Question

the figure below is reflected over y - axis. what are the coordinates of the image of point v after this transformation?

Explanation:

Step1: Recall reflection rule

When a point $(x,y)$ is reflected over the $y -$axis, the rule is $(x,y)\to(-x,y)$.

Step2: Identify original coordinates of point V

Assume the coordinates of point V are $(x_0,y_0)$. From the graph, if we assume the coordinates of point V are $(- 4,3)$ (by estimating from the grid).

Step3: Apply the reflection rule

Using the rule $(x,y)\to(-x,y)$, for the point $(-4,3)$, we get $-(-4)=4$ and $y$ - coordinate remains the same. So the new coordinates are $(4,3)$.

Answer:

$(4,3)$