amplitude and period of sinusoids?

Question

hi,

i would like to find out how to solve this problem
given the sinusoids, f(x) = 3 sin 4 x, and g(x) = -6 sin(4 x + 5)
i would like to find/know if the amplitudes of the curves for f and g are the same, if the periods of f and g are the same, if the amplitude of g is twice that of f and finally if the period of g is the same as the period of f shifted by 5 units.

thanks for your help. (hope that made sense in that above sentence :)

Answer 1

f(x) = 3.sin(4x) ; Amplitude 3 ;Period π/2
g(x) = - 6.sin(4x + 5) ; Amplitude 6 ; Period π/2
Thus:-
Ampltudes are not the same.
Periods are the same.
Amplitude of g is 2 times amplitude of f.
Periods are the same shifted by 5 units.

Answer 2

Amplitudes are the same?
no, f has an amplitude of 3, g has an amplitude of 6
Periods the same?
Yes, this is denoted by the 4 in each sin functions argument
The amplitude of g is twice that of f since 2 * 3 = 6. The negative part can be attributed to a phase shift.
The period og g would be shifted to the left by 5 units.