Question

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: Assume point A coordinates

Let the coordinates of point $A$ be $(x_0,y_0)$. Its reflection across the $y - axis$ will have coordinates $(-x_0,y_0)$.

Step3: Plot the new point

On the given coordinate - plane, find the point with $x$ - coordinate as the negative of the $x$ - coordinate of $A$ and the same $y$ - coordinate as $A$ and mark it with the pencil.

Since the coordinates of point $A$ are not given numerically, the general method for plotting the reflection across the $y - axis$ is as described above. If you were to have the coordinates of $A$, say $A=(a,b)$, then the reflected point would be $(-a,b)$ and you would plot the point $(-a,b)$ on the grid.

Answer:

Step1: Recall reflection rule

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

Step2: Assume point A coordinates

Let the coordinates of point $A$ be $(x_0,y_0)$. Its reflection across the $y - axis$ will have coordinates $(-x_0,y_0)$.

Step3: Plot the new point

On the given coordinate - plane, find the point with $x$ - coordinate as the negative of the $x$ - coordinate of $A$ and the same $y$ - coordinate as $A$ and mark it with the pencil.

Since the coordinates of point $A$ are not given numerically, the general method for plotting the reflection across the $y - axis$ is as described above. If you were to have the coordinates of $A$, say $A=(a,b)$, then the reflected point would be $(-a,b)$ and you would plot the point $(-a,b)$ on the grid.