QUESTION IMAGE
Question
problem 3 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 f (2,2) g
Step1: Recall reflection rule
When reflecting a point $(x,y)$ over the $x - axis$, the rule is $(x,y)\to(x, - y)$.
Step2: Find new coordinates of point F
Given $F=(2,2)$. Using the reflection rule, the new $y -$coordinate is $- 2$ while the $x -$coordinate remains the same. So the new coordinates of $F$ are $(2,-2)$.
Step3: Assume coordinates of G
Let's assume $G=(0,4)$ (from the graph).
Step4: Find new coordinates of point G
Applying the reflection rule $(x,y)\to(x, - y)$ to $G=(0,4)$, we get the new coordinates of $G$ as $(0,-4)$.
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| Point | Coordinates |
|---|---|
| $G$ | $(0,-4)$ |