Question

Square Root Funtion:Graphing & analyzing affects a, h & K>>write the equation for each of the following, start with the graph f(x) =√x

Answer 1

Given function is

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

Now, if we shift the graph 2 units right, the function will be

`\begin{gathered} F(x)=f(x-2) \\ =\sqrt[]{x-2} \end{gathered}`

Now, again if we shift the graph 4 units up, the equation will be

`\begin{gathered} g(x)=F(x)+4 \\ =4+\sqrt[]{x-2} \end{gathered}`

The graph of g(x) is shown below.