Answer:
see attached
Step-by-step explanation:
You want the graph of ∆FGH after dilation by a factor of 1/2 and reflection across the y-axis, where the vertices are F(-2, 2), G(-2, -4), and H(-4, -4).
Transformation
The dilation transformation multiplies each coordinate by 1/2:
(x, y) ⇒ (1/2x, 1/2y . . . . . . . dilation by a factor of 1/2
The reflection transformation changes the sign of the x-coordinate, so the result of both transformations is ...
(x, y) ⇒ (-x/2, y/2)
The dilated figure is shown in red in the attachment. The result of both transformations is shown in blue. Its vertices are ...
F''(1, 1), G''(1, -2), H''(2, -2)
