Question

Question
Use the table to answer the question.

Complete the Table for f(θ) for the Given Values of θ
θ
f(θ)

0
π4

π2

3π4

π

Use the table of values to graph the f(θ)=4sin(2θ)
and find the amplitude, midline, and period.

(1 point)
Responses

amplitude=2, midline: y=0
, period =π4

amplitude=2, midline: y is equal to 0 , period is equal to pi over 4

amplitude=4, midline: y=2
, period =π4

amplitude=4, midline: y is equal to 2 , period is equal to pi over 4

amplitude=2, midline: y=4
, period =π2

amplitude=2, midline: y is equal to 4 , period is equal to pi over 2

amplitude=4, midline: y=0
, period =π

amplitude=4, midline: y is equal to 0 , period is equal to pi
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Answer 1

Compute f(θ) = 4 sin(2θ):

- f(0) = 4 sin 0 = 0
- f(π/4) = 4 sin(π/2) = 4
- f(π/2) = 4 sin π = 0
- f(3π/4) = 4 sin(3π/2) = −4
- f(π) = 4 sin 2π = 0

So the table is: 0, 4, 0, −4, 0.

Amplitude = |4| = 4, midline y = 0, period = 2π/2 = π.

(Select: "amplitude=4, midline: y=0, period = π".)