1 / 53

# Jeopardy - PowerPoint PPT Presentation

Jeopardy. Radian Measure. Radian Angles. Graphs and Transformations. Reciprocal Graphs. Rates of Change. 6.1. 6.2. 6.3 – 6.4. 6.5 – 6.6. 6.7. Q \$100. Q \$100. Q \$100. Q \$100. Q \$100. Q \$200. Q \$200. Q \$200. Q \$200. Q \$200. Q \$300. Q \$300. Q \$300. Q \$300. Q \$300. Q \$400.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about 'Jeopardy' - denis

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

Graphs and Transformations

Reciprocal Graphs

Rates of Change

6.1

6.2

6.3 – 6.4

6.5 – 6.6

6.7

Q \$100

Q \$100

Q \$100

Q \$100

Q \$100

Q \$200

Q \$200

Q \$200

Q \$200

Q \$200

Q \$300

Q \$300

Q \$300

Q \$300

Q \$300

Q \$400

Q \$400

Q \$400

Q \$400

Q \$400

Q \$500

Q \$500

Q \$500

Q \$500

Q \$500

Final Jeopardy

Convert the following into radian measure:

75 °

5 π12

Convert the following into degrees:

11π

6

Convert the following into radian measure

- 120 °

- 2π 3

Convert the following into radian measure:

270°

9π 6

Determine the measure of the central angle

that is formed by an Arc length

of 5cm in a circle with a diameter of 5cm.

Explain the CAST Rule

It helps remember where the

Primary trig ratios are positive

Determine the exact value of the trigonometric ratio:

Cos 5π

4

• 1

• √ 2

A leaning flagpole 7m long makes an obtuse angle with the ground.

If the distance from the tip to the flagpole to the ground is 4m,

determine the radian measure of the obtuse angle

to the nearest hundredth.

Sin-1 7

4 = 0.61

Determine the exact value of the trigonometric ratio

Sec 5π

3

Determine the length of AB and angle of D.

A

8 cm

π

6

B

D

8 cm

C

AB = 16 cm

Angle D = 45°

List all of the transformations of a parent function,

Including characteristics of the functions i.e period.

Transformations of the Parent Function

|a| gives the vertical stretch compression factor.

1/k gives the horizontal stretch/compression factor.

d gives the horizontal translation.

c gives the vertical translation.

Characteristics of the Transformed Function

| a | gives the amplitude.

2 pi/ k gives the period.

d gives the horizontal translation.

y = c gives the equation of the axis.

Determine equation of the graph

Y = 5 sin (x + π) + 2

3

Determine the equation of the graph

Y = - 3 cos (2 (x +π )) – 1

4

Determine the equation of the following graph

π

Y = 3 sin (2x) -1

A pendulum swings back and forth 9 times in 6 seconds. It swings through a horizontal distance of 30m. (hint: max = 15m)

a.) Sketch a graph of this motion for one cycle, beginning to the pendulum at the end of its swing.

b.) Find the equation

Y=15cos(3π t)

Sketch graphs of (with values) :Y= Sin x

Y = Cos x

Y = Tan x

Sketch graph of y = sec x - 1

A person who was listening to a siren reported that the frequency of

the sound fluctuated with time, measured in seconds. The minimum

frequency that the person heard was 500 Hz, and the maximum

frequency was 1000 Hz. The maximum frequency occurred at

T = 0 and T = 15. The person also reported that, in 15, she heard

the maximum frequency 6 times (including the times at T = 0 and

T = 15). What is the equation of the cosine function that describes

the frequency of this siren?

Y = 250 cos ( 2 π x) + 750

3

Graph the function y = 2 sec x + 4

Sketch the graph of

y = cot (x)

2

-2 π

- π

π

2 π

Determine AROC:

y = 2 cos (x –π )

4

2 < x < π

- 1.3275

For y = - 5 sin ( 1 x) – 9

2

Find the AROC over the interval

π ≤ x ≤ π

4

-1.311

A ship that is docked in a harbour rises and falls with the waves.

The function models the vertical movement of the ship, h in metres,

at t seconds.

Estimate the instantaneous rate of change in the height of the ship at t = 6

-0.5m/s

Determine AROC:

Y = cos (x – π) + 1

3

π3

π2

< X <

A clock is showing the time as exactly 3:00 p.m. and 25 s. Because a

full minute has not passed since 3:00, the hour hand is pointing

directly at the 3 and the minute hand is pointing directly at the 12. If

the tip of the second hand is directly below the tip of the hour hand,

and if the length of the second hand is 9 cm, what is the length of the

hour hand?

4.5 cm