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].
