Question

question 23 of 25

which of the following steps were applied to abcd to obtain abcd?

a. shifted 3 units left and 3 units up
b. shifted 4 units left and 4 units up
c. shifted 4 units left and 3 units up
d. shifted 3 units left and 4 units up

Explanation:

Identify coordinates of preimage vertex A

The preimage is polygon \(ABCD\). Looking at the grid, the coordinates of vertex \(A\) are:

$$ A = (2, -2) $$

Identify coordinates of image vertex A'

The image is polygon \(A'B'C'D'\). Looking at the grid, the coordinates of vertex \(A'\) are:

$$ A' = (-2, 1) $$

Calculate the horizontal and vertical shifts

Let the horizontal shift be \(h\) and the vertical shift be \(k\):

$$
LATEXBLOCK0
$$

A shift of \(-4\) in the x-direction represents 4 units left, and a shift of \(+3\) in the y-direction represents 3 units up.

Answer:

• A. shifted 3 units left and 3 units up
• B. shifted 4 units left and 4 units up
• C. shifted 4 units left and 3 units up (Correct answer)
• D. shifted 3 units left and 4 units up