Answer
$$
y=-x^{4}+2x^{3}+10x+15
$$
The graph of $y=-x^{4}+2x^{3}+10x+15$ has both ends down, at most three turning points, and a $y$-intercept of $15$.
This is graph $G$.
Work Step by Step
$$
y=-x^{4}+2x^{3}+10x+15
$$
The graph of $y=-x^{4}+2x^{3}+10x+15 $ has both ends down, at most three turning points, and a $y$-intercept of $15$.
This is graph $G$.