If you shift the quadratic parent function, f(x) = x2 right 12 units, what is the
equation of the new function?
A. (x) = x2 - 12
B. AX) = (x + 12)
C. (x) = y2 + 12
D. (X) = (x - 12)
SUBMIT

Answers

Answer 1

Answer:

g(x) = (x-12)^2

Step-by-step explanation:

f(x) = x^2

Shifting to theright is of the form

f (x – b) shifts the function b units to the right.

g(x) = (x-12)^2


Related Questions

Sweatshirts at the school store cost $30. They currently sell about 4 shirts per month. They have decided to decrease the price of the shirts. They found the for each each $1.50 decrease, they will sell 2 more shirts per month. How many decreases in prices will give the max value?

A. 30

B. 9

C. 363

D. 16.50

Answers

a club usually sells 1200 shirts a year at $20 each. A survey indicates that
for every $2 increase in price, there will be a drop of 60 sales a year.
What price they should charge for each shirt to maximize the revenue?
:
Let x = no. of $2 increases
also
Let x = no. 60 shirt sales reductions
:
Price = (20 + 2x)
No. of shirts = (1200 - 60x)
:
Revenue = price * no. of shirts sold, therefore:
R = (20 + 2x)*(1200 - 60x)
FOIL
R = 24000 - 1200x + 2400x - 120x^2
Arranges as a quadratic equation
R = -120x^2 + 1200x + 24000
Find the axis of symmetry to find the price for max revenue: x = -b/(2a)
In this equation; a=-120; b=1200
x = %28-1200%29%2F%282%2A-120%29
x = %28-1200%29%2F%28-240%29
x = +5 ea $2 increases
and
5*60 = 300 reduction in shirt sales:
:
Price for max sales; 20 +2(5) = $30, will sell 1200 - 300 = 900 shirts
:
Max revenue: 30 * 900 = $27,000

A cylinder has a volume of 132x cubic feet and height of 4 feet. What is the area of the base?
* Square feet

Answers

Answer:

33π square feet

Step-by-step explanation:

Volume = base area × height

132π = base area × 4

or, base area = 132π/4

or, base area = 33π

Answered by GAUTHMATH

Maya just bought a refrigerator for $642. She paid $160.40 in a down payment and will pay the rest in 4 equal installments. How much does she need to pay for each installment?

Answers

Answer:

120.40 per payment

Step-by-step explanation:

Subtract the down payment

642 - 160.40

481.60

Divide this by 4

481.60 / 4

120.40

On a piece of paper graph
f(x) = {-1 if -1 <= x < 0}
{ -2 if 0 <= x < 0}
{ -3 if 1 <= x < 2

Answers

In this question, a piece-wise function is asked to be graphed.

Piece-wise function:

A piece-wise function is a function that has different definitions, depending on the input.

In this question, the function has three different definitions:

For x between -1(inclusive) and 0, y takes a constant value of -1.

For x between 0(inclusive) and 1, y takes a constant value of -2.

For x between 1(inclusive) and 2, y takes a constant value of -3.

Additionally:

At the inclusive points, the interval is circled, and thus, the graphic is given at the end of this answer.

For another example of the graphic of a piece-wise function, you can check https://brainly.com/question/16855064

Answer:

Step-by-step explanation:

1. (1, 3); (2, 3)

2. (0, 0) (1, 0)

3. (-1, 1) (0,0)

find the area of triangle
i. b=6cm ,h=4cm
ii. b=5cm ,h=7cm
iii. b=8.4 cm ,h=5cm
answer
[tex]i.12cm {}^{2} [/tex]

[tex]ii.17.5cm {}^{2} [/tex]
[tex]iii.21cm {}^{2} [/tex]




Answers

Answer:

Step-by-step explanation:

What are we supposed to do? You already have the answers and they’re all correct if that’s what you wanted to know

is 1/5 a rational or irrational number (20 points pls help)

Answers

Answer:

rational

Step-by-step explanation:

Answer:

it's Rational Number

Step-by-step explanation:

since each integer can't be written in the fraction form or for this example it would be thus 5 so it would be a rational number

8. The value of [3 - 4 * (3 - 4) ^ 4] ^ 3 is
a) 1
b) -1
c)0
d) 7
help me please ​

Answers

Answer:

-1

Step-by-step explanation:

[3-4(-1)^4]^3

=>(3-4)^3

=>(-1)^3

=>-1

Answer From Gauth Math

Answer:

-1

Step-by-step explanation:

[tex][3-4*(3-4)^4]^3[/tex]        

[tex](3-4)^4= 1\\Therefore, [3-4*1]^3= -1^3\\So, -1^3= -1\\\\[/tex]

Cube of any negative integer will be negative, or, a negative integer raised to any odd number will be negative. Likewise, a negative integer raised to an even number will be positive.

