Question

point a(-3, 2) is to be reflected over the vertical line x = 1. what are the coordinates of the image of a? (1 point)

Explanation:

Step1: Calculate horizontal distance

The distance between $x = - 3$ (x - coordinate of point A) and the line $x = 1$ is $d=|1-(-3)|=4$.

Step2: Find new x - coordinate

The new x - coordinate of the reflected point $A'$ is $1 + 4=5$ (since we move the same distance on the other side of the line $x = 1$). The y - coordinate remains the same as there is no vertical movement during reflection over a vertical line. So the y - coordinate of $A'$ is 2.

Answer:

$(5,2)$