1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tatuchka [14]
3 years ago
9

The graph of f(x) = sin(x) is transformed to a new function, g(x), by stretching it vertically by a factor of 2 and shifting it

3 units
up
What is the equation of the new function g (x)?
Enter your answer in the box
Health
2 answers:
Maksim231197 [3]3 years ago
7 0
<h3>Answer:   g(x) = 2sin(x)+3</h3>

=============================================

Explanation:

We start with y = sin(x) or f(x) = sin(x). Recall that y = f(x) since both are outputs.

Vertically stretching by a factor of 2 means we multiply each y value by 2.

This means,

y = sin(x)

2y = 2sin(x)

Then we shift 3 units up. So we add 3 to the y coordinate

2y+3 = 2sin(x)+3

---------------------------------------------------

We can track an example point to see this movement in action. For instance, let's focus on the point (pi/6,1/2) which is on f(x). I'm in radian mode.

Stretching f(x) vertically by a factor of 2 means (pi/6,1/2) moves to (pi/6, 1) after the stretching occurs. I multiplied the y coordinate by 2, and kept the x coordinate the same.

Then we shift up 3 units to go from (pi/6, 1) to (pi/6, 4). You add 3 to the y coordinate and keep the x coordinate the same. Note that plugging x = pi/6 into g(x) = 2sin(x)+3 leads to 4.  

SVETLANKA909090 [29]3 years ago
6 0

Answer:

g(x)=2sin(x)+3

Explanation:

You might be interested in
The nasal cavity has two functions.one is to
scZoUnD [109]

The mucosa secretes mucus. Found in the naval cavity, it contains bipolar neurons, also known as olfactory cells, which are very important for being able to have a sense of smell. The dendrites of these olfactory cells reach out of the surface of the mucosa. The axons of these cells are actually bundled together. There are about 20 of these bundled axons, and collectively they are known as the olfactory nerve or the first cranial nerve.

Anatomically, it passes through the cribriform plate found in the ethmoid bone, having synapse with the olfactory bulb, an essential neurological connection that allows the sensation of smell to work. The first cranial nerve can actually be tested by closing one nostril and holding up a smelly object to the other opened nostril to see if the sense of smell is still working. The nasal mucosa is also continuous the sinuses, which not only help warm and moisten the inhaled air, but also provide resonance to the voice and give the face more shape.

3 0
4 years ago
Mi amiga necesita novia y ¿hay alguna chica que quiera salir con ella?
Mumz [18]
Si mándame un mensaje
3 0
2 years ago
13. The average teenage girl worries most about her
d1i1m1o1n [39]
All of the above . because of today society
6 0
3 years ago
Read 2 more answers
BRAINLIEST
shusha [124]

Answer:

A

Explanation:

True

6 0
3 years ago
Read 2 more answers
Sprains and strains are common fitness injuries. Which of the following could be
Fiesta28 [93]

Answer:

A)A twist to a muscle.

4 0
3 years ago
Read 2 more answers
Other questions:
  • Why should we behave good with the neighbours​?
    13·2 answers
  • When a person is suffering with parkinson's disease, one of the symptoms exhibited is difficulty walking. what medical term is d
    12·1 answer
  • Which activity will create tension in the legs?
    5·2 answers
  • Where would you find a synovial membrane?
    8·1 answer
  • Chronic stress
    5·1 answer
  • Which of the following best describes immunisation?
    7·2 answers
  • Writing Prompt
    14·1 answer
  • Really easy question!!! Please Help!
    14·2 answers
  • The muscle that alds in producing a movement but that is not primarily responsible for the movement is considered the
    13·1 answer
  • Question #9
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!