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Math Problems
Precalculus
Dilations of functions
1
1
1
. What will be the output of the following snippet
\newline
i
=
0
i=0
i
=
0
\newline
while
i
<
6
i<6
i
<
6
:
\newline
i
t
=
1
i t=1
i
t
=
1
\newline
if
i
=
3
\mathrm{i}=3
i
=
3
:
\newline
break
\newline
print(i)
\newline
or
\newline
What will be the output of the following snippet
\newline
2
2
2
\newline
i
=
0
i=0
i
=
0
\newline
while i
6
6
6
:
\newline
1
+
=
1
1+=1
1
+
=
1
\newline
if
i
=
3
\mathrm{i}=3
i
=
3
:
\newline
continue
\newline
print(i)
\newline
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Which transformations correctly describe the change from the parent graph
y
=
x
2
y=x^{2}
y
=
x
2
to the function
y
=
−
4
x
2
−
5
y=-4x^{2}-5
y
=
−
4
x
2
−
5
? Select ALL that apply.
\newline
a. Vertical Reflection
\newline
b. Horizontal shift right
\newline
c. Vertical Shrink
\newline
d. Horizontal shift left
\newline
e. Vertical Stretch
\newline
f. Vertical shift down
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42
42
42
. Select the box or boxes that represent the transformation of each function from the parent function
f
(
x
)
=
x
f(x)=x
f
(
x
)
=
x
\newline
\begin{tabular}{|l|c|c|c|c|}
\newline
\hline & \begin{tabular}{c}
\newline
Horizontal \\
\newline
Dilation
\newline
\end{tabular} & \begin{tabular}{c}
\newline
Vertical \\
\newline
Reflection
\newline
\end{tabular} & \begin{tabular}{c}
\newline
Vertical \\
\newline
Translation
\newline
\end{tabular} & \begin{tabular}{c}
\newline
Horizontal \\
\newline
Translation
\newline
\end{tabular} \\
\newline
\hline
f
(
x
)
=
∣
x
−
2
∣
+
2
f(x)=|x-2|+2
f
(
x
)
=
∣
x
−
2∣
+
2
& A & B & (C) & (D) \\
\newline
\hline
f
(
x
)
=
∣
2
x
∣
f(x)=|2 x|
f
(
x
)
=
∣2
x
∣
& A & B & (C) & (D) \\
\newline
\hline
f
(
x
)
=
−
∣
x
∣
f(x)=-|x|
f
(
x
)
=
−
∣
x
∣
& A & B & C & (D) \\
\newline
\hline
f
(
x
)
=
∣
x
−
2
∣
f(x)=|x-2|
f
(
x
)
=
∣
x
−
2∣
& A & B & C & (D) \\
\newline
\hline
\newline
\end{tabular}
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Cost flow is most likely in the reverse order in which costs were incurred when using the
\newline
a. first-in, first-out method
\newline
b. first-in, last-out method
\newline
c. weighted average cost method
\newline
d. last-in, first-out method
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Convert
24
24
24
celsius to fahrenheit.
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Given
f
(
x
)
=
log
3
x
f(x)=\log _{3} x
f
(
x
)
=
lo
g
3
x
, describe the transformations applied to
g
(
x
)
g(x)
g
(
x
)
when compared to
f
(
x
)
f(x)
f
(
x
)
if
g
(
x
)
=
−
log
3
(
2
x
−
1
)
+
5
g(x)=-\log _{3}(2 x-1)+5
g
(
x
)
=
−
lo
g
3
(
2
x
−
1
)
+
5
\newline
Answer
\newline
Attempt
1
1
1
out of
3
3
3
\newline
Reflection? Vertical or Horizontal Dilation?
\newline
Stretch or
\newline
Compression?
\newline
by a factor of
\newline
Horizontal Shift unit
\newline
Vertical Shift
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(
1
2
cos
2
(
x
)
+
1
ln
(
x
)
)
x
′
\left(\frac{1}{2}\,\cos^{2}\left(x\right)+\frac{1}{\ln\left(x\right)}\right)'_{x}
(
2
1
cos
2
(
x
)
+
l
n
(
x
)
1
)
x
′
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Coast Guard Station Able is located L
=
160
=160
=
160
miles due south of Station Baker. A ship at sea sends an SOS call that is received by each station. The call to Station Able indicates that the ship is located
N
5
5
∘
E
\mathrm{N} 55^{\circ} \mathrm{E}
N
5
5
∘
E
; the call to Station Baker indicates that the ship is located
S
6
0
∘
E
\mathrm{S} 60^{\circ} \mathrm{E}
S
6
0
∘
E
.
\newline
Use this information to answer the questions below.
\newline
(a) How far is each station from the ship?
\newline
The distance from Station Able to the ship is
□
\square
□
miles.
\newline
(Do not round until the final answer. Then round to two decimal places as needed.)
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