1.
Describe how the graphs of
f
(
x
) = |2
x
| and
g
(
x
) = -|2
x
| are related.
A.
None are true.
B.
The graph of
g
(
x
) is a reflection of the graph of
f
(
x
) over the
y
-axis.
C.
The graph of
g
(
x
) is a reflection of the graph of
f
(
x
) over the
x
- and
y
-axes.
D.
The graph of
g
(
x
) is a reflection of the graph of
f
(
x
) over the
x
-axis.
Hint
2.
If you use the parent graph
y
=
as a reference, how would you
graph
y
=
- 3?
A.
Move the parent graph up 3 units.
B.
Move the parent graph to the right 3 units.
C.
Move the parent graph down 3 units.
D.
Move the parent graph to the left 3 units.
Hint
3.
If you use the parent graph
f
(
x
) = [[
x
]], describe how you would graph
g
(
x
) = 3[[
x
]].
A.
There would be no difference between
f
(
x
) = [[
x
]] and
g
(
x
) = 3[[
x
]].
B.
None of these is correct.
C.
The vertical distance between the steps for
g
(
x
) is 3 units.
D.
The vertical distance between the steps for
g
(
x
) is 1/3 unit.
Hint
4.
If you use the parent graph
y
=
x
2
as a reference, describe how you would
graph
y
= -
x
2
- 3.
A.
Reflect the parent graph over the
x
-axis and then move the graph up 3 units.
B.
Reflect the parent graph over the
y
-axis and then move the graph down 3 units.
C.
Reflect the parent graph over the
y
-axis and then move the graph to the left 3 units.
D.
Reflect the parent graph over the
x
-axis and then move the graph down 3 units.
Hint
5.
If you use the parent graph
as a reference, describe how you would graph
.
A.
Compress horizontally by a factor of
, then move 4 units down.
B.
Compress vertically by a factor of
, then move 4 units down.
C.
Expand vertically by a factor of 3, then move 4 units down.
D.
Expand horizontally by a factor of
, then move 4 units down.
Hint