the graph of f x shown below resembles the graph of g =x2 but it has been stretched somewhat and shifted which of the following could be the equation of f

The Graph Of F X Shown Below Resembles The Graph Of G =x2 But It Has Been Stretched Somewhat And Shifted

Answers

Answer 1

The graph of the function g(x) is a quadratic equation

The possible equation of the function f(x) is f(x) = 2(x - 3)^2 + 3

How to determine the possible equation of f(x)?

From the question, we have:

g(x) = x^2 --- the equation of the graph

The function f(x) is in the first quadrant.

This means that the function g(x) is shifted right and up.

This is represented as:

f(x) = (x - h)^2 + k

When stretched, the function becomes

f(x) = a(x - h)^2 + k

Where:

a > 0

From the list of given options;

The equation that has the form f(x) = a(x - h)^2 + k is

f(x) = 2(x - 3)^2 + 3

Hence, the possible equation of the function f(x) is f(x) = 2(x - 3)^2 + 3

Read more about function transformation at:

https://brainly.com/question/17586310


Related Questions

Need help with calculus asap with steps

Answers

Answer:

p=7/2

Step-by-step explanation:

Rember that a p series can be represented by

[tex] \frac{1}{k {}^{p} } [/tex]

Here, notice that

[tex] \frac{1}{8 \sqrt{2} } = \frac{1}{2 {}^{3} \sqrt{2} } = \frac{1}{2 {}^{3} \times 2 {}^{ \frac{1}{2} } } = \frac{1}{2 {}^{ \frac{7}{2} } } [/tex]

This is true for all parts of the series because

[tex]27 \sqrt{3} = 3 {}^{ \frac{7}{2} } [/tex]

So p=7/2

the average car on the highway travels 65 miles per hour. if someone has been driving for 4.5 hours how many miles have they driven (Help)

Answers

Answer:

292.5

Step-by-step explanation:

Since they are driving 65 miles for every hour, you can multiply the 65 miles by 4.5

So:

65 * 4.5 = 292.5

What is the product of 3/4 and -6/7?

Answers

Answer:

-9/14

Step-by-step explanation:

Hey there!

Guide:

• Difference means subtract/subtraction
• Product means multiply/multiplication
• Sum means add/addition
• Quotient means divide/division


• Now that we know what “product” means… we can make the question/equation easier to solve.

3/4 × -6/7

= 3(-6) / 4(7)

= -18 / 28

= -18 ÷ 2 / 28 ÷ 2

= -9 / 14


Therefore, your answer is: -9/14


Good luck on assignment & enjoy your day!


~Amphitrite1040:)

Quadrilateral A B C D is shown. Sides A D and B C are parallel. Sides A B and C D are congruent. Angle A is 115 degrees.
What is the measure of ADC in quadrilateral ABCD?

45°
65°
115°
135°

Answers

65° if parallelogram115° if trapezoidSolution to the problem

Since no diagram attached there are two possible options.

Option 1

The quadrilateral is parallelogram.

In this case ∠A and ∠D sum up to 180°, therefore:

ADC = 180° - 115° = 65°

Option 2

The quadrilateral is isosceles trapezoid.

In this case ∠A is congruent with ∠D, therefore:

∠ADC = ∠A = 115°

Answer:

115

Step-by-step explanation:

The speeds of four racing cars are 146.633 mph, 150 mph, 151.971 mph, and 141.428 mph. Find the average speed of the 4 cars correct to 5 significant digits.

Answers

Answer:

I think the average speed is 160mph or 180mph

Answer: I guess it is 180180mph

Step-by-step explanation:

SOLVE ASAP PLEASE Point theif = ban

Answers

Answer:

Given dimensions of room:

length = 12 ftwidth = 14 ftheight = 8 ft

Given cost of materials:

floor tiles = $4 per ft²wall & ceiling paint = $16 per 146 ft²

Total square feet of floor = length × width

                                          = 12 × 14

                                          = 168 ft²

Total cost of flooring = $4 × 168

                                   = $672.00

Total square feet to be painted = area of walls + area of ceiling

                                                    = 2(12 × 8) + 2(14 × 8) + (12 × 14)

                                                    = 584 ft²

Total cost of paint = (584 ÷ 146) × $16

                              = $64.00

Total cost to tile and paint the room = $672 + $64

                                                            = $736.00

Justin runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?
miles

Answers

Answer:

2.8 Miles

Step-by-step explanation:

If 7m is 60mins

How many miles is 24 mins

solution:

take unknown miles to be 'x'

7m=60mins

Xm=24mins

cross multiply

7×24/60=2.8m

x=2.8miles

The Shah family basement floor is shaped like a tropezoidal. The basement has sides of 36 feet and 24 feet and two sides of 21 feet. They are going to carpet the basement. The carpeting will cost $35 per square yard. What is the area, in square feet, of the basement floor?​

Answers

The area in square feet of the the basement floor that is trapezoidal is  603.6 feet square.

