QUESTION IMAGE
Question
points f, and g are plotted on the coordinate plane. plot the coordinates of points f and g after a reflection over the x -axis. then enter the coordinates in the table.
| point | coordinates |
|---|---|
| g |
Step1: Recall reflection rule
The rule for reflecting a point $(x,y)$ over the $x - axis$ is $(x,-y)$.
Step2: Assume coordinates of $F$ and $G$
Let the coordinates of point $F$ be $(x_1,y_1)$ and of point $G$ be $(x_2,y_2)$.
Step3: Find coordinates of $F'$ and $G'$
The coordinates of $F'$ after reflection over the $x - axis$ will be $(x_1, - y_1)$. The coordinates of $G'$ after reflection over the $x - axis$ will be $(x_2,-y_2)$.
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Since the original coordinates of $F$ and $G$ are not given, the general form of the answers are:
$F'$: $(x_{F}, - y_{F})$ (where $(x_{F},y_{F})$ are the original coordinates of $F$)
$G'$: $(x_{G}, - y_{G})$ (where $(x_{G},y_{G})$ are the original coordinates of $G$)