Question

which of the following describes the transformations of g(x)=-(2)^x+4 -2 from the parent function f(x)=2^x

Answer 1

reflection in the x-axis

shift 4 units right

shift 4 units down

Step-by-step explanation

The given function is

`g(x) = - {2}^(x + 4) - 2`

The parent function is

`f(x) = {2}^(x)`

The transformation applied to f(x) to obtain g(x) is of the form

g(x)=-f(x+c)-k

This will shift the graph to the left by c units and shift down by k units and reflected in the x-axis.

For

`g(x) = - {2}^(x + 4) - 2`

The transformation are:

reflection in the x-axis

shift 4 units right

shift 4 units down