1.
Consider the function
f
(
x
) = –
x
2
+ 5. Write the new equation of the function after it has been translated 3 units down.
A.
f
(
x
) = –(
x
– 3)
2
+ 5
B.
f
(
x
) = –
x
2
+ 2
C.
f
(
x
) = –
x
2
+ 8
D.
f
(
x
) = –(
x
+ 3)
2
+ 5
Hint
2.
Find the range of a parabola if the vertex is (–5, 3) and the parabola opens upward.
A.
range:
f
(
x
)
–5
B.
range:
f
(
x
)
3
C.
range:
f
(
x
)
3
D.
range:
f
(
x
)
–5
Hint
3.
Find the line of symmetry of the graph of
f
(
x
) =
x
2
– 4
x
+ 5.
A.
x
= 2
B.
x
= 1
C.
x
= –2
D.
x
= –1
Hint
4.
Find the
x
-intercepts of the graph of
f
(
x
) =
x
2
– 2
x
– 3.
A.
–1, 3
B.
–1, 4
C.
1, –3
D.
1, –4
Hint
5.
Approximate the solution to
x
3
– 4
x
– 1 =
x
+ 4.
A.
x
= 2.6
B.
x
= 1.3
C.
x
= 0
D.
x
= 5.2
Hint