Answer
$$
f(x)=-(x-1)^{4}+2
$$
The given graph is the graph of
$$
y=x^{4}
$$
reflected in the x-axis, and translated 1 units to the right and 2 units upward.
Work Step by Step
$$
f(x)=-(x-1)^{4}+2
$$
The given graph is the graph of
$$
y=x^{4}
$$
reflected in the x-axis, and translated 1 units to the right and 2 units upward.
