For which pair of functions is the vertex of g(x) 2 units to the right of the vertex of f(x)?

Answers

Answer 1

For the following pair of functions, the vertex of g(x) 2 units to the right of f(x),

f(x) = x² and g(x) = (x - 2)²

What are functions?

Defining a relationship between an independent variable and a dependent variable using mathematical expressions, rules, or laws is known as a function. Mathematics is rife with functions, and the sciences depend on them for constructing physical relationships.

Determining the Correct Pair of Functions

For a given function f(x), its horizontal translation would be f(x + a). Here, a is the distance translated, owing to which f(x + a) is generated.

If a > 0, then it indicates a right translation of a units.

If a < 0, then it indicates a left translation of a units.

The required functions are to be such that the vertex of g(x) is 2 units to the right of the vertex of f(x).

Thus, if f(x) = x², then g(x) = (x - 2)²

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Related Questions

What are the x-intercepts of the graph of y = (5x + 7) (2x - 1)(x – 4)?

Answers

Answer:

12x × 1x × 3x = 36x

)))))))))))))))))))

All the x - intercepts of the graph of y = (5x + 7) (2x - 1) (x - 4) will be;

⇒ - 7/5 , 1/2 , 4

What is mathematical expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The graph of the function,

⇒ y = (5x + 7) (2x - 1) (x - 4)

Now,

Find x - intercept of the equation as;

Substitute y = 0, we get;

⇒ y = (5x + 7) (2x - 1) (x - 4)

⇒ (5x + 7) (2x - 1) (x - 4) = 0

This gives three conditions as;

⇒ 5x + 7 = 0

And, 2x - 1 = 0

And, x - 4 = 0

After solve we get;

⇒ 5x + 7 = 0

⇒ x = -7/5

And, 2x - 1 = 0

⇒ x = 1/2

And, x - 4 = 0

⇒ x = 4

Hence, All the x - intercept = -7/5 , 1/2 , 4.

Therefore, All the x - intercepts of the graph of y = (5x + 7) (2x - 1) (x - 4) will be;

⇒ - 7/5 , 1/2 , 4

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first come first served

Answers

Answer:

10. 32 mpg

12. 5 1/3 grams = 1 serving

14. 0.8 cent per can

16. 1/2 kg = 1 foot

18. 8 7/10 meters in 1 hour

Step-by-step explanation:

10. 256/8=32

12. if 4=3/4 then ?=4/4. to find 1/4 divide both by 3, 3/4 divided by 3 = 1/4, 4 divided by 3=1 1/3. then to find 4/4 multiply both by 4, 1/4x4=4/4, 1 1/3x4=5 1/3 so 5 1/3=1

14. 4.8/0.6=0.8

16. if 1/3=2/3 then ?=3/3. to find 1/3 divide both by 2, 2/3 divided by 2=1/3, 1/3 divided by 2 = 1/6. then to find 3/3 multiply both by 3, 1/3x3=3/3, 1/6x3=1/2

18. if 21 3/4=2 1/2 then ?=2/2. to find 1/2 divide both by 5, 2 1/2 divided by 5=1/2, 21 3/4 divided by 5 = 4 7/20. then to find 2/2 multiply both by 2, 1/2x2=2/2, 4 7/20x2=8 7/10

Just give me the answer

Answers

Answer:

y^6 is the simplest form

Answer:

y=6

Step-by-step explanation:

THATS KHANACADEMY RIGHT LOLLL

If A = (- 1, - 3) and B = (11, - 8) what is the length of AB? 13 units 12 units C. 11 units D. 14 units

Answers

Answer:

12 units is the answer.

Seis albañiles hicieron una barda de 180 m2 durante 12 días. ¿Cuántos días necesitaran 5 albañiles para levantar una barda de 100 m2 ?

Answers

Answer:

8 dias

Step-by-step explanation:

Primero tenemos que averiguar cuantos m2 pueden levantar los seis albañiles en 1 dia. Esto lo calculamos dividiendo los 180m2 por los 12 dias que les llevo hacerlo.

