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27 votes
27 votes
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|

User Brian Kelley
by
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1 Answer

25 votes
25 votes

4|x|+3

Step-by-step explanation

Step 1

Let

x represent the independent variable

stretched vertically by a factor of 4, then


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

Step 2

translated up three units


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

so,the answer is B

User ColinKennedy
by
2.6k points
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