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

Amplitude = 4; period = π; phase shift: x = negative pi over two

Step-by-step explanation:

In this problem you have to use the form a sin (bx-c)+d to find the amplitude, period, and phase shift.

Amplitude:4

Period : π

Phase shift:

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d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

2 and 1.

step-by-step explanation:

plug in each answer. 0 doesn't work, 1 does. so does 2. 4 doesn't:

0 = 1 is not true.

2 = 2 is true.

4 = 4 is true.

8 = 16 is not true.

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