Which is one of the transformations applied to the graph of f(x) = x2 to produce the graph of p(x) = –50 + 14x – x2? a shift down 1 unit a shift left 7 units a shift right 1 unit a shift up 7 units

Answers

Answer 1

Answer:

Shift down one unit

Step-by-step explanation:

Correct for e2020

Answer 2

The transformation applied to the graph of f(x) to produce the graph of p(x) is:

A). a shift down 1 unit and a shift left 7 units.

What is transformation on the graphs?

Let the functions f(x) and g(x) be two real functions.

And g (x) = f (x) + k, where k is real numbers.

The function can be sketched by shifting f (x), k units vertically.

The direction of shift can be found by the value of k:

if k > 0, the base graph shifts k units up, and

if k < 0, the base graph shifts k units down.

The function provided by the basic function f(x) and the constant

g(x) = f(x - k),

may be drawn by horizontally moving the f(x) k unit coordinates.

The shift's direction depends on the value of k. Specifically,

The base graph moves k units to the right if k > 0, and

The base graph moves k units to the left if k < 0.

To determine the transformation applied to the graph of f(x) = x² to produce the graph of p(x) = –50 + 14x – x², we can compare the general forms of the two functions:

f(x) = x²

p(x) = –x² + 14x - 50

The function p(x) can be written as,

p(x) = –(x² - 14x + 49) - 1

p(x) = -(x - 7)² - 1

Therefore, the transformation applied to the graph of f(x) to produce the graph of p(x) is:

A). a shift down 1 unit and a shift left 7 units.

So, the correct answer is A).

To learn more about the transformation on the graphs;

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Related Questions

Write the equation of the line parallel to the given line and through the given
point. y=2x - 8 through (3.10)

Answers

Answer:

y-2x -8

Step-by-step explanation:

your jus gonna right it back because it's parallel which means it's the same thing.

I need help on math​

Answers

what is the question ?

Compare and contrast xy with xy

Answers

Answer:

theres positive and negative

Step-by-step explanation:

i think that's what your talking about

PLEASE HELP! 6TH GRADE MATH please write done what number you're doing

Answers

Answer:

# 10 is 4/3 or 1 and 1/3

#11 is 4/10 or 2/5

#12 is 2 and 3/4

#13 is 36/12 or 3 and 1/12

Step-by-step explanation:

i am not 100% sure on #13 btw

hope this helped!

p.s it would be cool if you gave me brainliest.

Answer:

Hey your answers on there are correct.

Step-by-step explanation:

Can you guys help me with this angle problem for Geometry tysm

Answers

Answer:

You need to solve for x

Step-by-step explanation:

3x + 5 + 10x - 7 = 180

13x + 5 - 7 = 180

13x - 7 = 175

13x = 182

x = 14

Plug in x

3(14) + 5 for QRT and 10(14) - 7 for TRS

QRT = 47 and TRS = 133

Answer:

QRT = 47

TRS = 133

Step-by-step explanation:

The two angles form a straight line so they add to 180

3x+5 + 10x-7 = 180

13x-2 =180

Add 2 to each side

13x-2+2 =180+2

13x= 182

Divide by 13

13x/13 = 182/13

x =14

We want QRT = 3x+5 = 3*14+5 = 42+5 = 47

TRS = 10x-7 = 10*14-7 = 140-7 = 133

Help to solve x and Y

Answers

Answer: x=11, y=9

Solving steps:
1. Solve for x
Look at picture

2. Find y
(10x-6)+(9y-5)=180
(10(11)-6)+(9y-5)=180
104+(9y-5)=180
9y-5=76
9y=81
y=9

The variables x and y are related proportionally. When x = 8, y = 20. Find y when x = 80.

Answers

Answer:

y = 200

Step-by-step explanation:

Use the equation y = kx, where k is a constant.

Plug in the given x and y values, then solve for k:

y = kx

20 = k(8)

2.5 = k

Then, plug in k and the given x value, and find y:

y = 2.5x

y = 2.5(80)

y = 200

So, y = 200 when x = 80

The concentration of carbon dioxide (CO2) in the atmosphere is increasing rapidly due to our use of fossil fuels. Because plants use CO2 to fuel photosynthesis, more CO2 may cause trees and other plants to grow faster. An elaborate apparatus allows researchers to pipe extra CO2 to a 30-meter circle of forest. They selected two nearby circles in each of three parts of a pine forest and randomly chose one of each pair to receive extra CO2. The response variable is the mean increase in base area for 30 to 40 trees in a circle during a growing season. We measure this in percent increase per year. Here are one year's data.

