SAT Question fe62f031: Nonlinear Functions answer and explanation with Desmos solution

Choice A is correct. It's given that in the xy-plane, the graph of $y=g(x)$ is the result of shifting the graph of $y=f(x)$ up $4$ units. It follows that $g(x)=f(x)+4$. It's also given that function $f$ is defined by $f(x)=3x^5$. Substituting $3x^5$ for $f(x)$ into $g(x)=f(x)+4$ yields $g(x)=3x^5+4$. Therefore, the equation that defines function $g$ is $g(x)=3x^5+4$.