Find a and d for the function f(x) = a cos(x) + d such that the graph off matches the figure.​

Find A And D For The Function F(x) = A Cos(x) + D Such That The Graph Off Matches The Figure.

Answers

Answer 1

a = amplitude

d = shift

Just from looking at the graph, I can tell that d = -3.5

The amplitude = 1/2

Answer 2

We want to find the coefficients of a given function such that the graph of the function matches the given graph.

We will get:

a = -0.5

d = -3

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

We start with the general function:

f(x) = a*cos(x) + d.

Let's analyze the graph

In the figure, we can see that the graph passes through the point (0, -3.5)

This means that our function evaluated in x = 0 is equal to -3.5, then we can write:

f(0) = a*cos(0) + d = -3.5

        a + d = -3.5

We also can see that the distance between a peak and a through is 1 unit, and a, the amplitude, must be (in absolute value) half of that. Also note that when x = 0 we have a local minimum, while for the normal cosine we have a local maximum at x = 0, then a must be a negative number.

Then we have that:

a = - (1/2) = -0.5

Now that we know the value of a we can replace it in the other equation to get:

a + d = -3.5

-0.5 + d = -3.5

d = -3.5 + 0.5 = -3

Then the values of a and d are:

a = -0.5

d = -3

The function is:

f(x) = -0.5*cos(x) - 3

And the graph of this can be seen at the end of the answer, where it does not match exactly because the x-scale in the image is in units of pi, while in my graph is in integers.

If you want to learn more, you can read:

https://brainly.com/question/17954123

Find A And D For The Function F(x) = A Cos(x) + D Such That The Graph Off Matches The Figure.

Related Questions

The instructor had saved $3,500 and rents an apartment for $275 monthly. He believes the point (6, 1850) would be on the equation of the line. Is he correct? Explain how to check if a point is on a line. Please I need this right knowWrite a sentence using an adverb clause illustrating the following usage. contrast

Answers

Answer:

Sample Answer: Write the equation using slope and y-intercept in slope-intercept form, y = –275x + 3500. Then, substitute the x and y values of the point into the equation, 1850 = –275(6) + 3500. Simplify to see if both sides are equivalent. Yes, the instructor is correct because both sides are equivalent.

Step-by-step explanation:

Answer:Sample Answer: Write the equation using slope and y-intercept in slope-intercept form, y = –275x + 3500. Then, substitute the x and y values of the point into the equation, 1850 = –275(6) + 3500. Simplify to see if both sides are equivalent. Yes, the instructor is correct because both sides are equivalent.

Step-by-step explanation:

what is the square root of 5

Answers

Answer:

The square root of 5 is 2.2360679775

The square root of 5 is 2.23

Tanya is 6 times younger than her great-grandfather. If a zero is placed between the digits of her age, it will read as the age of her great-grandfather. How old is Tanya?

Answers

Answer:

Tanya is 18 years old.

Step-by-step explanation:

In order to determine this, we assume the following

x =  tens digit of the age of Tanya, and also the hundreds digit of Tanya's great-grandfather age

y = units digit of the age of Tanya, and also the units digit of Tanya's great-grandfather age

Therefore, we have:

10x + y = (1 / 6) * (100x + y)

Multiply both sides by 6, we have:

[10x + y] * 6 = [(1 / 6) * (100x + y)] * 6

60x + 6y = 100x + y

Collect the like terms, we have:

6y - y = 100x - 60x

5y = 40x

Divide through by 5, we have:

y = 8x

That is,

8x = y

Note that x and y has to be single digits. This can only be obtained only when x = 1 and y = 8. And given how x and y is defined above, we have:

The age of Tanya = 18

This can be verified as follows:

18 = 108 / 6

18 * 6 = 108

108 = 108

Therefore, Tanya is 18 years old.

Please 20 points ASAP

Answers

a. (-1, 1)

b. (2, 7)

c. (1, -1)

hope this helps :)

Answer:

a.  -1, 1

b.  2, 7

c.  1, 1

A football team gains 5 yards, then loses 2 yards then gains another 6 yards, then loses 3 yards what is their net gain or loss?

Answers

Answer:

6 yards net gain

Step-by-step explanation:

2.
Factor the common factor out of each expression. Hint, divide the first one by -8.:
a. - 32x - 40
whats the first step

Answers

the first step is to divide both of the numbers by -8, so you would get 4x+5.

what is 75.3% of 1394​

Answers

Answer:

1049.682 is 75.3% of 1394 or as a fraction is 1049 341/500

Step-by-step explanation:

1394/x=100/75.3

(1394/x)*x=(100/75.3)*x       - we multiply both sides of the equation by x

1394=1.32802124834*x       - we divide both sides of the equation by (1.32802124834) to get x

1394/1.32802124834=x

1049.682=x

x=1049.682

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{1049.682}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{75.3\% \: of \: 1394}[/tex]

Convert 75.3 percent into fraction

To convert a percentage to a fraction, divide it by 100

[tex] \dashrightarrow{ \sf{ \frac{75.3}{100} \times 1394}}[/tex]

Calculate

[tex] \dashrightarrow{ \boxed{ \sf{1049.682}}}[/tex]

Hope I helped!

