What is the effect on the graph of the function f(x) = x2 when f(x) is changed to f(x − 6)?

Answers

Answer 1

Answer:

Horizontal translation in the [tex]+x[/tex] direction.

Step-by-step explanation:

A function of the form [tex]f(x)[/tex] experiments an horizontal translation when the following substitution is applied:

[tex]x \to x + a[/tex], where [tex]a \in \mathbb{R}[/tex]

If [tex]a > 0[/tex], the function is translated in the [tex]-x[/tex] direction, whereas [tex]a < 0[/tex] is the case for the function being translated in the [tex]+x[/tex] direction.

The effect on the graph can be defined by a composition between two function:

[tex]f(x) = x^{2}[/tex], [tex]g (x) = x-6[/tex]

[tex]f\,\circ\,g\,(x) = (x-6)^{2}[/tex]

The resulting expression represents a horizontal translation in the [tex]+x[/tex] direction.

Finally, we plot [tex]f(x)[/tex] (red) and [tex]f\,\circ g\,(x)[/tex] (blue) by a graphing tool and proved the certainty of this theory.

What Is The Effect On The Graph Of The Function F(x) = X2 When F(x) Is Changed To F(x 6)?

Related Questions

4. What is the area of the figure at the right?

Answers

Answer: 336

Step-by-step explanation:

formula for area of a triangle = bh / 2

12 * 10 = 120 / 2 = 60

12 * 18 = 216 / 2 = 108

60 + 60 + 108 + 108 = 336

I WILL GIVE BRAINLIEST PLEASE HELP

Answers

7. $22.20

Will this help?

7. Answer: $13.02

Explanation:

12x0.085(8.5% in decimal form)

1.02+12

$13.02

8. Answer: $780

Explanation:

12,000x6.5=78,000

78,000/100=780

9. Answer: $5.32

Explanation:

76x0.7=5.32

10. Answer: $890.4

Explanation:

840+.06(840)

840+50.4

890.4

11. Answer: You will get $3 back.

Explanation:

25x0.8=2

25+2=27

30-27=3

Hope this helps:)

What is the difference of 897.67 and 578.8 ?

Round off your answer to one decimal place

Answers

218.9 rounded (218.87 not rounded)

María compra dos elotes y tres refrescos y por lo que paga $48 y Luis a comprar un elote y dos refrescos y pagó $24 cuánto cuesta cada elote y cada refresco

Answers

18 because because because

Titan put $3,400 in a savings account at a local bank. The bank will pay him 1.9% annual simple interest. How much interest will Titan earn after 4 years?

Answers

Answer: $258.40

Step-by-step explanation:

The formula to calculate the simple interest will be:.

= Principal × Rate × Time

where,

Principal = $3400

Rate = 1.9%

Time = 4

Interest = $3400 × 1.9% × 4

= $3400 × 0.019 × 4

= $258.40

ILL BRAINLIEST YOU
PLEASE HELP ME

Answers

Answer:

blank 1 is answer d

blank 2 I'm not sure

blank 3 is answer c

blank 4 is answer a

Are there more options than answers a-d?

List the transformations for the function.

y=|x−3|+1

Answers

Answer: To find the transformation, compare the equation to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

Parent Function:

y = | x |

Horizontal Shift: Right

Units

Vertical Shift: Up

Units

Reflection about the x-axis: None

Vertical Compression or Stretch: None

Step-by-step explanation:

Hope this helps!

Please let me know if im wrong!

Answer:

Step-by-step explanation:

Bre all my shi got deleted

Theresa had 72 brownies, she put them into 8 baskets. If she put the same number of brownies in one basket, how many brownies are in one basket b

Answers

There are 9 brownies in each basket

Answer:

there would be 9 brownies inside of each basket

Step-by-step explanation:

does anyone know this one?

Answers

The answer is C, you double 8 million and then double 16 million

what is 1/2 times 2
what is 3/2 times 2
what is 2/7 times 7
what is 3/4 times 4
what is 7/8 times 8
what is 5/6 times 6

Answers

1
3
2
3
7
5
hope that helps

1/2x2 =1

3/2x2=3

2/7x7=2

3/4x4=3

7/8x8=7

5/6x6=5

Yesenia has a 13 ft ladder that she placed against a
wall. How far up the wall will the ladder reach when the
base of the ladder is 5 ft from the wall?

Answers

Answer:

12 ft

Step-by-step explanation:

Using formula (pythagorean theorem)

a² + b² = c²

Where :

13 = c

and 5 = a

5² + b² = 13²

25 + b² = 169

169 - 25 = b²

144 = b²

Sq root b = 12

It will reach up 12 ft.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Donna is 37 years old, and she owns her car, which she uses to drive to work. Her collision deductible is $500, and she does not have comprehensive coverage. If her car's safety rating is 12, what is her annual premium?

