The graph of g(x) shown below resembles the graph of f(x)=x^4-x^2 but it has been changed somewhat just did it on apex answer is f(x)=x^4-x^2-2

Solution

               Given , Graph  of    f(x) = x^4 - x^2

               and   , Graph  of   g(x)  =  x^4 - x^2 - 2

               when   graph  of   f(x)   shifted  to  2  units  down  then

               the  new   graph  produced   is   of   g(x)  

                  g(x)  = x^4 - x^2 -  2

                when    graph  of   f(x)    shifted    to   2  units   downward

                then    g(x)  =   x^4  - x^2  -  2  

The graph shifted to 2 units downward

Step-by-step explanation:

we have given that :

graph 1 is  

and graph 2 is  

in new graph 2 there is a shift of 2 units downwards as shown in graph attached  

therefore, the graph change is just a shift of y axis from 0 to -2

refer the attached graph it will help you for clearence