Final answer:
To reflect a triangle in the y-axis, change the signs of the x-coordinates of the original triangle.
Step-by-step explanation:
To find the vertices of the image reflected in the y-axis, we need to change the signs of the x-coordinates of the original triangle. The vertices of the original triangle are P(-2,-4), Q(2,5), and R(-1,-8). When we reflect these points in the y-axis, the x-coordinates change their signs. Therefore, the vertices of the reflected triangle are P'(2,-4), Q'(-2,5), and R'(1,-8).