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 $Q^{\prime }$ will be 0. The y-coordinate will remain unchanged, so it stays 3.

Therefore, the coordinates of Q after reflection, $Q^{\prime }$, are:

$$Q^{\prime }(0,3)$$