Question

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

Explanation:

Step1: Identify coordinates of point A

From the graph, point A is at \((-1, -4)\) (assuming the grid and axis labels, x - coordinate is - 1, y - coordinate is - 4).

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 \((-1,-4)\), the reflected point will have \(x\) - coordinate \(-(-1)=1\) and \(y\) - coordinate remains \(-4\). So the reflected point is \((1, - 4)\).

Step3: Plot the reflected point

On the coordinate grid, find the point with \(x = 1\) and \(y=-4\) and plot it.

Answer:

The reflection of point A across the y - axis is the point with coordinates \((1, - 4)\) (to be plotted on the graph at the position where \(x = 1\) and \(y=-4\)).