Answer: A = 4 P = π PS = -π/2
Step-by-step explanation:
y = A sin(Bx - C) + D where
- A is the amplitude
- Period = 2π/B
- Phase Shift = C/B
- D is the vertical shift
Given: y = -4 sin(2x + π) - 3
- A (amplitude) = 4 the negative sign is a reflection, not amplitude
- B = 2
- C = -π
- D = -3
Amplitude = 4
[tex]\text{Period}=\dfrac{2\pi}{B}\quad =\quad \dfrac{2\pi}{2}\quad =\quad \pi[/tex]
[tex]\text{Phase Shift}=\dfrac{C}{B}\quad =\quad \dfrac{-\pi}{2}\quad =\quad -\dfrac{\pi}{2}[/tex]