Best regards! :D

I don’t understand this

Answers

AA Postulate. You have two angles available for both triangles.

Given that f(x) = 2x - 2 and g(x) = 5x. Find the value of f(0) + g(3).

Answers

Answer: 13

Step by step explanation:
f(0)=2(0) - 2
=0 - 2
= -2
g(3) = 5(3)
= 15
f(0) + g(3)
= -2 + 15
=13

Which of the following statements is true? A)The number 0 is a natural number.
B)The number 1/2 is an integer.
C)The value π is a rational number.
D) The number -5 is a real number.​

Answers

Answer:

A. The number zero is a natural number

Answer:

These are correct

A) TRUE

B) FALSE

C) FALSE

D) TRUE

a pound of chocolates costs 6 dollars. chris buys p pounds. write an equation to represent the total cost c that chris pays.

Answers

Answer:

y=6x+p

Step-by-step explanation:

Answer:

6p= c bc each pound cost $6 so if u have p pounds, 6p would equal to the cost or c

What is the surface area of a capri sun box with the length of 35cm width of 9 cm and a height of 12cm

Answers

Answer: 3780

Step-by-step explanation: 35 x 9 x 12= 3780

Answer:

3,780 cm

Step-by-step explanation:

L x W x H

Solye for x
7(x + 1) = 21

Answers

Answer:

x = 2

Step-by-step explanation:

Given

7(x + 1) = 21 ( divide both sides by 7 )

x + 1 = 3 ( subtract 1 from both sides )

x = 2

Answer:

x=2

Step-by-step explanation:

7×(x +1)=21

7x +7 =21

7x =21 - 7

7x =14

x=14 :7

x=2

7 ×(2 +1)=21

7 ×3 =21

21 =21

X/2-5=25???????


HELP!!!!

Answers

Answer:

x = 60

Step-by-step explanation:

X/2-5=25

Add 5 to each side

X/2-5+5=25+5

x/2 = 30

Multiply each side by 2

x/2*2 = 30*2

x = 60

Answer:

60

Step-by-step explanation:

x/2 - 5 =25 /×2

x - 10 =50

x=50 +10

x=60

Please 20 points like rn 5 mins left on test

Answers

Answer: counterclockwise rotation of 90° and a reflection over y axis

Step-by-step explanation:

Graph y=-2x+5 only please help quickly
I’ll give brainliest to the quickest person

Answers

Answer:Slope:  − 2 y-intercept:  ( 0 , 5)x 0 5/2 y 5,0

Step-by-step explanation:

Kyle ran 150 feet and 15 seconds how many hours would it take him to run 30 miles

Answers

Answer:

  b.  4.4 hours

Step-by-step explanation:

We can use the conversion factor 1 mi/h = 22/15 ft/s. The required relation is ...

  time = distance/speed

  [tex]\dfrac{30\text{ mi}}{\left(\dfrac{150\text{ ft}}{15\text{ s}}\right)}\times\dfrac{\left(\dfrac{22\text{ ft}}{15\text{ s}}\right)}{\left(\dfrac{1\text{ mi}}{1\text{ h}}\right)}=\dfrac{(30)(22)\text{\h}}{150}\text{ h}=4.4\text{ h}[/tex]

Assuming Kyle can keep up the pace for that distance, it would take him 4.4 hours to run 30 miles.

Describe the transformation from the parent function to f(x)=(x−4)^2

Answers

Answer:

t665656yyt5ttr

Step-by-step explanation:

Find the values of x for which f(x) = g(x).
f(x) = x2 + 2x + 1,
g(x) = 5x + 19

Answers

The x value is -18, hope this helps :)

What is this?
[tex] \frac{f}{4} - 5 = - 9[/tex]

I don't know this one bruh​

Answers

Hey there!

ANSWER: [tex]f=-16[/tex]EXPLANATION:

[tex]\frac{f}{4}-5=-9[/tex]

Simplify both sides and you get:

[tex]\frac{1}{4}f-5=9[/tex]

Now add 5 to both sides and you get:

[tex]\frac{1}{4}f=-4[/tex]

Now you have to multiply both sides and you get:

[tex]f=-16(ANSWER)[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

If 3x + 2 = 6, what is the value of x?

