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Key Features of Sinusoidal Functions

Authored by Barbara White

Mathematics

11th - 12th Grade

CCSS covered

Key Features of Sinusoidal Functions
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13 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

What is the amplitude of the graph?

3

2

-3

-2

Tags

CCSS.HSF-IF.C.7E

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Consider a Ferris wheel, moving in constant motion. At its lowest height of 2 metre above the ground, it loads passengers. It carries passengers to a height of at most 14 metres. How high is the hub of Ferris wheel off the ground (hint: the axis of the curve)?

2m

8m

14m

12m

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the period of y = 2cos(4x)-5

π/3

2π/3

π/2

4.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

In the functions f(x)=Asin[B(x + C)] + D,

D represents what?

(More than one answer may be possible)

Amplitude

Axis of the Curve

Vertical Shift

Horizontal Translation

Tags

CCSS.HSF-IF.C.7E

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do we find the period of the sinusoidal function below?
f(x) = asin(bx)+d

Tags

CCSS.HSF.TF.A.4

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

CCSS.HSF-IF.C.7E

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

A section of a rollercoaster is in the shape of a sinusoidal curve shown below. It has a maximum height above the ground of 51 m and a minimum of 1 m.

What is the amplitude of the rollercoaster?

-20m

50m

25m

15m

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