Question

The linear parent function, f(x)=x, is transformed to g(x)=f(x-6). Describe the transformation

Answer 1

The original function is:

$f(x)=x$

The transformation is given by:

$g(x)=f(x-6)$

This means that we need to replace the value of "x" on the original function by "x-6". So we have:

$g(x)=x-6$

This transformation is a translation of the function. It is moved to the right 6 units and down 6 units.