what is the equation of the following graph?

What Is The Equation Of The Following Graph?

Answers

Answer 1

Answer:

Step-by-step explanation:

When figuring out the graph of a sinusoidal, I keep in mind the acronym FPARHM:

F - function (sine or cosine)

P - period

A - amplitude

R - reflections

H - horizontal/phase shift

M - midline

Looking at the graph, we can figure out that the function is sine (since it intersects the origin at its midpoint, the period is [tex]\pi[/tex] (because it repeats every [tex]/pi[/tex] units in the x-direction, the amplitude is 2 (because the graph's extreme points are 2 units away from the midline in the y-direction, there are no reflections, no horizontal/phase shift, and the midline is [tex]y=0[/tex] (since the graph isn't shifted up or down in the y-direction.

Finally, knowing all these parts, we can piece together the equation of the sinusoidal graph. In general, the equations of sinusoidal graphs are in the form [tex]y=a\sin(bx+c)+d[/tex] where [tex]|a|[/tex] is the amplitude, [tex] \frac{2\pi}{|b|}[/tex] is the period, [tex] \frac{c}{b}[/tex] is the horizontal shift, and [tex]d[/tex] is the midline. Additionally, if [tex]a[/tex] is negative, the graph needs to be reflected over the x-axis and if [tex]b[/tex] is negative, the graph needs to be reflected over the y-axis. Knowing this, all we need to do is plug in the amplitude, period, phase shift, and midline to the equation. The equation is [tex]y=2\sin(2x)[/tex]

Hope this helps :)


Related Questions

Solve the problem 4747+38383

Answers

Answer:43,130Solution:

4747+38383=43,130

Answer:

4747

+38383

=43130 that is my answer

What is the measure of angle x?
Enter your answer in the box.
+
1470
x =
1 2 3 4 5 6 7
5.

Answers

Answer:

x=43 degrees

Step-by-step explanation:

Subtract 47 from 90 to get the angle next to 47 degrees which is 43 degrees and x is also 43 degrees because they form vertical angles with each other

A crate of a apples that usually cost 40$ is on sale for 20$ off. what is the sale price for the crate of apples?

Answers

$20, so 40-20= 20 (half of 40) so you could also say that the apples are 50% off
Answer: $32

Step-by-step explanation:

We are trying to find $40 on sale for 20$ off.

40*20/100

40*0.2

You save=$8

40-8

Final Price=$32

Simplify cos^4x+(2cos^2x)(sin^2x)+sin^4x

Answers

Answer:

cos4(x)+2cos2(x)sin2(x)+sin4(x)

Step-by-step explanation:

Find the diameter of a circle with an
area of 99 yd?. Use your calculator's
value of pi and round your answer to
the nearest tenth

Answers

Answer: 832

Step-by-step explanation:

trust i got correct

For the figure below, name each of the following:

Answers

Answer:

PM is radius

NL is diameter

LM is chord

LJ is secant

NJ is tangent

N is point of tangency

P is center

Write and equivalent expression for 88 + 16x + 8.
X = 4

Answers

Answer:

8+88+16x

4=x

Step-by-step explanation:

just reverse it lol

Necesito saber cual funcion es

Answers

Answer:

A function is defined as a relation between a set of inputs having one output each..

Step-by-step explanation:

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

¿Qué es la función explicar?

Una función se define como una relación entre un conjunto de entradas que tienen una salida cada una. En palabras simples, una función es una relación entre entradas donde cada entrada está relacionada exactamente con una salida. Cada función tiene un dominio y un codominio o rango. Una función generalmente se denota por f(x) donde x es la entrada.

The function f(x) = x2 is translated 7 units to the left and 3 units down to form the function g(x). Which represents g(x)?


A. g(x) = (x − 7)2 − 3

B. g(x) = (x + 7)2 − 3

C. g(x) = (x − 3)2 − 7

D. g(x) = (x − 3)2 + 7

Answers

Answer:

B. g(x)=(x+7)^2-3

Step-by-step explanation:

Vertex form is F(x)= a(x-h)^2+k

a is the reflection

h and k are the vertex (x,y) = (h,k)

in this case there is no shrink or stretch (a)

if it is translating left or right it is "h". In this case it is translated left so its -7.  However if you look at vertex form it is "x-h" so -7-7= +7

If it translating up or down it is "K".  In this case it is translated down so its -3.  

If it was translated up or right then its positive.  If it was translated down or left its negative.

After you figure out what h and k are then you just plug it in.  h=-7, k=-3

so the answer in vertex form is, g(x)=(x+7)^2-3

31
33
34
35
= 36
37
38
39
A certain loan program offers an interest rate of 8%, compounded continuously. Assuming no payments are made, how much would be owed after four years on
a loan of S2900?

