sprecalc7 5 3 004

Hi, I need help with these questions, they are easy, it’s just a matter of time

The sine and cosine curves y = a sin(kx)

and

y = a cos(kx), k > 0

have amplitude

and period

. The sine curve

y = 8 sin(2x)

has amplitude

and period

.

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2.


SPreCalc7 5.3.004.

The sine curve y = a sin(k(x − b))

has amplitude

, period

, and horizontal shift

. The sine curve

y = 9 sin

5

x −

Ï€
4

has amplitude

, period

, and horizontal shift

.

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3.


SPreCalc7 5.3.010.

Graph the function.f(x) = −3 + cos(x)

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4.


SPreCalc7 5.3.014.

Graph the function.g(x) = −

5
8

cos(
x)

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5.


SPreCalc7 5.3.015.

Graph the function.g(x) = 3 + 4 cos(x)

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6.


SPreCalc7 5.3.020.

Find the amplitude and period of the function.y = −sin(4x)

amplitude
period

Sketch the graph of the function.

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7.


SPreCalc7 5.3.022.

Find the amplitude and period of the function.y = cos(4Ï€x)

amplitude
period

Sketch the graph of the function.

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8.


SPreCalc7 5.3.031.

Find the amplitude and period of the function.y = 3 +

1
3

cos(
Ï€
x)

amplitude
period

Sketch the graph of the function.

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9.


SPreCalc7 5.3.037.

Find the amplitude, period, and phase shift of the function.y = −9 sin

5


x +

Ï€
5



amplitude
period

phase shift

Graph one complete period.

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10.


SPreCalc7 5.3.042.

Find the amplitude, period, and phase shift of the function.y = 1 + cos

3
x +

Ï€
4


amplitude
period

phase shift

Graph one complete period.

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11.


SPreCalc7 5.3.045.

Find the amplitude, period, and phase shift of the function.y = sin(Ï€ + 2x)

amplitude
period

phase shift

Graph one complete period.

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12.


SPreCalc7 5.3.048.

The graph of one complete period of a cosine curve is given.WebAssign Plot

(a) Find the amplitude, period, and horizontal shift. (Assume the absolute value of the horizontal shift is less than the period.)

amplitude
period
horizontal shift

(b) Write an equation that represents the curve in the form

y = a cos(k(x − b)).

y =

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13.


SPreCalc7 5.3.050.MI.

The graph of one complete period of a sine curve is given.WebAssign Plot

(a) Find the amplitude, period, and horizontal shift. (Assume the absolute value of the horizontal shift is less than the period.)

amplitude
period
horizontal shift

(b) Write an equation that represents the curve in the form

y = a sin(k(x − b)).

y =

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14.


SPreCalc7 5.3.056.

A graphing calculator is recommended.

Determine an appropriate viewing rectangle for the function, and use it to draw the graph.f(x) = 7 sin(170x)

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15.


SPreCalc7 5.3.060.

A graphing calculator is recommended.

Determine an appropriate viewing rectangle for the function, and use it to draw the graph.f(x) = csc(40x)

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16.