"color the piece according to your color chart." Do you have that? If you don't, I wouldn't worry, you still did all the work and got all the answers, so your teacher should be fine with it.
ANSWER

EXPLANATION
From the Pascal's triangle,
The coefficients are :
1, 5, 10,10, 5,1
Because of the negative sign, the expansion will alternate sign.

We now put y=5 into the expansion to get,


We can't see the graph so we don't know the question
Let's call animals "a", and birds "b", birds of prey, "p"
so, b=

and p=

what;s the relation of p to a?
we substitude b into the last one:
and p=

so:
p=

p=

p=

p=

which is the answer!