Question

which functions have the same transformations as f(x)=3csc(x+6)-4? select all that apply

f(x)= 3(x+6)/x-4
f(x)=(3e^x+6)-4
f(x)=3sin(x+4)
f(x)=3(x+6)^2)-4
(x+6)^2+(y-4)^2=3

Answer 1

f(x)=3csc(x+6)-4
is a translation of g(x) = 3csc x of 6 units to the left and 4 units down

f(x)=3(x+6)^2)-4
is a translation of k(x) = 3x^2 of 6 units to the left, and 4 units down

Answer 2

you might want to include the vertical scaling by a factor of 3, as well, though it does not affect the answer.

Answer 3

B) f(x) = 3e^(x+6)-4
and
D) f(x) = 3(x+6)^2-4