Answers

Answer: $1725

Step-by-step explanation:

Please help!!!
The volume of gas varies inversely with the pressure exerted. If the volume is 3.5 liters when the pressue is 5, find the volume wihen the pressure is 8.

Answers

Answer:

v = k/p

where k is constant

3.5 = k/5

k = 3.5 × 5

k = 17.5

v = 17.5/p

v= 17.5/8

v = 2.1875

v ≈ 2.20 litres

How can we use 40% to help calculate 4%? 400% 1%?

Answers

Answer:

To help find a percent of a whole number

1. out output value is 400

2. we represent the unkown value with x

3. from step 1 above 400=100%

4. similarly, x=40%

5. This results in a pair of simple equations

400=100%(1)

x=40%(4)

6. By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both equations have the same unit (%); we have

[tex]\frac{400}{x} = \frac{100}{40}[/tex]

7. Again, the reciprocal of both sides gives

[tex]\frac{4}{400} = \frac{40}{100}[/tex]

⇒ x=160

Therefore, 40% of 400 is 160

what they said.........

Given the points (4,-1) and (3,5), find the slope
A.) 6
B.) -6
C.) 1/6
D.) -1/6

Answers

Answer: slope is -6

equation is y=-6x+23

Step-by-step explanation:

mrk brainliest plz

Answer:

Step-by-step explanation:

you can use the slope formula which is (y₂ - y₁)/(x₂ - x₁).

Plug the numbers in:

(5 - (-1)/(3-4)

6/-1

= -6

solve the system of equations 9x-9y=-9 and 4x-3y=-8 by combining the equations PLEASE HELP QUICKLY!!!!!

Answers

9x-9y=-9

x-y=-9/9

x-y+1=0.......(1)

4x-3y=-8

4x-3y+8=0....(2)

combining equation we get

(x-y+1)(4x-3y+8)=0

x(4x-3y+8)-y(4x-3y+8)+4x-3y+8=0

4x²-3xy+8x-4xy+3y²-8y+4x-3y+8=0

4x²+3y²-7xy+12x-11y+8=0 is your equation.

Penny reads around 10 pages in 1/2 hours, What is the unit rate for pages per hour? For hours per page?

Answers

She reads 3 pages per hour!!

please help me asap!

Answers

Answer:

26.0869565217 %

Note pls do not put all those numbers after the decimal round it im not doing it because i dont know how u want to round it

I hope this helps!!

Step-by-step explanation:

Here we go again: Each set of points are connected to form a line segment. What is the length of each?

A. 1 unit

B. 2 units

C. 3 units

D. 4 units

Answers

Answer:

b .2 units

Step-by-step explanation:

It B.2 units I took this before

On the line that passes through point C, mark a point D that is distinct from point C. Use the slope formula along with coordinates of points to find the slopes of and . Show your work.

Answers

Answer:

PLATO

Step-by-step explanation:

Answer:

The coordinates of point D will vary based on the point location, but the resulting slope of the line through points C and D will be the same.

A = (-3, 3), B = (-1,-1)

Slope of AB = (YB−YA) / ( XB –XA) =−1−3 / −1−(−3)= − 4 / 2= −2

D = (-1,6), C = (1,2)

Slope of DC = (YC−YD) / (XC−XD)= 2 – 6 / 1−(−1)=−4 / 2=−2

Step-by-step explanation:

Susan's elevation at the top of a mountain is 1,530 meters. After 4 hours of climbing down her elevation is 680 meters. What is Susan 's average change in elevation, in meters per hour?

Answers

Answer:

C) -212.5

Step-by-step explanation:

I've done this question on a quiz before.

Hope I helped!! :D

Find the measure of ∠B of an angle with 36 as one angle

Answers

Answer:

144

Step-by-step explanation:

180 - 36 = 144

which 1 is it?.................................

Answers

I think the answer is 27/4
Numerator:
7(3)-3(-2)= 21+6= 27
Denominator
2(3) +y
6+(-2)= 4
Answer in total
27/4

I hope that’s right

What is the equation of the line that passes through the points (-6,-5) and (-3,0)?

Answers

Answer:

y--3=5(x--6)=5x-y+27

Step-by-step explanation:

mrk me brainliest plz

Help ASAP plsplsplsplsplsplspls

Answers

Answer:

Hello! answer: x = 132

Step-by-step explanation:

This is a supplementary angle meaning it will add up to 180 degrees 180 - 48 = 132 therefore x = 132 HOPE THAT HELPS!

Which of the following are graphs of functions?

Answers

The answers are the one on the top right, bottom one(middle), and I think the one on the top left.

Plz help me!

If you help you get a brainliest!

Answers

Answer:

C) x=11

Step-by-step explanation:

Paula drinks 1 tenth gallon of milk every morning. How many days will it take Paula to drink 1 gallon of milk,no files just type it.

