Answer:
See graph
Explanation:
The transformation is as follows
The transformation of h(x) to -h(x) - 4 is a combination of two transformations
1. A reflection around the x -axis. Every point(x, y) in h(x) becomes (x', y') where x' = x and y' = -y so (x, y) → (x, -y)
2. A translation of each reflected point 4 units down; x value does not change but y values are shifted down so the new y is y'-4 = -y -4
The result of both transformations is:
every coordinate (x, y) in h(x) will be transformed to (x, -y -4)
Seeing as the graph consists of two straight lines meeting at the origin, all we need to do is take any 3 points in h(x), find the transformed coordinates and connect them with straight ilnes
h(x0 -h(X) - 4
(-2, 4) ⇒ (-2, -4-4) = (-2, -8)
(0, 0 ) ⇒ (0, -0 - 4) = (0, -4)
(4, 2) ⇒ (4, -2 -4) = (4, -6)
take these three points and plot