Answer
a) D
b) B
c) C
d) A
e) F
f) H
g) E
h) G
Work Step by Step
a) The graph is not reflected on any axes, so it opens up. It has been transformed 2 units up and 4 units left, so its vertex is at (-4, 2).
b) The graph is not reflected on any axes, so it opens up. It has been transformed 4 units up and 2 units left, so its vertex is at (-2, 4).
c) The graph is reflected on the x axis, so it opens down. It has been transformed 2 units up and 4 units left, so its vertex is at (-4, 2).
d) The graph is reflected on the x axis, so it opens down. It has been transformed 4 units up and 2 units left, so its vertex is at (-2, 4).
e) The graph has been inverted and not reflected, so it opens to the right. It has been transformed 2 units right and 4 units down, so its vertex is (2, -4).
f) The graph has been inverted and not reflected, so it opens to the right. It has been transformed 4 units right and 2 units down, so its vertex is (4, -2).
g) The graph has been inverted and reflected on the y axis, so it opens to the left. It has been transformed 2 units right and 4 units down, so its vertex is (2, -4).
h) The graph has been inverted and reflected on the y axis, so it opens to the left. It has been transformed 4 units right and 2 units down, so its vertex is (4, -2).
