Question

question 7
10 pts
g.gsr.3.2 (mc)
what is the rule for this translation from
abcd to abcd?
image of coordinate plane with two parallelograms abcd and abcd
options:

• (x + 2, y + 4)
• (x + 4, y + 2)
• (x - 2, y - 4)
• (x - 4, y - 2)

Explanation:

Step1: Identify coordinates of a point

Take point A: original coordinates \( A(1, 1) \), translated coordinates \( A'(-1, -3) \).

Step2: Calculate x - change and y - change

For x - coordinate: \( -1 - 1=-2 \), so \( x\to x - 2 \).
For y - coordinate: \( -3 - 1=-4 \), so \( y\to y - 4 \).
Check with another point (e.g., B: \( B(4, 1)\to B'(2, -3) \)).
x - change: \( 2 - 4=-2 \), y - change: \( -3 - 1=-4 \). Consistent.

Answer:

(x - 2, y - 4)