Algebra homework

Question

The graph of y=sin x is transformed to y=asin(x-c)+d, by a vertical compression by a factor of 1/4, then translated π/3 units right and 5 units down. The new equation is:

A. Y=4sin(x+π/3) +5

B. Y=1/4sin(x+π\3)-5

C. Y=1/4sin(x-π/3)-5

D. Y=1/4sin(x-π/3) +5

Answer 1

a = the compression factor = 1/4

c = translation to the right = π/3 (Note: For positive c, +c translates to the left, -c to the right)

d = vertical translation = -5 (5 units down)

Put it all together:

Y = (1/4)sin(x - π/3) - 5