Question

if you vertically shift the square root parent function, F(x)=/x, up nine units, what is the equation of the new function?

Answer 1

The new function is;

`G(x)=\sqrt[]{x}+9`

Step-by-step explanation:

Given the parent function;

`f(x)=\sqrt[]{x}`

To move it up 9 units.

Then we will need to add 9 units to the right-hand side of the equation;

`\begin{gathered} G(x)=f(x)+9=\sqrt[]{x}+9 \\ G(x)=\sqrt[]{x}+9 \end{gathered}`

Therefore, the new function is;

`G(x)=\sqrt[]{x}+9`