Question

What are the amplitude, period, phase shift, and midline of f(x) = −3 sin(4x − ð) + 2?

Amplitude: 3; period: pi over 2; phase shift: x = pi over 4; midline: y = 2

Amplitude: −3; period: pi over 2; phase shift: x = pi over 2; midline: y = 2

Amplitude: 2; period: pi over 4; phase shift: x = pi over 4; midline: y = −3

Amplitude: 2; period: pi over 4; phase shift: x = pi over 2; midline: y = −3

Answer 1

A rain gutter is to be constructed of aluminum sheets 12 inches wide. After marking off a length of 4 inches from each edge, this length is bent up at an angle Θ. The area A of the opening may be expressed as the function: A(Θ) = 16 sin Θ • (cos Θ + 1). If Θ = 60°, what is the area of the opening?

1.2 in2

7.9 in2

16.3 in2

20.8 in2

Answer 2

What cosine function represents an amplitude of 2, a period of 2π, a horizontal shift of π, and a vertical shift of −1?

f(x) = −1 cos πx + 2

f(x) = −1 cos (x − π) + 2

f(x) = 2 cos (x − π) − 1

f(x) = 2 cos πx − 1

Answer 3

The temperature of a chemical reaction ranges between –10°C and 50°C. The temperature is at its lowest point when t = 0 and completes one cycle over a six-hour period. What is a sine function that would model this reaction?

f(t) = 30 sin pi over 3x + 20

f(t) = 60 sin pi over 3t + 30

f(t) = 30 sin 6t + 20

f(t) = 60 sin 6t + 30 @ganeshie8

Answer 4

@zepdrix

Answer 5

What'd you get for the first one?
Amplitude is always positive, that should help cancel out one of the options.

Answer 6

@ganeshie8

Answer 7

I just need help in these five questions! @ganeshie8

Answer 8

Please @ganeshie8

Answer 9

Thought you guys might wanna know about the first one: