Answer
See graph and explanations.
Work Step by Step
Step 1. Graph $f(x)=x^4$ as shown in the figure (red curve).
Step 2. Start form $f(x)$, shift 5 units to the left, stretch vertically by a factor of 2, reflect around the x-axis, and then shift 3 units up to get $g(x)=-2(x+5)^4+3$ as shown in the figure (purple curve)
