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Math Problems
Algebra 1
Function transformation rules
question: \begin{aligned} y & \geq
4
4
4
x+
2
2
2
\ y & \geq \dfrac{
2
2
2
}{
3
3
3
}x+
2
2
2
\end{aligned} In which of the following does the shaded region represent the solution set in the [xy]-plane to the system of inequalities?
\newline
A)
\newline
B)
\newline
C)
\newline
D)
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How does
h
(
t
)
=
−
2
t
−
1
h(t)=-2t-1
h
(
t
)
=
−
2
t
−
1
change over the interval from
t
=
−
5
t=-5
t
=
−
5
to
t
=
−
2
t=-2
t
=
−
2
?
\newline
h
(
t
)
h(t)
h
(
t
)
decreases by a factor of
6
6
6
\newline
h
(
t
)
h(t)
h
(
t
)
decreases by
6
6
6
\newline
h
(
t
)
h(t)
h
(
t
)
decreases by
8
8
8
\newline
h
(
t
)
h(t)
h
(
t
)
decreases by
4
4
4
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What does the transformation
f
(
x
)
↦
f
(
x
)
−
6
f(x) \mapsto f(x) - 6
f
(
x
)
↦
f
(
x
)
−
6
do to the graph of
f
(
x
)
f(x)
f
(
x
)
?
\newline
Choices:
\newline
(A)
translates it
6
units down
\text{translates it } 6 \text{ units down}
translates it
6
units down
\newline
(B)
translates it
6
units right
\text{translates it } 6 \text{ units right}
translates it
6
units right
\newline
(C)
translates it
6
units left
\text{translates it } 6 \text{ units left}
translates it
6
units left
\newline
(D)
translates it
6
units up
\text{translates it } 6 \text{ units up}
translates it
6
units up
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