The function g(x) represents f(x) = 9 cosine (x minus StartFraction pi Over 2 EndFraction) + 3 after translating StartFraction pi Over 6 EndFraction units left and 4 units up. Which equation represents g(x)?

g (x) = 9 cosine (x minus StartFraction pi Over 3 EndFraction) minus 1

g (x) = 9 cosine (x minus StartFraction pi Over 3 EndFraction) + 7

g (x) = 9 cosine (x minus StartFraction 2 pi Over 3 EndFraction) minus 1

g (x) = 9 cosine (x minus StartFraction 2 pi Over 3 EndFraction) + 7

Abucket of paint has spilled on a tile floor. the paint flow can be expressed with the function p(t) = 6(t), where t represents time in minutes and p represents how far the paint is spreading. the flowing paint is creating a circular pattern on the tile. the area of the pattern can be expressed as a(p) = 3.14(p)^2 part a: find the area of the circle of spilled paint as a function of time, or a[p(t)]. show your work. part b: how large is the area of spilled paint after 8 minutes? you may use 3.14 to approximate pi in this problem.