A circle is represented by the equation below:

(x − 9)2 + (y + 8)2 = 16

Which statement is true?

a) The circle is centered at (−9, 8) and has a radius of 8.
b) The circle is centered at (9, −8) and has a diameter of 8.
c) The circle is centered at (9, −8) and has a radius of 8.
d) The circle is centered at (−9, 8) and has a diameter of 8.

Answers

Answer:

The center is (9,-8) and the diameter is 8

Step-by-step explanation:

(x − 9)^2 + (y + 8)^2 = 16

A circle is in the form

(x − h)^2 + (y -k)^2 = r^2  where (h,k) is the center and r is the radius

(x − 9)^2 + (y -  -8)^2 = 4^2  

The center is (9,-8) and the radius is 4

The diameter is 2 times the radius so the diameter is 8

The center is (9,-8) and the diameter is 8

Can someone help me I don't understand

Answers

Answer:

79.605

Step-by-step explanation:

sin 31° = 41/x

x = 41/sin 31°

x = 79.605

I think the answer is 79.605


The circumference of a circle is 14 meters. Which of the following represents the area of the circle

Answers

Answer:

A = 49/pi

Step-by-step explanation:

C = 2 * pi *r

14 = 2 * pi *r

Divide each side by 2 pi

14/2pi = r

7/pi = r

The area is given by

A = pi r^2

A = pi ( 7/ pi)^2

A  = pi * 49 / pi^2

A = 49/pi

Answer:

[tex]area = {15.61m}^{2} [/tex]

explanation is attached to the picture

Hope this helps you

g(x) = x3 + 2x2 - x - 2 to answer all the questions in Part II. 1. Use synthetic division to show that x = -2 is a zero of the polynomial.

Answers

Answer:[tex]x^{2} -1[/tex]

Step-by-step explanation:

Given :[tex]g(x)=x^{3} +2x^{2} -x-2[/tex]

Factor x+2,x=-2

Using synthesis division:

-2 )  1 2   -1  -2

        -2    0   2

      1  0   -1   0

[tex]x^{2} +0x-1[/tex]

Yes,  x = -2 is a zero of the polynomial.

Given that,

The function g(x) = x³ + 2x² - x - 2 is divided by (x + 2)

Now apply the synthetic division to show that x = -2 is a zero of the polynomial.

When we divide by using synthetic division as shown in the attached image.

Remainder = 0

Hence, this shows that x = -2 is a zero of the polynomial.

Therefore, x = -2 is a zero of the polynomial.

To learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ4

Please help me ill give brainliest!!​

Answers

Answer:

3744.64

Step-by-step explanation:

To know the answer to this question you need to know the formulas to find the volume of the cylinder and the rectangular prism. The volume of a cylinder is pi*r^2*h while the volume of the rectangular prism is l*w*h. The cylinder is 1808.64 cubic in while the rectangular prism is 1936 cubic. Together, they are 3744.64 cubic in.

Answer:

cylinder= A=πr²h

=3.14×4²×9

=452.16

rectangle=A=l×w×h

=19×11×11

=2299

total area=452.16+2299

=2751.16

Step-by-step explanation:

Rút gọn bthuc
7x(4y-x) + 4y(y-7x) - (4y^2 -7x)

Answers

¢✓¢==¢=

Step-by-step explanation:

==`==¢=¢✓%✓™€✓✓€=€✓€✓

dbshhshs

shhsshsh

please HELP ME!!! (16 POINTS) due today :)))

Answers

Answer:

Step-by-step explanation:

I'm not sure what the question is asking, but if you mean the angles in the blue lines

First one, we know that the full length is 90, and it has gacen us 80, so the angle would be 10

Second one, we see that the angle is still 90, and since the given degree is 30, the unkown angle would be 60

Third one, the given angle is 75 so 90-75=15.

The answers would be 10, 60, and 15.

Answer:

4. 170*

5. 330*

6. 285*

Step-by-step explanation:

4. Explanation: 90* is added by the other angle in the right + 80* for the same angle

90* + 80* = 170*
————————————————————

5. Explanation: we are trying to find out the total among every angle measure except for 30.

Total angle measure = 360*

360 - 30 = 330*
—————————————————————

6. Explanation: 360 - 75 = 285*


what is the scale factor from figure A to figure B

Answers

Answer:

scale facor is 1/3

Step-by-step explanation:

how many line of symmetry is this figure​

Answers

Answer:

There are sixteen lines.

