Question

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

Explanation:

Step1: Identify Point A's Coordinates

First, we determine the coordinates of point \( A \). From the graph, point \( A \) is at \( (0, -7) \) (since it is on the \( y \)-axis, \( x = 0 \), and the \( y \)-coordinate is \( -7 \)).

Step2: Apply Reflection Over x - axis Rule

The rule for reflecting a point \( (x, y) \) across the \( x \)-axis is \( (x, -y) \). For point \( A(0, -7) \), applying the rule: the \( x \)-coordinate remains \( 0 \), and the \( y \)-coordinate becomes \( -(-7)=7 \). So the reflected point is \( (0, 7) \).

Step3: Plot the Reflected Point

We then plot the point \( (0, 7) \) on the graph. This point is on the \( y \)-axis, 7 units above the origin.

Answer:

The reflection of point \( A \) across the \( x \)-axis is at the point \( (0, 7) \), which should be plotted on the \( y \)-axis 7 units above the origin.