Question

What are the coordinates of point Q after it is reflected across the line x=−2 ? (1 point) Q(−4,3)→Q′ (

Answer 1

To find the coordinates of point Q after it is reflected across the line \( x = -2 \), we can follow these steps:

1. Identify the initial coordinates of point Q: \( Q(-4, 3) \).
2. Determine the distance of Q to the line \( x = -2 \). The x-coordinate of Q is -4, and the line \( x = -2 \) is 2 units to the right of Q.
3. To reflect point Q across the line, we need to move it the same distance (2 units) to the right of the line \( x = -2 \).

Starting at the line \( x = -2 \) and moving 2 units to the right gives:

\[
-2 + 2 = 0
\]

Thus, the x-coordinate of the reflected point \( Q' \) will be 0. The y-coordinate will remain unchanged, so it stays 3.

Therefore, the coordinates of Q after reflection, \( Q' \), are:

\[
Q' (0, 3)
\]