Answers

Answer:

10 days

Step-by-step explanation:

Divide 1 gallon by

0.1 gallon per day:

1 gallon

---------------------- = 10 days

0.1 gallon/day

Betty babysat for 3 hours each night for 12 nights. She earned a total of $288 babysitting. Betty wants to calculate her hourly rate. How much did Betty earn per hour babysitting?

Answers

Answer:Betty earned $8 per hour babysitting

Step-by-step explanation:

Number of hours worked per day =3

Number pf nights worked =12

Number of hours wored for 12 nghts =3x12=36hours

Now if 36 hours earned her $288

1 hour will earn her=( 288 x 1) / 36 = 8 hours

Rhian sat a maths test and an english test

Answers

Answer:

i don't understand

Step-by-step explanation:

please give more info so I can answer you question

Other Questions

I think its the third one Do you think Bill Clinton's presidency was a success or a failure? Explain your reasoning. Lowest common multiple for 3ab; 6b2; 7a3b A car dealership tracks the highway fuel efficiency of the preowned cars on the lot. The dot plot displays the collected data. What is the median fuel efficiency for the preowned cars?A. 40 MPGB. 35 MPGC. 30 MPGD. 45 MPG Fill in the BlanksBox 1. invited or planned or donatedBox 2. collected or stopped or honoredBox 3. mayor or hero or size A rectangular shape of dimension 95m by 75m is drawn to a scale of 1cm to 10m find the area What is a perfect 5 pointed star Java ProgrammingCreate a USMoney class with two private integer instance variables named dollars and cents. Add a constructor with two parameters for initializing a USMoney object. The constructor should check that the cents value is between 0 and 99 and, if not, transfer some of the cents to the dollars variable to make it between 0 and 99.Add a plus() method to the class that takes a USMoney object as its parameter. It creates and returns a new USMoney object representing the sum of the object whose plus() method is being invoked and the parameter. Hint: Your USMoney object may require both a getDollars() method and a getCents() method.The plus() method does not modify the values of the two existing objects. It should also ensure that the value of the cents instance variable of the new object is between 0 and 99.For example, if x is a USMoney object with 5 dollars and 80 cents, and if y is a USMoney object with 1 dollar and 90 cents, then x.plus(y) will return a new USMoney object with 7 dollars and 70 cents.Of course, you will need to create a USMoneyDemo class that tests the USMoney class. Your USMoneyDemo should prompt the user twice. The first to enter an integer representing dollars and the second to enter an integer representing cents. Use these values to create the first object named x. Do it again for the object named y. Do not worry about putting these prompts in a loop for now.Be sure to add some documentation and put any partner(s) names in the main application's doc box.For Part 1, submit two files on Blackboard: USMoney.java and USMoneyDemo.javaPart 2 25 pointsCreate a Date class with three private integer instance variables named day, month, year. It has a constructor with three parameters for initializing the instance variables, and it has a method named daysSinceJan1(). Note: It could have other methods.Just as its identifier suggests, the daysSinceJan1() method computes and returns the number of days since January 1 of the same year, including January 1 and the day in the Date object itself.Create a DateDemo class that tests the Date class. First prompt the user to enter an integer representing the day, a second prompt to enter an integer representing the month and a third to enter an integer representing the year. (Do not worry about doing any validation of the values entered.) Then, instantiate your Date object with these values. After that, call the method DaysSinceJan1() to display the answer.An example would be that the user enters values of day = 1, month = 3, and year = 2019, then the call day.daysSinceJan1() should return 60 since there are 60 days between the dates of January 1, 2019, and March 1, 2019. In leap years, it should return 61.Note that, in a leap year like 2020 will be, there will be one more day counted between January 1 and any date following February 28. What are the rules for leap years? If the year is evenly divisible by four, then it is a leap year...but not always! If it is a century year such as 1900 or 2000, it is only a leap year if evenly divisible by 400. Therefore, the century year 2000 WAS a leap year but 1900 was NOT a leap year! Neither were 1700 or 1800 and neither will be 2100...but 1600 was!You may NOT use an Array or ArrayList (or any other type of array) and you may not use any of the Java API date classes and/or methods.Document like you did for Part 1.For Part 2, submit two files on Blackboard: Date.java and DateDemo.java Write your question here (Keep it simple and clear to get the best answer)striangle has vertices A(2;5); B(1;-2) and C(-5;1). Determine:(a) the equation of the line BC. (b) The equation of the perpendicular line from A to Bc Que es una composicin y cmo hago una i think of a number add three to it and multiply the outcome by 7 the solution is 24.5 set up an equation and solve it to find my original number Type in the value of x.12x - 2130 pedro's car averaged 957 miles on its 29-gallon tank of gas. 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