Question

if you apply the changes below to the absolute value parent function, F(x)=|x|, what is the equation of the new function? •horizontally compress by multiplying by 11• shift 4 units up

Answer 1

The given information is:

- The parent function is:

`F(x)=|x|`

- The transformations are: horizontal compress by multiplying by 11 and shift 4 units up.

The transformation rules states that horizontal compressions are given by:

`\begin{gathered} f(b*x) \\ \text{ As b=11, then we obtain:} \\ F^(\prime)(x)=|11x| \end{gathered}`

Now, vertical translations are given by:

`f(x)+d`

Where d is the units up. So d=4, then:

`G(x)=|11x|+4`

The answer is C. G(x)=|11x|+4