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Given the parent function f(x)=|x|, which equation would occur if the function is vertically compressed by 13, shifted down 6 units, and shifted right 5?


f(x)=3|x+5|−6



f(x)=13|x−5|−6



f(x)=13|x+5|−6



f(x)=13|x−6|+5

Respuesta :

lavanyaande

[tex]f(x)=13|x-5|-6[/tex] is the equation represented by all the operations.

Step-by-step explanation:

The given function is

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

It is vertically compressed by a factor of 13 then the function becomes,

[tex]f(x)=13|x|[/tex]

It shifted down 6 units, then the function becomes,

[tex]\mathbf{f}(\mathbf{x})=\mathbf{1 3}|\boldsymbol{x}|-\boldsymbol{6}[/tex]

It shifted right by 5 units then the function becomes,

[tex]f(x)=13|x-5|-6[/tex]

Thus the resultant equation thus obtained is  [tex]f(x)=13|x-5|-6[/tex]

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