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

.

2.

–/1 points
SPreCalc7 5.3.004.

My Notes

Ask Your Teacher

The sine curve y = a sin(k(x − b))
has amplitude

, period

, and horizontal shift

. The sine curve

y = 9 sin

5

x −

π

4

has amplitude

, period

, and horizontal shift

.

3.

–/1 points
SPreCalc7 5.3.010.

My Notes

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Graph the function.f(x) = −3 + cos(x)

4.

–/1 points
SPreCalc7 5.3.014.

My Notes

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Graph the function.g(x) = −

5

8

cos(
x)

5.

–/1 points
SPreCalc7 5.3.015.

My Notes

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

6.

–/1 points
SPreCalc7 5.3.020.

My Notes

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

amplitude

period

Sketch the graph of the function.

7.

–/1 points
SPreCalc7 5.3.022.

My Notes

Ask Your Teacher

Find the amplitude and period of the function.y = cos(4πx)

amplitude

period

Sketch the graph of the function.

8.

–/1 points
SPreCalc7 5.3.031.

My Notes

Ask Your Teacher

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

1

3

cos(
π
x)

amplitude

period

Sketch the graph of the function.

9.

–/1 points
SPreCalc7 5.3.037.

My Notes

Ask Your Teacher

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

5

x +

π

5

amplitude

period

phase shift

Graph one complete period.

10.

–/1 points
SPreCalc7 5.3.042.

My Notes

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

3
x +

π

4

amplitude

period

phase shift

Graph one complete period.

11.

–/1 points
SPreCalc7 5.3.045.

My Notes

Ask Your Teacher

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

amplitude

period

phase shift

Graph one complete period.

12.

–/1 points
SPreCalc7 5.3.048.

My Notes

Ask Your Teacher

The graph of one complete period of a cosine curve is given.
(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 =

13.

–/1 points
SPreCalc7 5.3.050.MI.

My Notes

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The graph of one complete period of a sine curve is given.
(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 =

14.

–/1 points
SPreCalc7 5.3.056.

My Notes

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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)

15.

–/1 points
SPreCalc7 5.3.060.

My Notes

Ask Your Teacher

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

16.

–/1 points