Area of a trapezium

area = 1 / 2 (a + b)h

where

a and b are the base of the trapeziumh = height of the trapezium.

Therefore,

a = 24 ft

b = 36 ft

h² = 21² - 6²

h² = √405

h = 20.1246117975

h = 20.12 ft

Therefore,

area = 1 / 2 (24 + 36)20.12

area = 603.6 ft² = 67.066667 yard²

Therefore,

1 yard² = $35

67.1 yard² = ?

cost of carpeting = 35 × 67.1 = $2348.5

learn more on trapezium here: https://brainly.com/question/8591668

Ms Lim bought x pencils and two more pens than pencils. (b) Each pencil costs 60 cents and each pen costs $2. Write down, in terms of x, the total cost in dollars of the pencils and pens which Ms Lim bought​

Answers

Answer:

0.60x + ((x+2)(2)) = total cost

Step-by-step explanation:

The pencils = 60 cents

0.60x = (0.60, the money, multiplied by x number of pencils)

The pens = 2 dollars

2(x+2) = (2, the money, multiplied by x number of pencils + 2 more pens)

Answer:

($2.60x + $4  = TC(x)

Step-by-step explanation:'

The number of pens bought would be x + 2, where x is the number of pencils bought.  Then:

Total cost = ($0.60/pencil)x + ($2/pen)(x + 2) = ($2.60x + $4  = TC(x)

The table shows temperatures below freezing measured in different units. Complete the equation in standard form to represent the relationship between F, a temperature measured in degrees Fahrenheit, and C, a temperature measured in degrees Celsius.

Answers

The relationship between the temperature in celsius to the temperature in Fahrenheit is C = (5/9)(F - 32)

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let F represent temperature measured in degrees Fahrenheit, and C, a temperature measured in degrees Celsius.

At 0°C, the temperature is 32°F. Also at 100°C, the temperature is 212°F, hence:

[tex]C-0=\frac{100-0}{212-32} (F-32)\\\\C=\frac{5}{9} (F-32)[/tex]

The relationship between the temperature in celsius to the temperature in Fahrenheit is C = (5/9)(F - 32)

Find out more on equation at: https://brainly.com/question/297283

Which set shows an average of 8?
A) A
B) B
C) A and B
D) none of the above

Answers

Answer: D

Step-by-step explanation:

None of the above

Answer:

Step-by-step explanation:

d

Are you the person you want to be?

i know it's not math but please answer

Answers

Answer:

yes because no one is perfect than god.

Find the value of x.

Answers

Answer:

6 .x = 121°

Sum of all interior angles of a 7 sided polygon is 900°.

What is five sixths divided by nine thirds?

Answers

Answer:

0.270.27777777777

Step-by-step explanation:

You draw a diagram and color each side in for both of them

The area labeled B is 9 times the area labeled A. Express b in terms of a.
b=_____?

Answers

Hi there!

For the graph on the left, we know that the area A is equal to:
[tex]A = \int\limits^a_0 {e^x} \, dx[/tex]

Area 'B' is 9 times this area, so:
[tex]B = 9 \cdot \int\limits^a_0 {e^x} \, dx[/tex]

We can evaluate the integral:
[tex]B = 9 \cdot \int\limits^a_0 {e^x} \, dx \\\\B = 9 \cdot e^x \left \| a}} \atop {0}} \right. \\\\B = 9 (e^a - 1)[/tex]

We also know that:
[tex]B = \int\limits^b_0 {e^x} \, dx[/tex]

Evaluate:

[tex]B = e^x \left \| b}} \atop {0}} \right. = e^b - 1[/tex]

Set the two equations for 'B' equal:
[tex]e^b - 1 = 9(e^a - 1)\\\\e^b - 1 = 9e^a - 9 \\\\e^b = 9e^a - 8[/tex]

Take the natural log of both sides:
[tex]ln(e^b) = ln(9e^a - 8)\\\\\boxed{b = ln(9e^a - 8)}[/tex]

find the value of 85²-15² using the difference of two squares method ​

Answers

Answer:

[tex]7000[/tex]

Step-by-step explanation:

Recall the form of the difference of squares.

