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marshall27 [118]
3 years ago
6

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

Mathematics
2 answers:
miv72 [106K]3 years ago
8 0

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.

Kobotan [32]3 years ago
7 0

Answer:

<h2>Horizontal compression by a factor of 3.</h2><h2>Reflection over the x-axis.</h2>

Step-by-step explanation:

The parent function is

f(x)=|x|

The transformed function is

g(x)=-|3x|

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.

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