Question

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|

Answer 1

`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