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If [tex]P = (3,4)[/tex], find:

[tex]R_{y\text{-axis}}(P)[/tex]

[tex]([?,?])[/tex]

Sagot :

GinnyAnsweridn
To find the reflection of the point [tex]\( P = (3, 4) \)[/tex] across the y-axis, follow these steps:

1. Understand the Reflection Across the y-axis:
Reflection of a point across the y-axis involves changing the sign of the x-coordinate while keeping the y-coordinate the same.

2. Apply the Reflection Rule:
- The x-coordinate of point P is [tex]\( 3 \)[/tex]. Reflecting this across the y-axis, we change its sign. Hence, it becomes [tex]\( -3 \)[/tex].
- The y-coordinate of point P is [tex]\( 4 \)[/tex]. This remains unchanged during the reflection.

3. Write the Reflected Coordinates:
After reflecting point [tex]\( P \)[/tex] across the y-axis, the new coordinates will be:
[tex]\[ R_{y-a x i s}(P) = (-3, 4) \][/tex]

So, the reflected point is [tex]\( (-3, 4) \)[/tex].
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