All categories

2 years ago

What is the vertical shift of the graph of the parent cosecant function to the graph of the function below?

Mathematics

2 answers:

BartSMP [9]2 years ago

7 0

Answer:

3 units down

Step-by-step explanation:

STatiana [176]2 years ago

4 0

Answer:

Option: C is the correct answer.

C. 3 units down.

Step-by-step explanation:

We know that the graph of a cosecant function has a minimum value for a upward open curve as : 1

It could be seen from the graph.

But here the minimum value of the upward open curve in the transformed function is: -2

This means that the vertical shift is given by:

-2-1=-3

This means that there is a vertical shift of 3 units down in the parent function.

You might be interested in

75 points. Will give certified if work is shown and the answer is correct.

Svetach [21]

Volume of the first dwarf planet (r₁ = 832 mi):

$V_1=\dfrac{4}{3}\cdot\pi\cdot r_1^3=\dfrac{4}{3}\cdot\pi\cdot 832^3=\dfrac{2303721472}{3}\pi\approx7.679\cdot10^8\pi\,\text{mi}^3$

Volume of the second dwarf planet (r₂ = 829 mi):

$V_2=\dfrac{4}{3}\cdot\pi\cdot r_2^3=\dfrac{4}{3}\cdot\pi\cdot 829^3=\dfrac{2278891156}{3}\pi\approx7.5963\cdot10^8\pi\,\text{mi}^3$

So difference between the volumes is:

$V_1-V_2\approx7.679\cdot10^8\pi-7.5963\cdot10^8\pi=0.0827\cdot10^8\pi=\boxed{8270000\pi\,\text{mi}^3}$

or if we want exact value (we use (a³-b³) = (a-b)(a²+ab+b²) ):

$V_1-V_2=\dfrac{4}{3}\cdot\pi\cdot r_1^3-\dfrac{4}{3}\cdot\pi\cdot r_2^3=\dfrac{4}{3}\pi(r_1^3-r_2^3)=\dfrac{4}{3}\pi(832^3-829^3)=\\\\\\=\dfrac{4}{3}\pi(832-829)(832^2+832\cdot829+829^2)=\\\\\\=\dfrac{4}{3}\pi\cdot3(692224+689728+687241)=4\pi\cdot2069193=\boxed{8276772\pi\,\text{mi}^3}$

3 0

2 years ago

The sum of two consecutive even integers is 226. What is the larger integer?

Molodets [167]

114. This would make 112 the smaller one 114 +112 ------- 226

7 0

3 years ago

Read 2 more answers

A shipping container will be used to transport several 120-kilogram crates across the

allochka39001 [22]

Answer:

150.833... or 150 and 5/6 crates

Step-by-step explanation:

We can create an equation to solve this.

Let x represent the number of 120 kilogram crates that can be loaded into the chipping container.

120x (weight of the crates) + 5900 (weight already in the container) = 24000 (max weight in the container)

We'll start by subtracting 5900 from both sides to try to isolate x, the number of containers we still need to meet 24000 kilograms.

120x = 18100

Now we just have to isolate x by dividing by 120.

x = 150.83333333333333333333333333333

If you want to use a mixed fraction form for this solution since the 3's keep repeating, it would be 150 and 5/6 crates.

4 0

2 years ago

A researcher conducts a study on the effects of task difficulty (easy, hard) and presence of others (no one else present, 5 othe

MAXImum [283]

Answer:

gcyj gc yj g

Step-by-step explanation:

cgyj jc y gc jyjgcjc gj gcjg jg jgjy g yjcgj

6 0

2 years ago

When one patient with a common cold takes a medicine and the other patient does not take any medicine the person who takes medic

Kobotan [32]

What options can you choose from? I guess it would be something like the medicine works or the medicine is not a placebo

4 0

3 years ago

Read 2 more answers