Answer
$$
f(x)=-(x+3)^{4}+1
$$
The given graph is the graph of
$$
y=x^{4}
$$
reflected in the x-axis, and translated 3 units to the left and 1 units upward.
Work Step by Step
$$
f(x)=-(x+3)^{4}+1
$$
The given graph is the graph of
$$
y=x^{4}
$$
reflected in the x-axis, and translated 3 units to the left and 1 units upward.
