Question

The graph of f(x) is shown below as dashed line. Write an equation for g(x) represented by the solid line.

Answer 1

g(x)=√(x-2)+3

Step-by-step explanation:

Number 12

The function f(x) is defined as follows:

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

We see that the graph of g(x) has a Vertical Translation of f(x) Up by 3 units.

Therefore, we have:

`f(x)+3=\sqrt[]{x}+3`

The graph of f(x) is also Translated Horizontally Right by 2 units.

The equation for g(x) represented by the solid line will then be:

`\begin{gathered} g(x)=f(x-2)+3 \\ g(x)=\sqrt[]{x-2}+3 \end{gathered}`