I NEED HELP
Find the equation of the graph given below. Notice that the sine function is used in the answer template, representing a sine function that is shifted and/or reflected.
Use the variable x in your equation rather than the multiplication × symbol.
y = __ sin (___) + (___)
Answers
Given:
The graph of a sine function.
To find:
The sine function.
Solution:
The general form of a sine function is
[tex]y=Asin(Bx+C)+D[/tex] ...(i)
Where, |A| is amplitude, [tex]\dfrac{2\pi}{B}[/tex] is period, [tex]-\dfrac{C}{B}[/tex] is phase shift and D is mid-line.
From the given graph it is clear that the minimum value of the function is -4 and the maximum value is 0.
[tex]|A|=\dfrac{Maximum-Minimum}{2}[/tex]
[tex]|A|=\dfrac{0-(-4)}{2}[/tex]
[tex]|A|=\dfrac{4}{2}[/tex]
[tex]|A|=2[/tex]
The graph is reflected across the mid-line, so A=-2.
And,
[tex]D=\dfrac{Maximum+Minimum}{2}[/tex]
[tex]D=\dfrac{0+(-4)}{2}[/tex]
[tex]D=\dfrac{-4}{2}[/tex]
[tex]D=-2[/tex]
Period of the function is 4π because it completer its one cycle in the interval of 4π.
[tex]4\pi=\dfrac{2\pi}{B}[/tex]
[tex]B=\dfrac{2\pi}{4\pi}[/tex]
[tex]B=\dfrac{1}{2}[/tex]
Phase shift is [tex]\dfrac{\pi}{4}[/tex].
[tex]-\dfrac{C}{B}=\dfrac{\pi}{4}[/tex]
[tex]-\dfrac{C}{\frac{1}{2}}=\dfrac{\pi}{4}[/tex]
[tex]C=-\dfrac{1}{2}\times \dfrac{\pi}{4}[/tex]
[tex]C=-\dfrac{\pi}{8}[/tex]
Putting [tex]A=-2,B=\dfrac{1}{2},C=-\dfrac{\pi}{8},D=-2[/tex] in (i), we get
[tex]y=-2\sin\left(\dfrac{1}{2}x-\dfrac{\pi}{8}\right)-2[/tex]
Therefore, the required equation is [tex]y=-2\sin\left(\dfrac{1}{2}x-\dfrac{\pi}{8}\right)-2[/tex].
Related Questions
20 points :D
Point A is located at (1,13). Point B is located at (5,8).
Draw parallelogram ABCD in the coordinate grid such that side BC is 7 units long and lies entirely in the first quadrant.
Answers
Answer:
Step-by-step explanation:
A(1,13), B(5,8)
Let C be 7 units to the right of B: C(5+7,8) = C(12,8)
Let D be 7 units to the right of A: A(1+7,13) = A(8,13)
The population of a city in 2000 was 18,500 people. Since then the population has increased 4.8% every year. Determine the correct equation that would represent what the population would be in the year 2028.
Answers
Answer:
see below
Step-by-step explanation:
Consider the year 2000 to be year 0. This would make year 2028 year 8.
Population growth or decay function: [tex]A = Pe^{rt}[/tex]
where A is the final amount, P is the principal amount, r is the rate, and t is time.
[tex]A = 18,500e^{(0.048)(8)}[/tex]
This can be simplified to
[tex]A = 18,500e^{0.384}[/tex]
Hopefully this is what the question is asking!
Help Plz again plzzzzzzzzzzzzzzzz
Answers
The angles are adjacent because they are next to each other adding to 90 degrees.
How do we find x?
Angle 1 + Angle 2 = 90°
31° + (10x - 1)° = 90°
10x + 30 = 90°
10x = 90° - 30
10x = 60°
x = 60°/10
x = 6
Answer: Adjacent and x = 6.
Vita has a piece of ribbon that is 5 meters long. She cuts the ribbon into pieces that are each 1/3 meter long. How many pieces does she cut?
Answers
Answer:
so this is clearly a division problem
the equation will be
5 ÷1/3 Keep switch flip
according to KSF the equation will change to this
5*3 = 15
So she will be able to cut 15 peices.
Thank you, Hope it helps
please help me, correct answers please
Answers
Answer:
41000
Step-by-step explanation:4110000 because i am samrt
help
help
help
por favor
por favor
please
Answers
Answer:
cant help im sorry
Step-by-step explanation:
Answer:ok i don't know but you can copy and paste the question then search it in the search bar because i can guaranty that someone has asked that question before. and then all you got to do that and you can keep your points. hope this helps! ;)
Step-by-step explanation: Plz give brainliest.
What is another way to write 3 x (4+5) = 27?
Pleas help
Answers
Answer:
Step-by-step explanation:
3 x (5+4) = 27
Hope that helps!
The another way to write 3 x (4+5) = 27, is 3 x (5+4) = 27.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
3 x (4+5) = 27
i.e. 3 x (5+4) = 27
Hence, The another way to write 3 x (4+5) = 27, is 3 x (5+4) = 27.
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ2
Simplify the expression 1/2(h+4) - 1/8(h+4) by combining like terms.
A. 1/6 (h+4)
B. 3h/8 + 2/10
C. 3/8 (h-4)
D. 3/8 (h+4)
WILL GIVE BRAINLIEST IF THE ANSWER IS CORRECT.
