Question

the figure below has a point marked with a large dot. first, reflect the figure across the y-axis. then, give the coordinates of the marked point in the original figure and the final figure. point in original figure: ( , ) point in final figure: ( , )

Explanation:

Step1: Find original point coordinates

Looking at the graph, the marked point is at \( x = -7 \), \( y = 5 \). So original coordinates: \((-7, 5)\).

Step2: Reflect over y - axis

The rule for reflection over the y - axis is \((x,y)\to(-x,y)\). Substitute \( x=-7 \), \( y = 5 \). New \( x=-(-7)=7 \), \( y = 5 \). So final coordinates: \((7, 5)\).

Answer:

Point in original figure: \((-7, 5)\)
Point in final figure: \((7, 5)\)