Pair Control plot Treated plot
1 9.728 10.748
2 7.276 8.332
3 5.612 6.632

Required:
a. State the null and alternative hypotheses.
b. Explain clearly why the investigators used a one-sided alternative.

1. The researchers have no preconceived idea what extra CO2 will do to the growth rate.
2. The researchers have reason to believe that CO2 will decrease growth rate.
3. The researchers have reason to believe that CO2 will increase growth rate.

c. Carry out a test and report your conclusion in simple language.

Answers

Answer:

this is math go to siecne noob

Step-by-step explanation:

please answer....writing assignment for math

Answers

Answer:

This information tells me that f equals a number and 3 multiplied by the number that f equals is 16.

Could I please have Brainliest?

I’m not well with percentages lol. Can someone help me with solving it and answer

Answers

Answer:

1. Dracula Answer: D) 12.5%

2. Jack-O-Lantern Answer: D) 40%

Step-by-step explanation:

1. 54 - 48 = 6

  6/48 = 0.125 x 100 = 12.5%

2. $20 - $12 = 8

    8/20 = 0.4 x 100 = 40%

A closet is 3 yards wide. What is its width in inches?

Answers

Answer:

The closet is 108 inches wide.

Step-by-step explanation:

Because 1 yard is 36 inches, and 36 times 3 is 108.

adult men weights mean of 190 30 3 random men mean weight

Answers

Answer:

is this the question ?

Step-by-step explanation:

The angles shown above form a linear pair. Show all of your work for full credit.
A. What is the angle relationship between these two angles?
B. Set up an equation and solve for n.
C. Substitute your values into the equation and find the measurements of both angles.

Answers

Answer:

A. [tex] (4n + 22) + (8n - 10) = 180 [/tex]

B. [tex] n = 14 [/tex]

C. 78° and 102°

Step-by-step explanation:

A. The relationship between the two angles that are a linear pair is: their sum gives us 180°. That is:

[tex] (4n + 22) + (8n - 10) = 180 [/tex]

B. [tex] (4n + 22) + (8n - 10) = 180 [/tex]

Solve for n.

[tex] 4n + 22 + 8n - 10 = 180 [/tex]

Collect like terms

[tex] 12n + 12 = 180 [/tex]

Subtract 12 from both sides

[tex] 12n + 12 - 12 = 180 - 12 [/tex]

[tex] 12n = 168 [/tex]

Divide both sides by 12

[tex] \frac{12n}{12} = \frac{168}{12} [/tex]

[tex] n = 14 [/tex]

C. Plug in the value of 14 to get the measurement of both angles

[tex] (4n + 22) = 4(14) + 22 = 56 + 22 = 78 [/tex]

[tex] (8n - 10) = 8(14) - 10 = 112 - 10 = 102 [/tex]

One box of pencils costs rupees 28 . What is the cost of 509 boxes

Answers

Question:

One box of pencils costs rupees 28 . What is the cost of 509 boxes

Given:1 pencil costs=₹281 pencil costs=₹28No. of boxes=509

We know:

Costs of total no. of pencil boxes

=1 pencil box's costs×No. of boxes

=509×28

=14252✓

Assemble the proof by dragging tiles to the statements and reasons columns

Answers

Answer:

Here, I did the assignment. I wish you good luck!

Brandon enters bike race. He bikes 9 1/2 miles every 1/2 hour

Answers

Since there is no table given I will assume that what you want me to do is to show that Unit rate of Brandon’s biking. SO here are the data that we need: => 8 and ½ miles = 8.5 miles => ½ hour = .5 hours or 30 minutes Now, let’s solve for the unit rate => SO in every 30 minutes he bikes around 8.5 miles => Since 1 hour is equals to 30 minutes, simply multiply 8.5 by 2 => 8.5 * 2 = 17miles => 17 miles / hour
Hope this helps:)

The red-tailed tropic bird, Phaethon rubricauda, is an extremely rare sea bird that nests on several islands of the Queensland coast of Australia. As part of a conservation e ort to manage these endangered birds, every nesting pair was measured and weighed. Below are the body weights of these birds (in kg).

Female 2.45 2.57 2.81 2.37 2.01 2.50 2.32
Male 2.86 2.65 2.75 2.60 2.30 2.49 2.84

Required:
a. Determine the following descriptive characteristics for the weights of the females: mean, variance, and standard deviation. Is this a sample or population? Again, pay attention to number of decimal places and appropriate units.
b. Determine the mean, variance, and standard deviation for the male weights.

