Question

What is the amplitude, period, and phase shift of f(x) = −4 sin(2x + π) − 5?

Answer 1

@satellite73

Answer 2

@jim_thompson5910

Answer 3

i need help knowing which is which and how to interpret the data

Answer 4

You need to use the general equation:
\[y=A \sin (Bx+C)+D\]
where
|A| = amplitude
Period T = (2 pi)/B
Phase shift = C/B

Answer 5

ok then the amplitude would be -4
the period (2 pi)/2
phase pi/2

Answer 6

Can you take a careful look at the amplitude;
Amplitude = |A|

Answer 7

oh so its 4

Answer 8

Correct. You can simplify your result for the period.

Answer 9

ok thank you very much i understand really well now.

Answer 10

You're welcome :)