The vertices of a triangle are P(2, -4), Q(-5, 3), and R(-1, -2). What are the vertices of the image reflected across the y-axis
To reflect a point across the y-axis, we simply change the sign of the x-coordinate while keeping the y-coordinate the same.
For point P(2, -4), the image P' will have x-coordinate -2 and y-coordinate -4. Therefore, P' is (-2, -4).
For point Q(-5, 3), the image Q' will have x-coordinate 5 and y-coordinate 3. Therefore, Q' is (5, 3).
For point R(-1, -2), the image R' will have x-coordinate 1 and y-coordinate -2. Therefore, R' is (1, -2).
The vertices of the image reflected across the y-axis are P'(-2, -4), Q'(5, 3), and R'(1, -2).