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For the given parent function, write the equation for g(x), the transformed function of f(x)=|x|, stretched vertically by a factor of 4 and translated up three units Answer Choices A.|4x+3|B.4|x|+3C.4|x+3|

Respuesta :

[tex]4|x|+3[/tex]

Explanation

Step 1

Let

x represent the independent variable

stretched vertically by a factor of 4, then

[tex]\begin{gathered} f(x)=\mleft|x\mright| \\ f^{\prime}(x)=4\mleft|x\mright| \end{gathered}[/tex]

Step 2

translated up three units

[tex]\begin{gathered} f^{\prime}(x)=4\mleft|x\mright| \\ f^{\doubleprime}(x)=g(x)=4|x|+3 \end{gathered}[/tex]

so,the answer is B

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