Find the image of O(-2,-1) after two reflections, first across the line y=-4 and then across the line x = 1(1 point)

Responses

(-2.-7)
(-2.-7)

(4,-9)
(4,-9)

(-2,-9)
(-2,-9)

(4, -7)

Nope

(4, -7)

(4, -7) is correct.

First, reflecting the point O(-2,-1) across the line y=-4:

The distance between the point O and the line y=-4 is 3 units (4 - (-1)). The new y-coordinate after reflection will be -7, so the new point will be O'(-2, -7).

Second, reflecting the point O' across the line x = 1:

The distance between the point O' and the line x=1 is 3 units (1 - (-2)). The new x-coordinate after reflection will be 3, so the final point will be O"(4, -7).