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Math Problems
Precalculus
Dilations of functions
What kind of transformation converts the graph of
f
(
x
)
=
−
x
+
2
f(x) = -x + 2
f
(
x
)
=
−
x
+
2
into the graph of
g
(
x
)
=
−
3
x
+
6
g(x) = -3x + 6
g
(
x
)
=
−
3
x
+
6
?
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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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Convert
24
24
24
celsius to fahrenheit.
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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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