Answer-
[tex]\boxed{\boxed{g(x)=6-x^4}}[/tex]
Solution-
Here,
[tex]f(x)=3-x^4[/tex]
As it is given that the graphs have the same shape, so it is neither stretched nor shrank i.e nothing is multiplied with x or y.
So, f(x) must have only translated, in order to get g(x).
As the g(x) is above f(x), so it must have been translated up.
The vertex of f(x) is at (0, 3) and vertex of g(x) is at (0, 6).
Hence, it is translated 3 units upward.
So,
[tex]g(x)=f(x)+3[/tex]
[tex]=3-x^4+3[/tex]
[tex]=6-x^4[/tex]
Therefore, the equation of g(x) is [tex]g(x)=6-x^4[/tex]
