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
lbvjy [14]
3 years ago
9

13. Write an equation for the given function given the amplitude, period, phase shift, and vertical shift.

Mathematics
1 answer:
aev [14]3 years ago
8 0

Answer:

y=4sin(\frac{\pi}{2} x+\pi)-2

Step-by-step explanation:

The equation of a periodic  function is in the form:

y = Asin(Bx + C) + D

Where A = amplitude, B = 2π / period, D = vertical shift, phase shift = -C / B.

Given that:

amplitude: 4, period 4 phase shift = vertical shift = -2

Hence:

A = amplitude = 4, B = 2π / period = 2π / 4 = π / 2, D = vertical shift = -2.

Phase shift = -C / B

C = -phase shift * B = - * -2 * π / 2 = π.

Therefore substituting gives:

y=4sin(\frac{\pi}{2} x+\pi)-2

You might be interested in
You have $30 to buy muffins. However, at the shop you can buy 1 muffin for $4. (a) Write an inequality from the above informatio
sattari [20]

Answer:

Let m be the number of muffins.

a) 4m <= 30

b) m <= 7.5, so the maximum number of muffins to buy is 7.

c) $4 × 7 = $28, so $2 will be left over.

8 0
1 year ago
Earning for 3weeks from a part time job shown in the table . He is offered a job that will pay 7.25 per hour . Which job pays be
xz_007 [3.2K]

7.25 hour is better because multiply by eleven and its 79.75 which is higher than the on on the table

3 0
3 years ago
So confused pls help&gt;&gt;&gt;&gt; there’s a pic
Volgvan
25/4 is the right answer have a good day :)
3 0
2 years ago
Read 2 more answers
julio bought a total of 20 medium and large pumpkins if he spent $53 and bought 6 more large pumpkins as medium pumpkins how man
Luda [366]
I think he bought 14 meduim pumpkins and six large pumpkins.
5 0
3 years ago
The sum of two numbers is 136. the difference of the same two numbers is 28.what are the two numbers
denis23 [38]
The larger number is 82 and the smaller number is 54.
8 0
3 years ago
Other questions:
  • What is the answer? 34÷4678.
    7·1 answer
  • What is the common difference, d, of the sequence?
    10·2 answers
  • Write the first five terms of a numerical pattern that begins with 5 and then adds 6
    13·1 answer
  • For each week of work.Aaron gets paid a base amount of $500 plus 25%of his total sales. If y represent his total pay each week a
    13·1 answer
  • Arrange 2/3, 3/5, 5/7 in order from least to greatest?
    6·2 answers
  • Ken paid $12 for two magazines. The cost of each magazine was a multiple of $3. What are the possible prices of the magazines?
    13·2 answers
  • Help me plz with problem I need a lot of help with it
    6·1 answer
  • Quanto falta para a fração 8/6 chegar a 2 inteiros? respondem rapido pfv
    11·1 answer
  • An animal shelter has 36 pets available for adoption. 1/4 of them are puppies. How many are puppies?
    10·1 answer
  • Simplify (x + y)² - (x - y)² + 2xy - 3x²​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!