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Math Problems
Precalculus
Transformations of functions
Math To Do, i-Ready
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New lab
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x
+
x+
x
+
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ready.com/student/dashboard/home
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If
f
(
x
)
=
−
4
x
−
2
f(x)=-4 x-2
f
(
x
)
=
−
4
x
−
2
is vertically translated
6
6
6
units up to
g
(
x
)
g(x)
g
(
x
)
, what is the
y
y
y
-intercept of
g
(
x
)
g(x)
g
(
x
)
?
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4
4
4
\newline
−
8
-8
−
8
\newline
6
6
6
\newline
−
2
-2
−
2
\newline
My Progress
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f
(
x
)
=
10
(
1.25
)
x
f(x)=10(1.25)^{x}
f
(
x
)
=
10
(
1.25
)
x
\newline
The function models
f
f
f
, the price of a rare trading card in dollars
x
x
x
years after its initial release in
1993
1993
1993
. Based on the model, what is the price of the trading card
20
20
20
years after its initial release?
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Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line.
\newline
\begin{tabular}{cccccccccccc}
\newline
\hline
x
\mathbf{x}
x
&
9
9
9
&
8
8
8
&
13
13
13
&
10
10
10
&
12
12
12
&
14
14
14
&
6
6
6
&
4
4
4
&
13
13
13
&
7
7
7
&
6
6
6
\\
\newline
y
\mathbf{y}
y
&
7
7
7
.
51
51
51
&
6
6
6
.
56
56
56
&
12
12
12
.
94
94
94
&
7
7
7
.
21
21
21
&
7
7
7
.
56
56
56
&
8
8
8
.
95
95
95
&
6
6
6
.
16
16
16
&
5
5
5
.
55
55
55
&
8
8
8
.
08
08
08
&
6
6
6
.
38
38
38
&
5
5
5
.
81
81
81
\\
\newline
\hline
\newline
\end{tabular}
\newline
Create a scatterplot of the data. Choose the correct graph below.
\newline
A
\newline
B.
\newline
C.
\newline
D.
\newline
Find the equation of the regression line.
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13
X
13 X
13
X
is a point inside triangle
P
Q
R
P Q R
PQR
. It is
3
c
m
3 \mathrm{~cm}
3
cm
from
P
P
P
, and
4
c
m
4 \mathrm{~cm}
4
cm
from Q. How far is
X
\mathrm{X}
X
from
R
\mathrm{R}
R
?
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What is the value of
𝑥
𝑥
x
in the solution to the system of equations?
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2
x
+
2
y
=
11
2x+2y=11
2
x
+
2
y
=
11
\newline
4
x
−
y
=
28
4x-y=28
4
x
−
y
=
28
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CLASSWORK: Un
\newline
Volume of solid
c
\mathrm{c}
c
\newline
Volume Calculat:
x
x
x
\newline
find the area
\newline
. .oom/courses/
1733261
1733261
1733261
/assignments/
21464258
21464258
21464258
? module_item_id
=
55598009
=55598009
=
55598009
\newline
DERIVITA
\newline
Breanna Bowers
\newline
Question
3
3
3
of
10
10
10
\newline
PREV
\newline
Find the exact volume of the solid.
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Iet
x
x
x
hours be the time that he waled at
8
km/h
8\,\text{km/h}
8
km/h
. Then, he walled at
10
km/h
10\,\text{km/h}
10
km/h
for
\quad
kours
\quad
The diatance he walled =
∗
\quad * \quad
∗
Therefore the equation is
−
61
\quad -61
−
61
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It is known that the cube
P
Q
R
S
.
T
U
V
W
PQRS.TUVW
PQRS
.
T
U
VW
has an edge length of
10
10
10
cm. If
A
A
A
is the point in the middle of
P
Q
PQ
PQ
and
B
B
B
lies on
A
R
AR
A
R
so that
W
B
WB
W
B
is perpendicular to
A
R
AR
A
R
, then the length of
W
B
WB
W
B
is
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a. Describe the translation of
△
U
T
A
\triangle \mathrm{UTA}
△
UTA
to
Δ
U
′
T
′
A
′
\Delta \mathrm{U}^{\prime} \mathrm{T}^{\prime} \mathrm{A}^{\prime}
Δ
U
′
T
′
A
′
in words.
\newline
b. Write the transformation rule.
\newline
c. What is the shortest distance between each image point and its pre-image? Round your answer to the nearest tenth.
\newline
6
6
6
. What are the coordinates of the point
(
x
,
y
)
(x, y)
(
x
,
y
)
after being translated
p
p
p
units left and
m
m
m
units up?
