Question

The functions f and g are graphed in the same rectangular coordinate system, shown to the right. If g is obtained from f through a sequence of transformations, find an equation for g.What is the equation for g?g(x)=nothing

Answer 1

To find the expression for function g we need to remember that the transformations are defined as:

Now, from the graph we notice that function g is a reflection over the x-axis from function f; we also notice that then it is traslated 3 units to the right and 3 units up, therefore the expression for function g is:

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