Question

which equation represents a transformation of the parent function f(x) shown on the graph

Answer 1

SOLUTION

From the picture showing the graph,

the function

$f(x)\text{ was firstly reflected horizontally. }$

This is represented as

$-f(x)$

Then it was further translated by 5 units. That is vertical shift downwards. Giving us

$-f(x)-5$

Hence the answer is

$g(x)=-f(x)-5$