1.
Find the coordinates of the vertex of the graph of the equation
y
= -3
x
2
- 12
x
- 5.
A.
(2, -41)
B.
(-4, -5)
C.
(1, -20)
D.
(-2, 7)
Hint
2.
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
+ 3)
2
+ 5
C.
f
(
x
) = –
x
2
+ 2
D.
f
(
x
) = –
x
2
+ 8
Hint
3.
Consider the function
f
(
x
) = 2
x
. Find the domain and range.
A.
domain:
all real numbers greater than zero
range:
all real numbers except zero
B.
domain:
all real numbers
range:
all real numbers less than zero
C.
domain:
all real numbers
range:
all real numbers
D.
domain:
all real numbers greater than zero
range:
all real numbers greater than zero
Hint
4.
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
)
–5
D.
range:
f
(
x
)
3
Hint
5.
Approximate the solution to
x
3
– 4
x
– 1 =
x
+ 4.
A.
x
= 5.2
B.
x
= 0
C.
x
= 2.6
D.
x
= 1.3
Hint