Answers

Answer:

This is a population

a) Female

Mean : 2.432857143kg

Variance: 0.05162040817kg

Standard deviation: 0.2272012504kg

b) Male

Mean : 2.641428571kg

Variance : 0.03432653062kg

Standard deviation: 0.1852742039kg

Step-by-step explanation:

a. Determine the following descriptive characteristics for the weights of the females: mean, variance, and standard deviation. Is this a sample or population? Again, pay attention to number of decimal places and appropriate units.

a) Female: 2.45 2.57 2.81 2.37 2.01 2.50 2.32

Mean

The formula = Sum of term/ Number of terms

Mean = 2.45 + 2.57 + 2.81 + 2.37 + 2.01 + 2.50 + 2.32/7

17.03/7

= 2.432857143kg

Variance

This is a population

Hence: The formula for Population variance =

= (X - Mean)²/N

Where N = Number of terms = 7

= (2.45 - 2.432857143)² + (2.57 -2.432857143)² + (2.81 -2.432857143)² + (2.37- 2.432857143)²+ (2.01 - 2.432857143)²+ (2.50 - 2.432857143)² + (2.32 - 2.432857143)² /7

= 0.0002938775509 + 0.01880816325 + 0.1422367347 + 0.003951020409 + 0.1788081633 + 0.004508163265 + 0.0127367347/7

= 0.3613428572/7

= 0.05162040817kg

Standard Deviation

Formula = √Variance

= √0.05162040817

= 0.2272012504kg

b. Determine the mean, variance, and standard deviation for the male weights

Male 2.86 2.65 2.75 2.60 2.30 2.49 2.84

Mean

The formula = Sum of term/ Number of terms

= 2.86 + 2.65 + 2.75 + 2.60 + 2.30 + 2.49 + 2.84/7

= 18.49/7

= 2.641428571 kg

Variance

= ( 2.86 -2.641428571)² + (2.65 - 2.641428571)² + (2.75 -2.641428571)² + (2.60 +2.641428571)² + (2.30 - 2.641428571)² + (2.49+2.641428571)² (2.84 + 2.641428571)²/7

= 0.0477734694 + 0.00007346938775 + 0.01178775511 + 0.001716326531 + 0.1165734694 + 0.02293061224 +! 0.03943061226/7

= 0.2402857143/7

= 0.03432653062kg

Standard Deviation

= √Variance

= √0.03432653062

= 0.1852742039kg

Determine the density in g/cm3 of a mineral that has a volume of 3.8 cm3 and a mass of 22.4 g.

Answers

Answer:

5.89 g/cm³

Step-by-step explanation:

givens,

Mass = 22.4 g

volume = 3.8 cm³

Density = mass / volume

= 22.4 / 3.8

= 5.89 g/cm³

The density with a volume of 3.8 cm³ and a mass of 22.4 g is 5.89 g / cm³.

Given,

The volume of a mineral = 3.8 cm3

And the mass of the mineral = 22.4 g

We need to find the density.

What is density?

It is the ratio of mass and volume.

Density = mass / volume

Find the density.

Volume = 3.8 cm³

Mass = 22.4 g

Density

= Mass / Volume

= 22.4 / 3.8

= 5.89 g / cm³

Thus the density with a volume of 3.8 cm³ and a mass of 22.4 g is

5.89 g / cm³.

Learn more about how to find density in the cgs system here:

https://brainly.com/question/9989733

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Evaluate the expresion for x=6. -2x + 1/3(x2 + 6) - 36/6

Answers

Answer:

x=6/7            hope i did it right- im so sorry if thats wrong

Step-by-step explanation:

If you have metamorphic rock and melt it, what does it become?

A. Magma
B. Minerals
C. Sedimentary Rock
D. Soil

Answers

Answer:  Magma

Step-by-step explanation:

When metamorphic rock melts it turns into magma.

Over the past several years, the owner of a boutique on Aspen Avenue has observed a pattern in the amount of revenue for the store. The revenue reaches a maximum of about $ 46000 in March and a minimum of about $ 28000 in September. Suppose the months are numbered 1 through 12, and write a function of the form ()=sin([−])+ f ( x ) = A sin ⁡ ( B [ x − C ] ) + D that models the boutique's revenue during the year, where x corresponds to the month. If needed, you can enter π =3.1416... as 'pi' in your answer. ()= f ( x ) =

Answers

Answer:

F(x) = [tex]9000 sin (\frac{\pi }{3} (x-3) + 37000[/tex]

Step-by-step explanation:

Revenue reached in March = $46000  ( Maximum )

Revenue reached in September = $28000 ( Minimum )

f(x)=Asin(B[x−C])+D

attached below is the detailed solution of the problem

attached below is the detailed solution

F(x) = [tex]9000 sin (\frac{\pi }{3} (x-3) + 37000[/tex]

Graph the line that represents the equation

Answers

Answer:

In the attachment.