180 / 12 = 15 m2 por dia

Ahora tenemos que dividir este numero por los 6 albañiles para calcular cuantos m2 hace 1 albañil por dia

15 / 6 = 2.5

Ahora tenemos que multiplicar este m2 por los 5 albañiles que pide la pregunta

5 * 2.5 = 12.5 m2 por dia

Finalmente, necesitamos dividir los 100 m2 por los 12.5 m2 que pueden hacer los 5 albañiles por dia.

100 / 12.5 = 8 dias

Which of the following ordered pairs is a solution to the equation 4x+4y=4? Select all that apply.

Answers

Answer:

okay, the answers are: (-9, 10), (-4, 5), and (-13, 14)

Step-by-step explanation:

hope this helps

A plant is already 45 centimeters tall, and it will grow one centimeter every month.Let h be the plant's height (in centimeters) after m months.Write an equation relating h to m . Then use this equation to find the plant's height after 14 months.

Answers

X=45*14 is the answer

What pair of angles is congruent?

Answers

Answer:

angle f angle g and angle h are congruent as they are 90 degree

help me with this question for my homework pls

Answers

Answer:

4 1/12 is your answer

Find a common denominator, 12. Multiply the many times you did to the denominator to get 12 to the numerator so 3/4 would be 9/12 and 2/3 would be 8/12 so 9/12 - 8/12 is 1/12 and as you know already 10 - 6 = 4 so 4 1/12 would be your answer.

A hexagonal prism has.............vertices.

Answers

Step-by-step explanation:

A hexagonal prism has 12 vertices.

Hope this answer will help you.

Have a great time

The area of the triangle above will equal one half of a rectangle that is 5 units long and __ units wide. (Input only whole numbers, such as 8.)

Answers

Answer:

2

Step-by-step explanation:

Find the diagram attached

The Base of the triangle will be equivalent to the the length of the rectangle

Since the base of the triangle is 5units, hence length of the rectangle is 5units

Similarly, the height of the triangle is corresponding to the width of the rectangle

Since the height of the triangle is 2 units, the rectangle will be 2 unts wide. Hence the required answer is 2units

Given that the perimeter of the equilateral triangle below is 63 , solve for x

Answers

An equilateral triangle has 3 equal sides with 3 equal angles.

Let x be the length of a equilateral triangle.

x + x + x = 63

3x = 63

x = 63/3

x = 21

Hope it helps! Make me brainliest if it’s correct!

I REALLY NEED YOUR HELP PLEASEEE ASAAAAPPPPP THE QUESTION GOES LIKE THIS, if bob has 1 apple and jimmy has 1 apple what will be the total of all the apples? PLESE HELLPPPPP

Answers

Answer:

2

Step-by-step explanation:

Answer:

the apple will be 1

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

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

1) Melanin

2) rare albino snake

3) c

4) a

5) c

6) a

The solution of –2x + 13 < 9 is ______

Answers

Answer:

-2x + 13 < 9

or, -2x < 9-13

or, -2x < -4

or, x > -4/-2

or, x > 2

Hope you got your answer.

Answer:

x>2

Step-by-step explanation:

-2x<9-13

-2x<-4

x>2

x>2

3c + 1 = c + 1
What does c equal

Answers

Answer: c=0

Step-by-step explanation:

Find the mean of 8, 6, 2, 4 graphically.​

Answers

Answer:

5

Step-by-step explanation:

A deli sells small, medium, and large sack lunches. Each bottle of water costs $1, and each apple costs $1. Each sandwich costs s dollars. Some customers buy sack lunches, and some customers buy items separately.
Amy buys 8 sandwiches and 12 waters.her total cost is 8s+12 how much did she pay.

Answers

Answer:

unknown

Step-by-step explanation:

it doesn't tell you anything about the total cost of amy, you can't go backwards and reverse the equation

8+12=$20

Step-by-step explanation:

just add them up since they all cost $1

Which expression has a value of 15 when n= 7?
43-5
O 31-5
O on-28
28
019-
n

Answers

Answer:

19- 28 over N

Step-by-step explanation:

HELP ASAP!!! make sure to submit a pic of the graph!