[tex]x^2 - y^2 = (x+y)(x-y)\\\\\\[/tex]

Now let's apply it to your numbers:

[tex]85^2 - 15^2 = (85 + 15)(85 - 15)[/tex]

Simplify:

[tex](100)(70) = 7000[/tex]

ABDE is a rectangle on coordinate axes, the sides of the rectangle are parallel to the axes,
Point C is the centre of the rectangle
What are the coordinates of B and D

Answers

The coordinates of B and D are the location of the vertices B and D in the rectangle

The coordinates of B and D are (55, 30) and (55, 14)

How to determine the coordinates of B and D?

From the figure of the rectangle, we have:

A = (25,30)

C = (40, 22)

Point B has the same y-coordinate as point A

So, we have:

B = (x, 30)

The x-coordinate is then calculated as:

Bx = 2Cx - Ax

This gives

Bx = 2*40 - 25

Bx = 55

So, the coordinates of B are:

B = (55, 30)

Point D has the same x-coordinate as point B

So, we have:

D = (55, y)

The y-coordinate is then calculated as:

Dy = Cy - (By - Cy)

This gives

Dy = 22 - (30 - 22)

Dy = 14

So, the coordinates of B are:

D = (55, 14)

Hence, the coordinates of B and D are (55, 30) and (55, 14)

Read more about rectangles at:

https://brainly.com/question/10737082

Which expression has a value 48?
.A) (4 + 5): 32-9 +3
.B) 4+ 5 • (32 - 9) + 3
.C) 4+ 5.3?(-9+3)
.D) 4+5•3²-9= 3


20 brainly points asap​

Answers

Hey there!

Option A.

(4 + 5) * 3^2 - 9 ÷ 3^2

= 9 * 9 - 9 ÷ 9

= 81 - 1
= 80


Thus, that answer is: [incorrect]

Option B.
4 + 5 * (3^2 - 9) + 3^2

= 4 + 5 * (9 - 9) + 9

= 4 + 5 * (0) + 9

= 4 + 5(0) + 9

= 4 + 0 + 9

= 4 + 9

= 13

Thus, that answer is also [incorrect]

Option C.

4 + 5 * 3^2(-9 ÷ 3^2)

= 4 + 5 * 3^2(-9 ÷ 9)

= 4 + 5 * 3^2(-1)

= 4 + 5 * 9(-9)

= 4 + 5(9) * -1

= 4 + 45 * -1

= 4 - 45

= -41

Thus, that answer is also [incorrect]


Option D.
4 + 5 * 3^2 - 9 ÷ 3^2

= 4 + 5(9) - 9 ÷ 9

= 4 + 45 - 9 ÷ 9

= 49 - 9 ÷ 9

= 49 - 1

= 48

Therefore, your answer is: Option D.

Good luck on your assignment & enjoy your day l!


~Amphitrite1040:)

Answer:

Option D

Step-by-step explanation:

To find out which expression has a value of 48, we need to recall the PEMDAS (where: P = Parenthesis, E = Exponents, M/D = Multiplication or Division, A/S = Addition or Subtraction).

A) [4 + 5] × 3² - 9 ÷ 3²

First, simplify the expression in the parenthesis as PEMDAS

⇒ [9] × 3² - 9 ÷ 3²

Pull the "9" out of the parenthesis

⇒ 9 × 3² - 9 ÷ 3²

Simplify the exponents as PEMDAS

⇒ 9 × 9 - 9 ÷ 9

Multiply the first two terms in the expression as PEMDAS

⇒ 81 - 9 ÷ 9

Divide the last two terms as PEMDAS

⇒ 81 - 1

Finally, simplify the expression.

⇒ 80

⇒ 48 ≠ 80

B) 4 + 5 × (3² - 9) ÷ 3²

First, simplify the expression in the parenthesis as PEMDAS.

We can see here that the expression in the parenthesis includes a constant with a negative sign and an exponent. To simplify the expression, we need to simplify the exponent. Once the exponent is simplified, we can simplify the expression in the parenthesis.