Answers

Answer:

x = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

Given

3x + 2 = 6 ( subtract 2 from both sides )

3x = 4 ( divide both sides by 3 )

x = [tex]\frac{4}{3}[/tex]

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 1.33}}}}}[/tex]

Step-by-step explanation:

[tex] \star \sf \: \: {3x + 2 = 6}[/tex]

[tex] \text{ \sf{ Step 1}}[/tex] : Move 2 to right hand side and change it's sign

[tex] \longmapsto{ \sf{3x = 6 - 2}}[/tex]

[tex] \text{ \sf{  Step \: 2 \: }}[/tex] : Subtract 2 from 6

[tex] \longmapsto{ \sf{3x = 4}}[/tex]

[tex] \text{ \sf{ Step \: 3}}[/tex] : Divide both sides by 3

[tex] \longmapsto{ \sf{ \frac{3x}{3} = \frac{4}{3} }}[/tex]

[tex] \text{ \sf{ Step \: 4 \: }}[/tex] : Calculate

[tex] \longmapsto{ \sf{x = 1.33}}[/tex]

The value of x is 1.33

Hope I helped!

Best regards! :D

~TheAnimeGirl

Solve the equation for x
3x + 5 = 14

Answers

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

[tex]3x+5=14[/tex]

Subtract 5 from both sides:

[tex]3x+5-5=14-5[/tex]

[tex]3x=9[/tex]

Divide both sides by 3:

[tex]\frac{3x}{3}=\frac{9}{3}[/tex]

[tex]x=3[/tex]

Product or (6x+3) and (2x-3)?

Answers

Step-by-step explanation:

(6x+3)x(2x-3)

6x x 2x=12x^2

3 x -3=-9

12x^2-9

Idk if you need to simplify more but I hope it helps!

help me for a kith please

Answers

Answer:

Kith means becoz i am from India

I suck at math but here’s a thocolate thip thookie

Adriana earned a gross income of $46,250 last year. She made $569.10 in IRA contributions, donated $841 to her favorite charity and paid $1,399.03 in home mortgage interest. If Adriana claims a standard deduction of $5,700 and her exemption is $3,650, what is her taxable income?
a.) $34,090.87
b.) $36,330.90
c.) $39,790.87
d.) $34,931.87

Answers

Answer:

B

Step-by-step explanation:

When they ask, for example "What is the value of √100?" are they asking what is the square root of 100?

Answers

Answer: I need help on this tooooooo

Step-by-step explanation:

Answer:

Yes. The term [tex]\sqrt{}[/tex] means "square root".

If there is a number beside the symbol, for example [tex]\sqrt[3]{}[/tex], this means to cube root. But if there is no number, it just simply means square root.

Help please, I need it

Answers

Answer:

  2)  c)  (x-3)² + (y+2)² = 25

  5)  x^2 +y^2 -8x -16y +54 = 0

  6)  x^2 +y^2 -10x -12y +36 = 0

Step-by-step explanation:

2) The standard form equation for a circle is ...

  (x -h)^2 +(y -k)^2 = r^2

You are given the center: (h, k) = (3, -2) and a point on the circle. So, the equation will be ...

  (x -3)^2 +(y +2)^2 = r^2

Since we know a point on the circle we know that ...

  (7 -3)^2 +(1 +2)^2 = r^2 = 16 +9 = 25

So, the circle's equation is ...

  (x -3)^2 +(y +2)^2 = 25 . . . . . matches choice C

__

5) As in the previous problem, the standard form equation is ...

  (x -4)^2 +(y -8)^2 = (-1-4)^2 +(7-8)^2 = 25+1 = 26

To put this in general form, we need to subtract 26 and eliminate parentheses.

  x^2 -8x +16 +y^2 -16y +64 -26 = 0

  x^2 +y^2 -8x -16y +54 = 0

__

6) A circle tangent to the y-axis will have a radius equal to the x-value of the center point.

  (x -5)^2 +(y -6)^2 = 5^2

  x^2 -10x +25 +y^2 -12y +36 = 25

  x^2 +y^2 -10x -12y +36 = 0

how do i solve for equations that have 2 variables

Answers

Answer:

To solve for an equation with two variables, substitute a zero(0) into the other variable and find one variable.

Step-by-step explanation:

To solve for an equation with two variables, substitute a zero(0) into the other variable and find one variable.

Simple Example:

3x+3y=12

Substitute 0 as y,

3x+0=12

3x=12

12/3=4

x=4

Now substitute 4 into the main equation,

3(4)+3y=12

12+3y=12

-12      -12

3y=0

0/3=0

y=0

So the answer is

3(4)+3(0)=12

12=12

need help with this 9/11+3/4=?

Answers

Answer:

1.57

Step-by-step explanation:

9/11+3/4

=1.56818181818181.....

=1.57

Answer:

69/44

Step-by-step explanation:

=(9x4) + (3x11)

___________

       11x4

=69/44 or 1 25/44

tyrone walked 8 miles in a walkathon at a speed of 2 mph how long was he walking

Answers

Answer:

4 hours

Step-by-step explanation:

Distance / Velocity = Time

In this case, 8 / 2 = 4

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