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

Amplitude = 4; period = π; phase shift: x = -pie/2

Step-by-step explanation:

For a sine wave of the following type:

y = Asin(Bx + C) + D, we have that:

A represents the amplitude

C represents the phase shift

D represents the vertical shift

And the period is given by:

Therefore, considering: f(x) = −4 sin(2x + π) − 5, we know that sin(a + π) = -sin(a). Then:

f(x) = −4 sin(2x + π) − 5 = 4sin(2x)-5 = 4cos(2x - π/2) - 5

The amplitude equals 4

The period is T = π

The fase shift is: -π/2.

Therefore, the correct option is:

Amplitude = 4; period = π; phase shift: x = -pie/2

i would say the third one.

step-by-step explanation: liner would mean in a line and the only one that doesn't look like it's even thinking about forming a line would be the third one

7. 153.86 ft

8. 12.56 ft

9. 78.5 m

10. 379.94 in

11. 132.665 m

12. 12.56 yd

13. 226.865 ft

14. 113.04 ft

15. 63.585 ft

16. 254.34 m

17. 50.24 cm

step-by-step explanation:

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