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
You have blemishes and redness on your face. Washing with soap and water doesn't seem to help. Your family physician plans to re
Alexxandr [17]

The answer is dermatologist. Dermatologists specialize in skin care and what not.  
5 0
3 years ago
Read 2 more answers
Team sports are those with multiple players on each side working toward a common goal
Anni [7]
Yes because team does not have a I

3 0
3 years ago
Government is BEST defined as __________.
mars1129 [50]
D is what I would say. 
3 0
3 years ago
Read 2 more answers
Body composition is the ratio of body fat to which of the following lean body mass, water and lean body mass, the muscles, conne
ipn [44]
<span>bone, water, muscle, connective tissue, organ tissues, teeth ... separates the body into fat mass,fat-free mass, mineral content, and water .... tissue into fat and lean components to asses regional body composition ... BMI, Waist hip ratio, skin folds ... using a persons height and weight to determine their healthy body weight.</span><span>
</span>
8 0
3 years ago
Read 2 more answers
Uncontrolled oozing or insecure hemotasis can lead to a
bogdanovich [222]

Answer:

hematoma

Explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • Why is it sometimes i feel warm and sometimes i feel cold when the temperature is the same?
    14·1 answer
  • Which is a short-term effect of nicotine and tobacco use?
    6·2 answers
  • When you have determined the spelling of a surgical term but you are not sure if you have the correct term you should check the
    11·1 answer
  • What claims are made about food supplements
    6·1 answer
  • Describe the four most important finance statement ratios and the four most important operating ratios.
    7·1 answer
  • Helpppp!! When I close my I I cant see!! Can someone tell me why??
    6·2 answers
  • PMS occurs only in females who:
    11·2 answers
  • Why do you think many students overestimate the percentage of eighth graders who use tobacco, alcohol or marijuana?
    8·1 answer
  • What are the set of three muscles located at the ilium and sacrum and connect to the femur; these muscles allow extension, abduc
    15·1 answer
  • 7) When trying to resolve family disagreements, create a(n) ________ solution.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!