Answer:
The image of [tex]P(x,y) = (2,-3)[/tex] is [tex]P'(x,y) = (-2, -3)[/tex].
Step-by-step explanation:
According to this statement, we need to find the image of a given point by reflection with respect to the y-axis. The reflection can be done by following operation:
[tex]P(x,y) = (x, y) \to P'(x,y) = (-x, y)[/tex] (1)
Where:
[tex]P(x,y)[/tex] - Original point.
[tex]P'(x,y)[/tex] - Reflected point.
If we know that [tex]x = 2[/tex] and [tex]y = -3[/tex], then the reflecting point is:
[tex]P'(x,y) = (-2, -3)[/tex]
The image of [tex]P(x,y) = (2,-3)[/tex] is [tex]P'(x,y) = (-2, -3)[/tex].