Step-by-step explanation:

We need only two points.

Choose any two values of x. Put them to the equation and calculate the value of y:

[tex]y=-\dfrac{2}{3}x+1\\\\\text{for}\ x=0\\\\y=-\dfrac{2}{3}\cdot0+1=0+1=1\to A(0;\ 1)\\\\\text{for}\ x=3\\\\y=-\dfrac{2}{3}\cdot3+1=-2+1=-1\to B(3;\ -1)[/tex]

What is 5/8 of $16 restaurant bill=
What is the answer

Answers

Answer:

$10

Step-by-step explanation:

16 * 5 / 8 = 16 * 0.625 = $10

pls help meeeeeeeeeeee!!

Answers

Answer:

45 with a remainder of 27.

Step-by-step explanation:

Hope this helps you! Good luck! <3

Need help ASAP pls !!!!!

Answers

Answer:

growth and .09% increase I believe

Step-by-step explanation:


A scale drawing of a building needs to be made using the scale 1 in = 230 ft. How tall will the building in the scale drawing be if the building is 1380 ft tall?

Answers

1380/230 = 6 inches in the scale drawing

Express 610.47 in unit form.

Answers

Answer:

6 hundreds

1 tens

0 ones

4 tenths

7 hundredths

An investigation of wages paid to its employees by a large company was undertaken as a result of an allegation of discrimination. Data was collected for 1000 randomly selected employees. The data included employee ID, gender, race, annual wages in dollars (Salary), whether the employee had full-time status or part-time status (Full_Part), number of years of education (Ed), and number of years with the company (Tenure). The first two rows of data in the worksheet are displayed below.
1 Gender Race Salary Full_Part Ed Tenure
2 Female Caucasian 32196 Full 14 2
3 Male Black 62385 Full 16 10
How many cases does this data set contain?
How many variables does this data set contain? (3 p)
How many quantitative variables does this data set contain, and what are they? How many qualitative variables does this data set contain, and what are they?

Answers

Answer:

Step-by-step explanation:

First, the data set is:

  Gender     Race        Salary   WorkTimeStatus   Education   Tenure

1. Female  Caucasian  32196     Full Time                     14yrs          2 yrs

2. Male      Black          62385    Full Time                     16yrs         10yrs

Now to the questions:

(A) This data set contains 2 cases; 1 for the first employee (the female caucasian) and 2 for the second employee (the male black).

(B) This data set contains 6 variables;

1. Gender  2. Race  3. Salary  4. Work time status  5. Years of education

6. Number of years in/with the company

(C) Out of these 6 variables, the quantitative ones (those that can be measured or weighted numerically) are:

3. Salary   5. Years of education   6. Years with the company

Altogether, 3 in number

(D) The qualitative variables are:

1. Gender   2. Race   4. Work Time Status

Altogether that's 3 variables

Help me please!!!!!!!!

Answers

Answer:

y = -6x - 5

Step-by-step explanation:

To find the equation using the point-slope equation, we need the slope and the y-intercept of the line

Finding the slope of the line:

We will calculate the slope between these 2 points:  (-1 , 1) and  (0 , -5)

Slope = Rise / Run

Rise of the line = y1 - y2

Rise = 1 - (-5)

Rise = 1 + 5

Rise = 6

Run of the line = x1 - x2

Run = -1 - 0

Run = -1

Slope of the line:

Slope  = Rise / Run

Slope = 6 / -1

Slope = -6

Finding the y-intercept:

y-intercept of a line is the y-ordinate of the point where the line intersect the y-axis

From the graph, we can see that the line intersects the y-axis at (0 , -5)

y-coordinate of the point = -5

y-intercept = -5

Equation of the line:

This is the general formula of the slope-intercept:

y = mx + b (where m is the slope of the line and b is the y-intercept )

Replacing the variables

y = (-6)x + (-5)

y = -6x - 5

List the numbers in order from least to greatest.
-4,8,-15,-8,4,1
The numbers in order from least to greater Are

Answers

Answer: -15, -8, -4, 1, 4, 8

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