Question

The graph below represents the path of a squirrel traveling up and down a tree over time. The position of the squirrel can be calculated using the function p(t) = at^2 + by + c. What is the value of a, b, and c?

Answer 1

Explanation:

i think question should be p(t)=at²+bt+c

when t=0,p(t)=0

0=a×0²+b×0+c

c=0

when t=4,p(t)=16

16=16a+4b+c

16=16a+4b ...(1)

when t=8,p(t)=0

0=64a+8b+c

0=64a+8b

0=16a+2b ...(2)

(1)-(2) gives

16=2b

b=16/2=8

from (2)

0=16a+2×8

16a=-16

a=-16/16=-1

a=-1

b=8

c=0