2. find out the h.c.f

Answers

2a , 1st exp= a2 + ab

= a(a+b)

2nd exp = a2-b2

= (a+b) (a-b)

HCF = (a+b)

b, 1 st exp= (a+b)2

= (a+b)(a+)

2 nd exp = a2-b2

= (a+b) ( a-b)

HCF = (a+b)

c, 1 st exp= (a-1)2

= (a+1) (a-1)

2nd exp= a2-1

= (a+1)(a-1)

HCF = (a-1)

d, 1st exp= (x-2)(x-3)

= x(x-3)-2(x-3)

= x2 - 3x - 2x + 6

= x2- 5x+ 6

= x2 - (3+2)x + 6

=x2 -3x-2x+ 6

= x(x-3) -2(x-3)

=(x-3)(x-2)

2 nd exp = (x+2) (x-3)

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

= x2 - 3 x+ 2x -6

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

=(x-3) ( x+ 2)

HCF = (x-3)

What is the percent change from 75 to 14?

Answers

Answer:

the change is -81.33% (the 3 is repeating)

What is the range of the function?

Answers

Answer:

all real numbers greater than or equal to 11

Calculate the mean of the following list of numbers: 10, 12, 7, 9, 9, 11, 15, 9
PLEASE HELP!!!!
9
9.5
10.67
10.25

Answers

Sun the numbers and divide by the number of numbers.
82/8=10.25

find cosØ if sinØ=-12/13 and tanØ>0.

A) -5/12
B) -5/13
C) 12/5
D) -13/12

Answers

Answer:

-5/13

Step-by-step explanation:

sin theta = opp / hyp

sin theta = -12 /13

we can find the adj side by using the pythagorean theorem

adj^2 + opp ^2 = hyp^2

adj^2 +(-12)^2 = 13^2

adj^2 +144 =169

adj^2 = 169-144

adj^2 = 25

Taking the square root of each side

adj = ±5

We know that it has to be negative since it is in the third quad

adj = -5

cos theta = adj / hyp

cos theta = -5/13

Answer:

B) -5/13

Step-by-step explanation:

i hope it will help

plzz mark as brainliest if you want

50 points and brainly
Trinas you company charges $0.86 per pound to ship toys. Part A: Write an equation to determine the totals cost, c, to ship p pounds of toys. Use your equation to determine the cost of shipping 2 pounds of toys. Path B: if the company reduces the cost to ship toys by $0.05 per pound, write an equation to determine the total cost, c, to ship p pounds of toys with the reduced cost.

Answers

Answer:

Part A:

c = .86*p

c =1.72 for 2 lbs

Part B:

c =.81p

Step-by-step explanation:

Part A:

Total cost = cost per pound * number of pounds

c = .86*p

Let p = 2

c = .86*2

c =1.72

Part B:

Total cost = cost per pound * number of pounds

c = .(.86-.05)*p

c =.81p

A video store charges $12 for used games and $25 for new games. Jonathan has saved $300 to spend on video games. This scenario is represented by a linear equation.

12x + 25y = 300

x = number of used games

y = number of new games

How many games can Jonathan buy if he spends all his money on used games?

Answers

Answer:

25 used games

Step-by-step explanation:

Divide his money by the price for one used game

300/12

25

Answer:

y=0

12x=300

X=300/12

X=25

he can buy 25 used games .

Step-by-step explanation:

help find the height

Answers

Answer:

A

Step-by-step explanation:

Heron's formula finds the area of any triangle.

Area = sqrt(s*(s - a)*(s-b)*(s-c) )

s = (a + b + c)/2

a = 8

b = 16

c = 12

s = 36/2 = 18

s-a = 18 - 8 = 10

s-b = 18 - 16 = 2

s-c = 18 - 12 = 6

Area = sqrt(18*10*2*6) = sqrt(2160)

Area = 12*sqrt(15)

Area = 46.4758

Now x is easily found. It is the altitude to 16

Area = 1/2 16 * h

46.4758 * 2 / 16 = h

h = 3*sqrt(15)/2

h= 5.81

2.1: Solve the one step equation

9. 70 = -5x
10. x4 = 36
11. 7x = -54

Answers

Answer:

-14, 9 and - 54/7

Step-by-step explanation:

70=-5x, x=-144x=36, x=97x=-54, x=-54/7

What is the difference between 15% of 7 and of 7?

Answers

1.05 is the difference of 15% of 7 and 7!!!

In right triangle ABC, if AC = 5/13 and AB = 1, what is the length of BC?