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Write the equation for
g
g
g
that represents the indicated transformation of the graph
f
f
f
.
f
(
x
)
=
log
x
f(x)=\log x
f
(
x
)
=
lo
g
x
; translation
3
3
3
units to the left and
2
2
2
units up, followed by a reflection in the
x
\mathrm{x}
x
axis
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f
(
t
)
=
1
,
000
(
1
16
)
t
4
f(t)=1{,}000\left(\dfrac{1}{16}\right)^{^{\scriptsize \dfrac{t}{4}}}
f
(
t
)
=
1
,
000
(
16
1
)
4
t
which of the following is an equivalent form of the function
f
f
f
in which the base of the exponent is
1
2
\dfrac{1}{2}
2
1
?
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Wa Gritan eximimation,
72
72
72
cedidales opended matheratios, oq apiered Anglish and
C
2
C_{2}
C
2
frencle
18
18
18
aploed both mathematios - d Inglsh,
24
24
24
mothemater and Fench ad
20
20
20
ongl'sh and princh
8
8
8
Godidates proed all the theee sublects tow mary Cradidries Were there For the examintion?
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The length of a rectangle's diagonal is
2
29
2 \sqrt{29}
2
29
, and the length of the longer side is
10
10
10
. What is the area of the rectangle?
\newline
A)
116
116
116
\newline
B)
20
29
20 \sqrt{29}
20
29
\newline
C)
10
29
10 \sqrt{29}
10
29
\newline
D)
40
40
40
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evaluate
8
−
m
n
+
p
2
8-\frac{m}{n}+p^2
8
−
n
m
+
p
2
when
m
=
8
m=8
m
=
8
,
n
=
2
n=2
n
=
2
,
p
=
7
p=7
p
=
7
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Which of the following is a correct interpretation of the expression
−
2
−
7
-2-7
−
2
−
7
?
\newline
Choose
1
1
1
answer:
\newline
(A) Start at
−
2
-2
−
2
on the number line and move
7
7
7
to the left.
\newline
(B) Start at
−
2
-2
−
2
on the number line and move
7
7
7
to the right.
\newline
(C) Start at
7
7
7
on the number line and move
2
2
2
to the left.
\newline
(D) Start at
7
7
7
on the number line and move
2
2
2
to the right.
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If
153
=
2
(
z
+
z
)
n
153=2(z+z)n
153
=
2
(
z
+
z
)
n
, then what is the value of
2
n
(
2
z
)
−
193
2n(2z)-193
2
n
(
2
z
)
−
193
?
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The parabola
y
=
x
2
y=x^{2}
y
=
x
2
is shifted down by
3
3
3
units and to the left by
2
2
2
units.
\newline
What is the equation of the new parabola?
\newline
y
=
y=
y
=
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The parabola
y
=
x
2
y=x^{2}
y
=
x
2
is shifted up by
4
4
4
units.
\newline
What is the equation of the new parabola?
\newline
y
=
y=
y
=
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The parabola
y
=
x
2
y=x^{2}
y
=
x
2
is shifted up by
7
7
7
units and to the left by
1
1
1
unit.
\newline
What is the equation of the new parabola?
\newline
y
=
□
y=\square
y
=
□
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The parabola
y
=
x
2
y=x^{2}
y
=
x
2
is scaled vertically by a factor of
1
10
\frac{1}{10}
10
1
.
\newline
What is the equation of the new parabola?
\newline
y
=
y=
y
=
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The parabola
y
=
x
2
y=x^{2}
y
=
x
2
is reflected across the
x
x
x
-axis and then scaled vertically by a factor of
5
5
5
.
\newline
What is the equation of the new parabola?
\newline
y
=
□
y=\square
y
=
□
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The parabola
y
=
x
2
y=x^{2}
y
=
x
2
is scaled vertically by a factor of
2
3
\frac{2}{3}
3
2
.
\newline
What is the equation of the new parabola?
\newline
y
=
y=
y
=
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The parabola
y
=
x
2
y=x^{2}
y
=
x
2
is scaled vertically by a factor of
7
7
7
. What is the equation of the new parabola?
\newline
y
=
y=
y
=
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The parabola
y
=
x
2
y=x^{2}
y
=
x
2
is shifted up by
2
2
2
units and to the right by
3
3
3
units.
\newline
What is the equation of the new parabola?
\newline
y
=
y=
y
=
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The parabola
y
=
x
2
y=x^{2}
y
=
x
2
is shifted down by
6
6
6
units and to the right by
5
5
5
units.
\newline
What is the equation of the new parabola?
\newline
y
=
y=
y
=
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