Use the image to answer the question.
Point upper A and a line are graphed on a coordinate plane. The x- and y-axes range from negative 6 to 6 in increments of 1. Point upper A has coordinates left parenthesis negative 3 comma 2 right parenthesis. The line is solid and follows x equals 1.
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)
A(−3,2)→A′
(
,
)
The image of A(−3,2) when reflected over the vertical line x=1 would be A′(5,2).
To reflect point A(-3,2) over the vertical line x=1, we need to find the image of A'.
The vertical line x=1 is the line passing through the point (1,0) and parallel to the y-axis.
To reflect a point over a vertical line, the x-coordinate stays the same, while the y-coordinate becomes its opposite.
Therefore, the coordinates of the image A' would be:
A' (1,-2)