contestada

Define a function that transforms the parent root function with a horizontal compression by a factor of 2 and a downward shift of 6 unit

Define a function that transforms the parent root function with a horizontal compression by a factor of 2 and a downward shift of 6 unit class=

Respuesta :

The horizontal compression by a factor of 2 of a function f(x) is expressed as:

[tex]f(x)\to2f(x)[/tex]

Now, for a downward shift of 6 units:

[tex]f(x)\to f(x)-6[/tex]

If the parent function is:

[tex]f(x)=\sqrt[n]{x}[/tex]

Now, combining the transformations above:

[tex]\begin{gathered} f(x)\to2f(x)-6 \\ \Rightarrow f(x)=2\sqrt[n]{x}-6 \end{gathered}[/tex]

Otras preguntas