Answer:
The given algebraic representation (x,y) → (-x, y) represents the reflection of a point (x, y) across the y-axis.
Step-by-step explanation:
We know that when a point P(x, y) is reflected across the y-axis, the x-coordinate changes/reverses its sign, but the y-coordinate stays the same.
Thus, the rule of reflection of a point P(x, y) across y-xis is:
P(x, y) → P'(-x, y)
For example, if a point A(1, 2) is reflected across the y-axis, the coordinates of the image A' of the point A(1, 2) will be:
A(1, 2) → A'(-1, y)
In our case, we are given the algebraic representation
(x,y) → (-x, y)
Here:
- The x-coordinate changes/reverses its sign
- The y-coordinate stays the same.
Thus, the given algebraic representation (x,y) → (-x, y) represents the reflection of a point (x, y) across the y-axis.
