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g(x) is a transformation of
f(x). The graph shows
f(x) as a solid line and
g(x) as dashed line.
What is
g(x) in terms of
f(x) ?
Choose 1 answer:
(A)
-2f(x)
(B)
2f(x)
(C)
(1)/(2)f(x)
(D) None of the above

$g(x)$ is a transformation of $\newline$ $f(x)$ . The graph shows $\newline$ $f(x)$ as a solid line and $\newline$ $g(x)$ as dashed line. $\newline$ What is $\newline$ $g(x)$ in terms of $\newline$ $f(x)$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $-2f(x)$ $\newline$ (B) $2f(x)$ $\newline$ (C) $\frac{1}{2}f(x)$ $\newline$ (D) None of the above

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Function transformation rules

Full solution

Q.

g(x)

is a transformation of

\newline

f(x)

. The graph shows

\newline

f(x)

as a solid line and

\newline

g(x)

as dashed line.

\newline

What is

\newline

g(x)

in terms of

\newline

f(x)

?

\newline

Choose

1

answer:

\newline

(A)

-2f(x)

\newline

(B)

2f(x)

\newline

(C)

\frac{1}{2}f(x)

\newline

(D) None of the above

Identify Relationship: Identify the relationship between $f(x)$ and $g(x)$ based on the graph. Since the problem statement does not provide specific details about the transformation (such as vertical shift, horizontal shift, stretching, or compression), we must rely on the given choices to infer the type of transformation.
Examine Choice (A): Examine choice (A) $-2f(x)$ . This implies a vertical stretch by a factor of $2$ and a reflection across the $x$ -axis. Without specific details from the graph, we cannot confirm this transformation directly, but we keep it as a possibility.
Examine Choice (B): Examine choice (B) $2f(x)$ . This implies a vertical stretch by a factor of $2$ . Again, without specific details from the graph, we cannot confirm this transformation directly, but it remains a possibility.
Examine Choice (C): Examine choice (C) $(1)/(2)f(x)$ . This implies a vertical compression by a factor of $1/2$ . Without specific details from the graph, we cannot confirm this transformation directly, but it remains a possibility.
Examine Choice (D): Examine choice $(D)$ None of the above. This option suggests that the transformation does not match any of the previously described transformations. Without specific details from the graph, we cannot confirm this directly, but it remains a possibility.
Determine Transformation: Without specific details from the graph, it is impossible to accurately determine the exact transformation from $f(x)$ to $g(x)$ . Therefore, based on the information provided in the problem statement, we cannot definitively choose between the options $(A)$ , $(B)$ , $(C)$ , or $(D)$ .

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Factors, Zeros, and Solutions of Polynomial Equations: Mastery Test

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1

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Select the correct answer from each drop-down menu.

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Use the equation to complete each statement about this function.

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Question

f(x)=\frac{-4(x+4)(x+3)}{(x+4)(x+1)(x+3)}

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2

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\newline

# of Horizontal Asymptotes: None

\newline

# of Holes: None

\newline

# of Vertical Asymptotes: None

\newline

# of x-intercepts: None

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x

-intercept and the

y

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Question

If the product of

t^{2}+kt-5

2t-3

2t^{3}-11t^{2}+2t+15

, then what is the value of

k

\newline

-5

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-4

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2

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3

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Question

\newline

1

1

\newline

\frac{5x^{2}}{x}=5x

\newline

\newline

\newline

6(2x+y-7xy)-3(5x-2y+5xy)

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\newline

x(x^{2}+2xy+y^{2})+4y(x^{2}+3xy+9y^{2})

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\newline

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\newline

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\newline

2\mid03

\newline

\newline

(\sqrt{x}+\sqrt{y})(x-\sqrt{xy}+\(\newline\)y)

\newline

\newline

(x^{3}-xy+y^{3})(x^{3}+xy+y:}

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Question

\newline

y=\pm\frac{16}{14}(x)

\newline

Find the common ratio of the geometric sequence

\newline

\{a_{n}\}_{n=1}^{\infty}

\newline

\begin{align*}\(\newline&\left\{\begin{array}{l}

\newline

-\frac{1}{4}=a_{1}+d \quad d=-\frac{1}{4}-a_{1},(\newline\)a_{2}=-\frac{1}{4},(\newline\)a_{6}=-\frac{12}{243}

\newline

\end{array}\right.

\newline

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