What transformations produce the graph of g(x)=- | 3x | from the graph of the parent function f(x)=|x| Select all that apply

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HeyHowsItGoing HeyHowsItGoing

14-02-2019
Mathematics

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What transformations produce the graph of g(x)=- | 3x | from the graph of the parent function f(x)=|x| Select all that apply

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MrGumby MrGumby · Answer 1 · 2019-02-21T02:49:39+01:00

MrGumby MrGumby

21-02-2019

Answer:

This would be a reflection over the x-axis and a vertical stretch by a factor of 3.

Step-by-step explanation:

We can identify the shift over the x-axis by looking at the negative in the front.

We can identify the vertical stretch by noting that the variable is being multiplied by 3, which makes the y value go up 3 times as fast.

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jajumonac jajumonac · Answer 2 · 2020-03-29T01:37:54+01:00

Answer:

Horizontal compression by a factor of 3.

Reflection over the x-axis.

Step-by-step explanation:

The parent function is

[tex]f(x)=|x|[/tex]

The transformed function is

[tex]g(x)=-|3x|[/tex]

Notice that the transformation involves to multiply the function with -1 and multiply the independent variable by 3.

Remember, if we multiple the independent variable by a number greater than 1, then the function will compress horizontally, that is, in the direction of x-axis.

Additionally, if we multiply the function by a negative number as -1, the function graph will reflect across the x-axis.

The image attached shows these transfomations.

Therefore, the right answers are:

Horizontal compression by a factor of 3.
Reflection over the x-axis.