Answers

Answer:

no sure about the answer

Find the Sum.
29, 8 67
+ 14, 938

Answers

Answer:

44805

Step-by-step explanation:

i just added them together lol

Answer:

the answer is 44805

Step-by-step explanation:

just add them together

solve for x : -30 < -x/4

Answers

x > 120

Step-by-step explanation:

-30 < -x / 4

-30 x 4 < -x

x > 120

Answer:

ight so first you multiply by 4 to isolate x so you get -120<-x next you divide by -1 to get the x so the answer is 120 cause a negative and a negative cancel out and turns to a positive

Step-by-step explanation:

rounded to the nearest hundredth how many meters are in 32 ft (1 m = 3.28)​

Answers

Answer:

9.76 M

Step-by-step explanation:

32/3.28

9.756097561

9.76

juan rolls a fair number cube twice what is the probability that he will roll an odd number on the first roll and an even number in second

Answers

Answer:

1/4

Step-by-step explanation:

[tex]\mathsf{Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ outcomes}}[/tex]

Assuming the number cube has faces number 1 through 6, the probability of rolling any of the number is 1/6.

Therefore,

P(odd number) = P(1) or P(3) or P(5)

                         = 1/6 + 1/6 + 1/6

                         = 3/6

                         = 1/2

Similarly,

P(even number) = P(2) or P(4) or P(6)

                           = 1/6 + 1/6 + 1/6

                           = 3/6

                           = 1/2

⇒ P(odd) AND P(even) = 1/2 × 1/2 = 1/4

The sum or difference of p and q is the of the x-term in the trinomial.​

a. ss. www.
coefficients

Answers

Answer:

coefficient..........


Let R(x) =X-3/x-4. Solve for R(x) <= 0.


Answers

The value of x in the function r(x) = x - 3/x-4 is equal is 3.

To solve this problem, all that is required from us is simply substitute the values and solve for the value of x.

Data;

R(x) = x-3/x-4R(x) = 0What is a Function?

A function from a set A to a set B assigns to each element of A exactly one element of B. The set A is usually the domain of the function while the set B is the codomain of the function.

Given that the function R(x) is

[tex]R(x) = \frac{x-3}{x-4}[/tex]

And also, R(x) is equal to 0.

[tex]R(x) = \frac{x-3}{x-4}\\ 0= \frac{x-3}{x-4} \\0(x-4) = x - 3\\0 = x- 3\\x = 3[/tex]

The value of x in the function is 3.

Learn more on functions here;

https://brainly.com/question/1214333

Maria rolls a regular number cube with sides labeled 1 through 6. How many possible outcomes are there?

Answers

The answer would be 6. One for each side

The points on the graph below represent both an exponential function and a linear function. Complete this table by reading the values from the graph. Estimate any function values that are less than 1. -3 -2 -1 0 1 2 3 Exponential function Linear function At approximately what values of do both the linear and exponential functions have the same value for ?

Answers

The linea function on the table has a constant slope

The linear and the exponential functions have the same value for x as -2.87 and 1.81

How to complete the table?

From the complete question (see attachment for graph), we have the table to be:

x      f(x)    g(x)

-3     -3/2    8

-2      6        4

-1      9/2     2

0      3         1

1      -9/2     1/2

2      -6        1/4

3     3/2      1/8

By analyzing the graphs of two functions, the linear and the exponential functions have the same value for x as -2.87 and 1.81

Read more about functions at:

https://brainly.com/question/725335

1). 15workers can dig a well in 16 days.how long will it take to dig the well by 20 workers?

2). 24 men can do a piece of work in 15 days. in how many days can 45 men do another piece of work 2 times as great

Answers

Answer:

a)12days

b)8days

Step-by-step explanation:

15x16

=240

240÷20

=12days

24x15

=360

360÷45

=8 days

Borrow 1 from the whole number part to rewrite 8 10/24

Answers

7 34/24. Hope this helps!

.................................................................................................

Answers

Answer:

m<B = 141 degrees

Step-by-step explanation:

This shape is a heptagon meaning its angles should have a sum of 900 degrees.

we are given the degrees and we need to ad them up

148+90+120+129+130+142=749

then we subtract 749 from 900 which looks like

900-749=141

from subtracting 749 from 900 we get 141 hence we get our answer that m<B = 141 degrees

Choose the set of numbers with an average of 9.
A) 3, 5, 7, 8, 12
B) 2, 3, 6, 13, 16
C) 2, 4, 8, 11, 20

Answers

Answer:

C. 2, 4, 8, 11, 20.

Step-by-step explanation:

Solution,

Add all the number by numbers together = 45 . Dividing the sum with the total number added together = 45/5 = 9.

