1.
Describe how the graphs of
f
(
x
) = |2
x
| and
g
(
x
) = -|2
x
| are related.
A.
The graph of
g
(
x
) is a reflection of the graph of
f
(
x
) over the
x
-axis.
B.
None are true.
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
y
-axis.
Hint
2.
If you use the parent graph
f
(
x
) =
x
2
, describe how you would graph
g
(
x
) = (
x
- 4)
2
- 2.
A.
Move the parent graph left 4 units and up 2 units.
B.
Move the parent graph left 4 units and down 2 units.
C.
Move the parent graph right 4 units and up 2 units.
D.
Move the parent graph right 4 units and down 2 units.
Hint
3.
Sketch the graph of the function
f
(
x
) = |
x
2
- 6|.
A.
B.
C.
D.
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
y
-axis and then move the graph down 3 units.
B.
Reflect the parent graph over the
x
-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 up 3 units.
Hint
5.
Sketch the graph of the function
f
(
x
) =
(
x
+ 1)
3
+ 2.
A.
B.
C.
D.
Hint