Question

ng the pencil, plot the reflection of point a across the y-axis.

Explanation:

Step1: Find coordinates of point A

From the graph, point A is at $(-5, 3)$ (since it's 5 units left of y - axis (x=-5) and 3 units up (y = 3)).

Step2: Apply reflection over y - axis rule

The rule for reflecting a point $(x,y)$ over the y - axis is $(x,y)\to(-x,y)$. So for point A $(-5,3)$, the reflection will be $(5,3)$.

Step3: Plot the reflected point

On the coordinate plane, move 5 units to the right of the y - axis (x = 5) and 3 units up (y = 3) to plot the point $(5,3)$.

Answer:

The reflection of point A across the y - axis is at the point with coordinates $(5,3)$ (and should be plotted at that location on the graph).