Answers

Answer:

BC = [tex]\frac{12}{13}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

BC² + AC² = AB²

BC² + ([tex]\frac{5}{13}[/tex] )² = 1²

BC² + [tex]\frac{25}{169}[/tex] = 1 ( subtract [tex]\frac{25}{169}[/tex] from both sides )

BC² = [tex]\frac{169}{169}[/tex] - [tex]\frac{25}{169}[/tex] = [tex]\frac{144}{169}[/tex] ( take square root of both sides )

BC = [tex]\sqrt{\frac{144}{169} }[/tex] = [tex]\frac{12}{13}[/tex]

If a school camp has enough food for 150 students over 5 days
How long would the food last for is only 100 students are there

Answers

Answer:

It is over 7 days

hope it helps

what is the sum of the square root of 63 and 144,divided by 5​

Answers

Answer:

Step-by-step explanation:

(√63 + 144)/5 = (3√7 + 144)/5 = 0.6√7 + 28.8

the answer is 3.98745078664 or ≈4

[tex](32)^{1/5}[/tex]

Answers

Answer:

2

Step-by-step explanation:

[tex] {32}^{ \frac{1}{5} } [/tex]

[tex] = \sqrt[5]{32} [/tex]

[tex] = \sqrt[5]{2 \times 2 \times 2 \times 2 \times 2} [/tex]

= 2 (Ans)

Other Questions
____________ is/are when data is analyzed in order to make decisions about the population behind the data.A. ExperimentsB. SimulationsC. SurveysD. Statistics What is (x+13)^2? pls help!!! 15. Five boys went to see the CIRCUS. Four of them had Rs.5 each and the fifth boy had Re.1 more than the entrance ticket price. IF with the whole amount (which the 5 boys had), the boys were able to just buy the entrance ticket for all the 5, cost of the entrance ticket per person was At least _______ of your daily grains should be whole grains. one-fourth one-half one-tenth one-third What is the length of the altitude of the equilateral triangle below?A. /240B. 144C. 12D. 4E. 12/3F. 4/3 5x_=1 jdjdjcjdjdjjdkd 1. Ms. Rogers earns $___ each month. She pays 25% of her earnings, or $____ in federal taxes and 6% of her earnings, or $____ in state taxes. She pays ____ % of her earnings, or $____ for insurance. After these deductions, Ms. Rogers takes home $_____131.768175.685492,1961,339.56 Where do reactions in a solid generally take place?A. At the center of the solid.B. All throughout the solidC. Only on opposite sides of the solid due to repelling forces.D. On the surface of the solid. Convert the concentration of 0.700 M Na2SO4 to g/mol which best describes nuclear energy?A the energy that matter has due to the vibrations of its particlesB the energy an object has due to its chemical bondsC the energy generated by a flow of electronsD the energy stored inside the center of an atom what is an issue affecting your community Which expression best estimates 6 and three-fourths divided by 1 and two-thirds?Which expression best estimates 6 and three-fourths divided by 1 and two-thirds? Cars arrive at an automatic car wash system every 10 minutes on average. The cars inter-arrival times are exponentially distributed. Washing time for each is 6 minutes per car and is purely deterministic (i.e., the waiting line system is M/D/c). Assuming that the car wash has a single bay to serve the cars, what is the average number of cars waiting in line (L.)? Which best compares the authors' purposes in Silent Spring and "Save the Redwoods"? why Fossil fuel has been used more in the existing world ? Think of one behavior that used to be a considered legal/moral deviance in the past that today is more likely to be seen as a medical condition. Then, answer the following questions:a. What is this behavior?b. Who responded to this behavior (police, community, therapist, teacher...) in the past and who responds to it presently (you might want to do some online research on this if you don't know; just make sure to cite your source)?c. How was this behavior dealt with in the past, and how is it dealt with in the present? A new member of your team is visually impaired. He's having a hard time reading his computer screen. How can you show that you value diversity? a) Suggest the organization may not be a great fit. O b) Tell him to apply for a different job within the organization that does not b) require computer usage. 12 Od Tell him that he might want to schedule an eye exam. c) d) Provide access to technology that can magnify or read what is on the computer screen. Question # 1Fill in the BlankComplete the following sentence. Mobility refers to the ability to _____. The density of toluene (C7H8) is 0.867 and that of thiophene (C4H4S) is 1.065 g/ml. A solution is made by dissolving 10.00g thiophene in 250.00ml of toluene. a)Calculate the molarity of the solution b)Assuming the volume are addictive ,calculate the molarity of the solution Two train 75 km apart approach each other on parallel tracks, each moving at15km/h. A bird flies back and forth between the trains at 20km/h until the trains passeach other. How far does the bird fly?