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Alex777 [14]
1 year ago
11

identify the amplitude and period of the function then graph the function and describe the graph of G as a transformation of the

graph of its parent function

Mathematics
1 answer:
mrs_skeptik [129]1 year ago
8 0

Given the function:

g(x)=cos4x

Let's find the amplitude and period of the function.

Apply the general cosine function:

f(x)=Acos(bx+c)+d

Where A is the amplitude.

Comparing both functions, we have:

A = 1

b = 4

Hence, we have:

Amplitude, A = 1

To find the period, we have:

\frac{2\pi}{b}=\frac{2\pi}{4}=\frac{\pi}{2}

Therefore, the period is = π/2

The graph of the function is shown below:

The parent function of the given function is:

f(x)=cosx

Let's describe the transformation..

Apply the transformation rules for function.

We have:

The transformation that occured from f(x) = cosx to g(x) = cos4x using the rules of transformation can be said to be a horizontal compression.

ANSWER:

Amplitude = 1

Period = π/2

Transformation = horizontal compression.

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Joshua started cycling at 5:15 pm By 8:09 pm, he has covered a distance of 7250 mWhat was Joshua's average speed during that tim
vivado [14]

The average speed of Joshua during that time is 2500 m/h.

Explanation:

It is given that Joshua started cycling at 5:15 pm. By 8:09 pm he has covered a distance of 7250 m.

The total time taken by Joshua from 5:15 pm to 8:09 pm is

2 { h } 54 \text { min }=2 \mathrm{h}+\frac{54}{60} {h}

Dividing we get,

2 { h } 54 \text { min }=2 \mathrm{h}+0.9 {h}

Adding, we have,

2 { h } 54 \text { min }=2.9 {h}

Thus, the total time taken by Joshua is 2.9 {h}

To determine the average speed we use the formula,

speed=\frac{distance}{time}

where distance=7250 and time=2.9

Hence, substituting the values we have,

speed=\frac{7250}{2.9}

Dividing, we get,

speed=2500

Thus, the average speed of Joshua during that time is 2500 m/h.

5 0
3 years ago
If =250, then 50% of n equals
qwelly [4]

If n=250, then 50% of n can also be described as n divided by 2.

50% of n = 250/2 = 125

answer: 125

5 0
3 years ago
Read 2 more answers
What is the value of e?<br> 1190<br> c<br> a<br> O A. 22°<br> OB. 48°<br> 0 C. 61°<br> O D. 180°
DiKsa [7]

Answer:

C. 61 degrees

Step-by-step explanation:

a line is 180 degrees

so e and 119 degrees makes a line

so you subtract 180-119= 61 degrees

4 0
2 years ago
The area of the continent of north america is about 9,540,000 in expamded form using expontes to show powers of 10
Firdavs [7]
Koalagirl133 I think this is the answer I don't know if it is 9,540,000× 10 = 94, 500, 000
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3 years ago
During a professional Field hockey game,every spectator placed his or her ticket sub into one of several containers,after the ga
maria [59]

Answer:

The sixteen people to March in the sportsmanship parade

Step-by-step explanation:

A sample refers to a smaller, manageable version of a larger group. It is a subset containing the characteristics of a larger  population. 

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Since the coach chose 16 people to March in the sportsmanship parade, the sample in this situation, The sixteen people to March in the sportsmanship parade is the sample

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3 years ago
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