Answer:

Step-by-step explanation:

c

A six-sided polygon is shown with sides labeled 12 cm, 10 cm, 10 cm, 8 cm, 6 cm, and 3 cm.
Lily decorated a poster with this polygon for school spirit week. What is the perimeter of Lily's polygon?

A.
149 cm

B.
120 cm

C.
86 cm

D.
49 cm

Answers

Answer:

49cm^2

Step-by-step explanation:

The perimeter is just a continuous line which forms the boundaries of a geometric figure.

The perimeter is just all the sides added up.

12cm+10cm+10cm+8cm+6cm+3cm = 49cm^2

Giving brainliest to people who get this right

Answers

Answer:

A

Step-by-step explanation:

If y is a function of x, then the equation for y would be y=Ix(+or-or*or%) to nI

For this specific event, the proper equation would be y=Ix-0.5I

Breaking down this equation, y equals the absolute value of x-0.5.

So if x was 2, it would go as y=I2-0.5I where y equals 1.5.

An ice cream shop sold 352 scoops of ice cream.25% of the scoops sold were strawberry ice cream.how many scoops of strawberry ice cream were sold

Answers

Answer:

88 scoops

Step-by-step explanation:

Hello!

If 25% of 352 scoops were strawberry, we find 25% of 352

Solve:

25% of 3520.25 * 35288

This means 88 scoops of strawberry were sold.

Image attatched for conversion of decimals, percents, and fractions.

What is the equation of a circle with center (−8, 3) and radius 8?

(x + 8)2 + (y − 3)2 = 64

(x − 8)2 + (y + 3)2 = 64

(x − 8)2 + (y + 3)2 = 8

(x + 8)2 + (y − 3)2 = 8

Answers

Answer:

(x + 8)² + (y - 3)² = 64

Step-by-step explanation:

(x - (-8))² + (y - 3)² = 8²

(x + 8)² + (y - 3)² = 64

If f(x)=3x−1 and f(a)=−43, what is the value of a ??

Answers

Answer:

a = -14

Step-by-step explanation:

f(a) = -43

3a - 1 = -43

3a    = -43 + 1

  3a  = -42

     a = -42/3

    a = -14

Need assistance on this problem

Answers

Answer:

The height of the tower should be 120 m

Step-by-step explanation:

A motorcycle travels 20 miles west and then turns and goes 52° north of west another 38 miles. How far is the motorcycle from its starting point? Round to the nearest tenth.

Answers

Answer:52.7

Step-by-step explanation:

1) Find the angle inside the triangle by subtracting 52 from 180 getting you 128

2)Then we input everything into the law of cosines

x
3
+5x
2
−32x−7 divided by x-4x−4 is x^2+9x+4+\frac{9}{x+4}x
2
+9x+4+
x+4
9

(LOOK CAREFULLY!)
































badddddddiesssssssss hmuuuuuuuu lulllllllllllllllllllllllllllllllllll

Answers

Answer:

The answer is 52x1100=21plus 23= 50010

Step-by-step explanation:

Other Questions
What is 2 , 3492,349 rounded to the nearest hundred? What were you doing when you felt most passionate and alive? How do the features specific to animal and plant cells influence their function? A boy sees a bird sitting on a tree at an angle of elevation of 20. If a boy is standing 10 miles away from the tree, at what height bird is sitting? three of the angles of a quadrilateral are 100, 104 and 44. what is the size of the 4th angle? under a tyranny the power to make political decisions is in the hands of one person called a??... Name two locations and their climate. How does animal signal codes compare with human language in terms of arbitrariness What is 13/31 as a percentage?Give your answer rounded to one decimal place My neighbor has both chickens and roosters. He has a total of 31 birds. The number of chickens is ten more than twice the number of roosters. How many chickens does he have? what are the specifications of camp rohwer Find the volume of a cone with a base diameter of 12 m and a height of 11 m. Select the word from the drop-down menu that most accurately completes the sentence.While some people work for businesses that make things, others provide Choose... like health care, education, and even haircuts! answers to this question areA: laborB: skillsC: servicesD: resources How do i know what's is the number What are the two types of crust in the lithosphere? Which of the following is not manufactured from high-density polythene?A. ContainersB. PipesC. CandlesD. Toys In the winter, monarch butterflies travel from the United States to Mexico, where the weather is warmer. They return to the United States in the spring.-----------------------------------------------------------------------------Which behavior does this scenario describe?o Conditioningo Hibernatingo Imprintingo Migrating Can we do ela on blankly Bonds and currency with little to no value Bank failures and bankrupt businesses Destroyed railroads, farms, and homes High food prices and widespread crop failures This list described conditions found in - A) California following the Gold Rush B) Washington, DC during the War of 1812 C) western territories after the US - Mexican WarD) southern states at the beginning of Reconstruction round to the nearest hundredth