4 + 5 × (3² - 9) ÷ 3²

4 + 5 × (9 - 9) ÷ 3²

4 + 5 × (0) ÷ 3²

Pull the "0" out of the parenthesis

4 + 5 × 0 ÷ 3²

Simplify the exponent as PEMDAS

4 + 5 × 0 ÷ 9

Multiply the middle two terms as PEMDAS

4 + 0 ÷ 9

Divide the last two terms as PEMDAS

4 + 0

Add the two terms in the expression as PEMDAS

4

4 ≠ 48

C) 4 + 5 × 3²(-9 ÷ 3²)

First, simplify the expression in the parenthesis as PEMDAS

⇒ 4 + 5 × 3²(-9 ÷ 3²)

⇒ 4 + 5 × 3²(-9 ÷ 9)

⇒ 4 + 5 × 3²(-1)

*3²(-1) can also be written as 3² × -1*

⇒ 4 + 5 × 3² × -1

Simplify the exponent as PEMDAS

⇒ 4 + 5 × 9 × -1

Multiply the last three terms as PEMDAS

⇒ 4 + 5 × 9 × -1

⇒ 4 + (-45)

Add/Subtract the last two terms as PEMDAS

⇒ 4 - 45

⇒ -41

D) 4 + 5 × 3² - 9 ÷ 3²

Since there are no parenthesis in the expression, we can start simplifying this expression by simplifying the exponents.

⇒ 4 + 5 × 3² - 9 ÷ 3²

⇒ 4 + 5 × 9 - 9 ÷ 9

⇒ 4 + 5 × 9 - 9 ÷ 9

Multiply the second and the third terms as PEMDAS

⇒ 4 + 45 - 9 ÷ 9

Divide the last two terms as PEMDAS

⇒ 4 + 45 - 1

Add/Subtract the terms as PEMDAS

⇒ 4 + 44

⇒ 48

⇒ 48 = 48 ✔✔

In conclusion, we can say that option D is correct because the expression of Option D has a value of 48.

5. CD has an endpoint at (2, -1) and a midpoint at (8,3). Which measure is closest to the length of CD?
A 20.4 units
B 8.9 units
C 14.4 units
D 11.7 units​

Answers

Answer: C

Step-by-step explanation:

the equation for X is

[tex]\frac{2+x}{2} =\frac{8}{1}[/tex]  use proportion to solve

2 + x = 16

x = 14

(14,y)

The equation for Y is

[tex]\frac{-1+y}{2} =\frac{3}{1}[/tex] use proportion to solve

-1 + y = 6

y = 7

(14,7)

now use the distance formula

(14,7) (2,-1)

which gets you 14.4 or C

Find the value of each variable in the parallelogram.

Answers

Answer:

x = 9 and y = 15

Step-by-step explanation:

this is the answer because each side is equivalent to the parallel line so y would be whatever is across from it

Answer:

y=15

x=9

Step-by-step explanation:

they are parallel and equal to the opposite sides

After eating a meal at a restaurant, we decided to tip 25%, building a grand total of $87.50. What was the price before the tip?

Answers

Answer:

65.62

Step-by-step explanation:

Given:

After eating a meal at a restaurant, we decided to tip 25%, building a grand total of $87.50.

To find:

Price before tip

Solution:

87.50 × 25% = 21.875

~Round~: 21.875 to 21.88

87.50 - 21 .88 = 65.62

Thus the price before the tip is 65.62

Check Answer:

Formula: Higher number - Lower number ÷ original number × 100

Solve:

87.50 - 65.62 = 21.88

21.88 ÷ 87.50=0.25005714285

0.25005714285 × 100 = 25.0057142857

Round - 25%

 

~lenvy~

Which point is on the graph of the inverse function g–1(x)?

(–3, 0)
(0, –3)
(2, 3)
(3, 4)

Answers

Answer:

A

Step-by-step explanation:

The answer is (-3,0) which is A.

Answer:

A

Step-by-step explanation:

Ryan buys some jumpers to sell on a stall.
He spends £130 buying 40 jumpers.
He sells 80% of the jumpers for £12 each.
He then puts the rest of the jumpers on a Buy one get one half price offer.
He manages to sell half the remaining jumpers using this offer.
How much profit does Ryan make?

Answers

80% of 40 = 32
32*£12 = £384
40-32=8
4*12=£48
4*6=£24
384+48+24=£456

456-130= £326 profit

Need help with this question.Find the value of x

Answers

Answer:

x=14

Step-by-step explanation:

According to Thales' theorem, the triangle inside 6,7,8 is similar to the triangle 12,x,16:

[tex]\frac{12}{6}= \frac{16}{8} =\frac{x}{7} =2[/tex]

[tex]x=7(2)=14[/tex]

Hope this helps

1. A group of 34 women sells at least one of the following foodstuffs: yam, maize and plantain. Of those, 22 sell yam, 14 sell maize, 18 sell plantain, 7 sell both yam and maize, 9 sell yam and plantain and no one sells all three items.

i. Draw a Venn diagram to illustrate this information

ii. Find the number who sell maize aiind plantain

iii. What is the probability that a woman selected at random from the group sells plantain only?

