Question

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

Explanation:

Step1: Determine the original coordinates of point V

Assume the original coordinates of point V are \((x,y)\). From the graph (assuming a standard grid where each square is 1 unit), if we observe the position of point V, let's say the original coordinates of \(V\) are \((1,-7)\) (by looking at its horizontal (x - coordinate) and vertical (y - coordinate) positions relative to the axes).

Step2: Apply the reflection rule over the y - axis

The rule for reflecting a point \((x,y)\) over the \(y\) - axis is \((x,y)\to(-x,y)\).
When \(x = 1\) and \(y=-7\), substituting into the rule \((x,y)\to(-x,y)\), we get \((- 1,-7)\)

Answer:

\((-1,-7)\)