Answers

Answer:

Good luck with math

P varies inversely with x. If P = 12 when x = 4, find the value of P when x = −48.

Answers

Answer:

P = - 1

Step-by-step explanation:

Given P varies inversely with x the the equation relating them is

P = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

To find k use the condition P = 12 when x = 4

12 = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )

48 = k

P = [tex]\frac{48}{x}[/tex] ← equation of variation

When x = - 48, then

P = [tex]\frac{48}{-48}[/tex] = - 1

Jennifer has 4 pizzas that she cuts into eights. How many 1/8 size pieces does she have? please help mark you branlyest!!

Answers

Answer:

32

Step-by-step explanation:

4/1 / 1/8=32 :)

I believe the answer would be 32

There’s 8 1/8 size pieces for 1 pizza so if you multiply 8 by 4 you’d get 32

Solve for x.2(-x - 4) = 4x + 16
a) 4
b) 3
c) -3
d) -4

Answers

Answer:

44

Step-by-step explanation:

Answer:

X=-4

Step-by-step explanation:

First, we must solve for the parenthesis so...

-2x-8=4x+16

Then we must simplify this even more so lets add the 8 to 16

-2x=4x+24

Then we must subtract 4x from -2x

-6x=24

we must now divide 24 by -6 so we can isolate the x

x=-4

I hope this helped :)

At her most recent race, Sue finished in 272 minutes. That is 15% less time than the previous race. What was her time in the previous race?

Answers

Answer:

320 minutes was her time on the previous race

Step-by-step explanation:

Let the time spent on the previous race be x minutes.

Given that at her most recent race, Sue finished in 272 minutes which is 15% less time than the previous race then

x - 15% * x = 272

x - 0.15x = 272

0.85x = 272

x = 272/0.85

x = 320 minutes

What is the value of the expression 1/2 divided by 6

Answers

Answer: the answer is to divide and you will come up with the answer 1/12

Step-by-step explanation:

Answer:

here is 1/2 divided displayed mathematically

1/2 ÷ 6

1= numerator

2= denominator

3= whole number

to make it fraction from the answer you keep the

numerator by the whole number to make a new

denomiter

___1___ = _1_

2×6 12

thus the answer to 1/2 divided by 6 on fraction form is

1/2 is the answer

Priya's family exchanged 250 dollars for 4,250 pesos. Priya bought a sweater for 510 pesos. How many dollars did the sweater cost? Pesos dollars 4,250 250 25 1 3 510

Answers

Answer:

$30

Step-by-step explanation:

since they exchanged them we can assume they are worth the same

250=4250

First find how many pesos is worth 1 dollar

4250/250= 17

Then divide the amount the sweater costs by how much 1 dollar would be

510/17= 30

The sweater would cost 30 dollars.

you buy some bags of tomatoes for $6.75. If each bag costs $2.25, how many bags do you buy?

Answers

Answer:

you would of bought three bags of tomatoes

PLEASE HELP ASAP ILL GIVE BRAINLY

Answers

Step-by-step explanation:

x= (70+83+90)/3= 81

85=(89+75+y)/3

255=89+75+y

y=91

92=(86+a+a)/3

276=86+2a

2a=190

a=95

93=(b+b+b)/3

279=3b

b=93

Help Me ASAP!
Assume the following in the picture: carbon = black oxygen = red hydrogen = blue Which formula represents the given molecule?​

Answers

Answer:

Answer is a

Step-by-step explanation:

You count carbon is c so count the black circles there are 5 and do the same with the rest

Answer:

Step-by-step explanation:

a

Which sand-castle spire has a greater volume? How much more sand do you need to make the spire with the greater volume?

Answers

Answer: spire b has the greatest volume with a volume of 64. spire a has a volume of 60. you'll need 4 in^3 more sand.

Step-by-step explanation:

since we know the volume of spire a is 60 while spire b’s volume is 64, from there, all you do is subtract 64 from 60. that gives us 4. meaning you need 4 in^3 more sand.

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