Answers

Answer:

Please see Explanation

Step-by-step explanation:

[tex]a)\ As\ shown\ in\ the\ figure.[/tex]

[tex]b)\ According\ the\ picutre,[/tex]

[tex]we\ know\ only\ 3\ people[/tex]

[tex]sell\ maize\ and\ 5\ people\ sell\ plantain.[/tex]

I hope this helps you

:)

The 3 people sell only maize, 5 people sell only plantain and 4 people sell maize and plantain and the probability that a woman selected at random from the group sells plantain only is 0.147.

It is given that a group of 34 women sells at least one of the following foodstuffs: yam, maize, and plantain.

22 sell yam, 14 sell maize, 18 sell plantain, 7 sell both yam and maize, 9 sell yam and plantain, and no one sells all three items

What is the Venn diagram?

It is defined as the diagram that shows a logical relation between sets.

The Venn diagram consists of circles to show the logical relation.

i) Venn diagram is shown in the picture below:

ii) As per the picture 3 people sell only maize, 5 people sell only plantain        

   and 4 people sell maize and plantain.

iii)  Total number of women in the group = 34

     The number of women who sells plantain = 5  

We know the probability = [tex]\rm \frac{favorable \ event}{total \ outcome}[/tex]

Probability [tex]=\frac{5}{34} \\\\\\= 0.147\\[/tex]

Thus, the 3 people sell only maize, 5 people sell only plantain      

and 4 people sell maize and plantain and the probability that a woman selected at random from the group sells plantain only is 0.147.

Learn more about the Venn diagram here:

https://brainly.com/question/1024798

Explain how to find the length of one side of a regular polygon if you are given its perimeter.
I

Answers

Answer:

If you are only given the perimter, then you can only find the side lengths of a square

Step-by-step explanation:

e.g. say perimeter = 16

16 / 4 = 4 so each length is 4.

Karen, Lamar, and John sent a total of 160 text messages over their cell phones during the weekend. John sent 4 times as many messages as Lamar. Lamar sent 10 fewer messages than Karen. How many messages did they each send?

Answers

Answer:

Karen= 35 messages

Lamar= 25 messages

John= 100 messages

Step-by-step explanation:

[tex]\textcolor{steelblue}{\text{\textcircled{1} Define the variables}}[/tex]

Let the number of messages Karen, Lamar and John send be K, L and J messages respectively.

[tex]\textcolor{steelblue}{\text{\textcircled{2} Form equations with given information}}[/tex]

K +L +J= 160 -----(1)

J= 4L -----(2)

L= K -10 -----(3)

[tex]\textcolor{steelblue}{\text{\textcircled{3} Solve by substitution}}[/tex]

Substitute (3) into (2):

J= 4(K -10)

J= 4K -40 -----(4)

Substitute (3) and (4) into (1):

K +(K -10) +(4K -40)= 160

Simplify:

6K -50= 160

6K= 160 +50

6K= 210

Divide both sides by 6:

K= 210 ÷6

K= 35

Substitute K= 35 into (3):

L= 35 -10

L= 25

Substitute L= 25 into (2):

J= 4(25)

J= 100

[tex]\textcolor{steelblue}{\text{\textcircled{4} Concluding statement}}[/tex]

Thus Karen, Lamar and John sent 35, 25 and 100 messages respectively.

A bag has 16 blue marbles and 14 red marbles. John will randomly select 1 marble from the bag. What is the probability that he will select a red marble? *

Answers

Answer:

46.66% chance of red marble

Step-by-step explanation:

Red Marbles / Total Marbles gives you the percent

14 / 30 = 46.66%

An airline is planning its staffing needs for the next year. If a new route is​ approved, it will hire 837 new employees. If a new route is not​ granted, it will hire only 199 new employees. If the probability that a new route will be granted is 0.37, what is the expected number of new employees to be hired by the​ airline?

Answers

Considering a discrete distribution, it is found that the expected number of new employees to be hired by the​ airline is of 446.16.

What is the mean of a discrete distribution?

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

In this problem, considering the situation described in the text, the distribution is given by:

P(X = 837) = 0.37.P(X = 199) = 0.63.

Hence, the expected value is given by:

E(X) = 0.37(867) + 0.63(199) = 446.16.

More can be learned about discrete distributions at https://brainly.com/question/24855677

What is the value of x in this figure?

Answers

Step-by-step explanation:

Tan = Opposite/ Adjacent

Tan 50 = 100/Adj

Adj = 100/tan50

Similarly, Tan30 = Opposite/ Adjacent

Opposite = 100tan30

therefore X= 100/tan 50 - 100 tan30

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