Question

The graph off (in blue) is translated a whole number of units horizontally and vertically to obtain the graph of g (in red).The function fis defined by f(x) = Vx.Write down the expression for g(x).

Answer 1

Given the function below,

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

To find the g(x) by translating f(x),

The function f(x) is translated 4 units horizontally to the right and 3 units vertcally upward to give the function g(x),

Hence, the expression for g(x) will be,

`g(x)=\sqrt[]{x-4}+3`