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

Explanation:

Step1: Recall reflection rule

The rule for reflecting a point $(x,y)$ across the $y - axis$ is $(-x,y)$.

Step2: Identify point A coordinates

Assume point $A$ has coordinates $(x_0,y_0)$.

Step3: Calculate reflected - point coordinates

The reflected point of $A$ across the $y - axis$ has coordinates $(-x_0,y_0)$. Then plot this new point on the graph.

Since the coordinates of point $A$ are not given numerically, the general method for reflection across the $y - axis$ is to change the sign of the $x$ - coordinate while keeping the $y$ - coordinate the same. If you were to plot it on the given graph, you would find the point that is the same distance from the $y - axis$ as point $A$ but on the opposite side.

Answer:

Change the sign of the $x$ - coordinate of point $A$ and keep the $y$ - coordinate the same to get the reflected point, then plot it on the graph.