Answers
Answer:
A.1/6
Step-by-step explanation:
Pleaseee helpp don’t understand!!
Answers
Answer:
Step-by-step explanation: so
First you should have paired attention and I don’t understand either sorry!
x-8/6 = 1/3 what is X
Answers
Answer:
x = 10
Step-by-step explanation:
Answer:
i got the answer 10
x-8/6 =1/3
or, x-8 = 6/3
or, x=8+2 =10
RECTA NUMERICA:
¿Qué puedes concluir acerca de los enteros en general mientras mas a la derecha de la recta se encuentran?
Answers
Can someone please give me the answer I will be marking
u brilliant
Answers
Answer: - 1/5
Step-by-step explanation:
-1/3= -0.333333
1/2= 0.5
-1/5= -0.2
1/4= 0.25
When you compare them, you see that -0.2 is closer to 0. Since -0.2 is equivalent to -1/5, -1/5 is the answer.
Answer:
-1/5
Step-by-step explanation:
it just it
Can you please help?
Answers
Answer:
change in X is 12
Step-by-step explanation:
The new value of the x is 15 and it went from 3, so the change is 12
The factor is 5, so you would multiply each side by 5 and the angles would stay the same
1•5=5 and 3•5=15.
You have your new value, 15, and your old value, 3. Knowing this, to find the difference you would subtract.
15-3=12
2/9 h = 8
h=
Pls tell me what h = !
Answers
Answer:
h=36
.......................
Christopher is 5 less than 3 times as old as Tiara. Their ages together are 75 How old is Tiara?
Please help
Answers
x+3x-5=75
x=20
20x3=60
60-5= 55
CHECK:
55+20=75
therefore Tiara is 20 years old
Answer:
Christopher= 20 and Tiara= 55
Step-by-step explanation:
Christopher has 20
Tiara has 55
if I am not wrong those should be the right ages they have to form 75.
tell me if I am wrong.
Three gallons of gasoline cost $3.36. How much does 5 gallon cost?
Answers
Answer:
Step-by-step explanation:
5gal($3.36/3gal)=$5.60
Answer:
$5.68 i think
Step-by-step explanation:
I GOT THE POWER OF GOD AND ANIME ON MY SIDE
the cost of a ticket increases by 10% to £19.35 work out the original cost
Answers
Answer:
£17.59
Step-by-step explanation:
100 + 10 = 110% (Price of a ticket after increase)
110% = 19.35
1% = 19.35 ÷ 110 = 0.1759
100% = 0.1759 x 100 = 17.59
help please asap. best answer gets brainliest.
Answers
Answer:
Step-by-step explanation:
4 is coefficient
x is variable
12 is constant
X-const
12-variable
What is an equation of the line that passes through the points ( -8, 0) and (8,4)?
Answers
Answer:
the so and bro like its be a like chocie b
Step-by-step explanation:
I need help !! I’ll give brainliest for the correct answer.
Answers
Hope this helps you!
work out the size if angle x 130 degrees and 96 degrees
Answers
Answer:
130= x+96
130-96=x
34=x
Step-by-step explanation:
Answer:
34°
Step-by-step explanation:
130+50=180 (straight line)
50+96=146
180-146=34°
i need help with this is pretty easy pls help me
Answers
Answer:
if its so easy do it yourself, btw thank you for showing me who you are now im telling ms german
Step-by-step explanation:
What the volume?????????
Answers
left rectangular prism: 12 x 2 x 10 = 240
right rectangular prism: 12 x 8 x 2= 192
192 + 240 = 432
volume = 432 m^3
A person invested \$8,700$8,700 in an account growing at a rate allowing the money to double every 15 years. How long, to the nearest tenth of a year would it take for the value of the account to reach \$23,100$23,100?
Answers
Answer:21.13208319 =21.1
Answer: Probly 10 years or less
Step-by-step explanation:
y= 22 + 2x + 3
What are the coordinates of the vertex of the given function?
Answers
What is the probability that a point chosen inside the rectangle is in the shaded triangle?
write as reduced fraction.
Answers
Answer:
wait what
Step-by-step explanation:
I will mark brainlest help
Answers
Answer:
It's a i'm pretty sure
Step-by-step explanation:
5. Which number line represents the solution to the inequality shown below? 9×<36
Answers
Answer:
x<4
Step-by-step explanation:
9x<36
Divide both sides by 9. Since 9 is positive, the inequality direction remains the same.
x<36/9
Divide 36 by 9 to get 4.
x<4
Two girls and three boys are entered in a school raffle that has two prizes. If a person is not allowed to win both prizes, what is the probability that two girls win?
Answers
Answer:
the probability of them both winning is 2/10 or 1/5
Step-by-step explanation:
(2/5)/2=2/10
Or 1/5 like she said
The CEO of a company wants to determine if taking the employees to a company retreat would boost their morale. He decides to use a random number table to survey a simple random sample of 50 of the 250 employees. The employees are assigned the numbers 001–250. Refer to the given line from a random number table. Which numbers represent the first 3 members selected?
46254 58160 09695 38399 40400 32662
462, 545, 816
009, 040, 032
160, 096, 040
046, 025, 045
Answers
Answer:
B.
Step-by-step explanation:
edge2020