Question

identify the transformation that best characterizes the graph. (1 point) the graph shows a reflection over the line x = 1 the graph shows a reflection over the x - axis the graph shows a reflection over the line y = 1 the graph shows a reflection over the y - axis

Explanation:

Step1: Recall reflection rules

For a point $(x,y)$ reflected over the $x$ - axis, the new point is $(x, - y)$; over the $y$ - axis, the new point is $(-x,y)$; over the line $x = a$, the new point is $(2a - x,y)$; over the line $y = a$, the new point is $(x,2a - y)$.

Step2: Analyze the graph

If we consider a point on the left - hand side of the graph and its corresponding point on the right - hand side, we can see that for any point $(x,y)$ on the left - hand side, its image $( - x,y)$ is on the right - hand side.

Answer:

The graph shows a reflection over the y - axis.