→ (-y, x): The image will move vertically downward and horizontally to the right. So, the new coordinates will be (5, 2).

c. (x,y)→ (-x, y + 5): The image will move horizontally to the left and 5 units upward. So, the new coordinates will be (-2, 0).

d. (x,y)→ (y, -x): The image will move horizontally to the right and vertically downward. So, the new coordinates will be (-5, -2).