Function g can be thought of as a scaled version of f(x)=|x|. What is the equation for g(x) ? Choose 1 answer: g(x)=(|x|)/(3) g(x)=|x+4| g(x)=|x|+4 g(x)=3|x|

Given Information: We are given that g can be thought of as a scaled version of f(x)=|x|. This means that g(x) will be a multiple of f(x). The options given are g(x)=(|x|)/(3), g(x)=|x+4|, g(x)=|x|+4, and g(x)=3|x|. We need to identify which of these represents a scaling of f(x).Identifying Scaling: The option g(x)=(|x|)/(3) represents a scaling of f(x) by a factor of 1/3, which means the graph of g(x) would be compressed vertically compared to f(x).Option Analysis: The option g(x)=|x+4| represents a horizontal shift of the graph of f(x) by 4 units to the left, not a scaling.Option 1: Scaling by 1/3: The option g(x)=|x|+4 represents a vertical shift of the graph of f(x) by 4 units upwards, not a scaling.Option 2: Horizontal Shift: The option g(x)=3|x| represents a scaling of f(x) by a factor of 3, which means the graph of g(x) would be stretched vertically compared to f(x). This is the correct representation of a scaled version of f(x).

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Math Problems

Grade 8

Evaluate a nonlinear function

Full solution

Q. Function

g

can be thought of as a scaled version of

f(x)=|x|

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What is the equation for

g(x)

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Choose

1

answer:

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g(x)=\frac{|x|}{3}

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g(x)=|x+4|

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g(x)=|x|+4

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g(x)=3|x|

Given Information: We are given that $g$ can be thought of as a scaled version of $f(x)=|x|$ . This means that $g(x)$ will be a multiple of $f(x)$ . The options given are $g(x)=\frac{|x|}{3}$ , $g(x)=|x+4|$ , $g(x)=|x|+4$ , and $g(x)=3|x|$ . We need to identify which of these represents a scaling of $f(x)$ .
Identifying Scaling: The option $g(x)=\frac{|x|}{3}$ represents a scaling of $f(x)$ by a factor of $\frac{1}{3}$ , which means the graph of $g(x)$ would be compressed vertically compared to $f(x)$ .
Option Analysis: The option $g(x)=|x+4|$ represents a horizontal shift of the graph of $f(x)$ by $4$ units to the left, not a scaling.
Option $1$ : Scaling by $1$ / $3$ : The option $g(x)=|x|+4$ represents a vertical shift of the graph of $f(x)$ by $4$ units upwards, not a scaling.
Option $2$ : Horizontal Shift: The option $g(x)=3|x|$ represents a scaling of $f(x)$ by a factor of $3$ , which means the graph of $g(x)$ would be stretched vertically compared to $f(x)$ . This is the correct representation of a scaled version of $f(x)$ .