Question

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

Explanation:

Step1: Identify coordinates of A

Point A is on the y - axis, so its x - coordinate is 0, and from the graph, its y - coordinate is 6. So, \(A=(0,6)\).

Step2: Apply reflection over x - axis rule

The rule for reflecting a point \((x,y)\) across the x - axis is \((x,y)\to(x, - y)\).
Substitute \(x = 0\) and \(y = 6\) into the rule: the reflected point will have \(x = 0\) and \(y=-6\). So the reflected point is \((0, - 6)\).

Answer:

The reflection of point A across the x - axis is the point with coordinates \((0,-6)\), which should be plotted on the graph at the position \((0, - 6)\).