The graph of F(x), shown below, resembles the graph of G(x) = x^2?, but it has
been changed somewhat. Which of the following could be the equation of
F(x)?

The Graph Of F(x), Shown Below, Resembles The Graph Of G(x) = X^2?, But It Hasbeen Changed Somewhat.

Answers

Answer 1

Answer:

D

Step-by-step explanation:

Slope is negative, derivative of x shows that -3 is the maximum in C/D but C is not negative

Answer 2

The function F(x) = -3(x + 3)^2 + 3.

The correct option is (D).

What is a Function?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). A variable y is said to be a function of the independent variable x if there is a relationship between them.

As per the given data:

We are given the equation of the functions G(x) and we have to find out the equation of the function F(x).

Equation of G(x) = x^2

For a left shift of 3 units x → x + 3.

⇒ y = (x + 3)^2

For a change in concavity, if the curve, multiply by -3.

⇒ y = -3(x + 3)^2

For an up shift of 3 units y → y -3.

⇒ y - 3 = -3(x + 3)^2

The function F(x) comes out to be:

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

Hence, The function F(x) = -3(x + 3)^2 + 3.

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Related Questions

Robert is collecting books to donate to the library.
The number of books he collects, nn, is defined by n=14d+21 where d is the number
of days he spends collecting books.
What does 14 represent in the context of Robert's book collecting?
A represents the number of books per day that are collected.
B represents the number of books per week that are collected.
C represents the number of books per month that are collected.
D represents the number of books per year that are collected.

Number 6 btw

Answers

The answer is c because it makes sense that it would be months.

Answer:

is A because basically in my EXAM is just have the first option

Which expression is equal to 2xx−2−x+3x+5?

Answers

Answer:

It's the fourth one

Following are the solution to the given expression:

Given:

[tex]\bold{\frac{2x}{x-2}- \frac{x+3}{x+5}}[/tex]

To find:

Expression =?

Solution:

[tex]\to \bold{\frac{2x}{x-2}- \frac{x+3}{x+5}}\\\\\to \bold{\frac{2x(x+5) -(x+3) (x-2)}{(x-2)(x+5)}}\\\\\to \bold{\frac{2x^2+10x -(x^2 -2x+ 3x-6)}{(x-2)(x+5)}}\\\\\to \bold{\frac{2x^2+10x -(x^2 +x-6)}{(x-2)(x+5)}}\\\\\to \bold{\frac{2x^2+10x -x^2 -x+6)}{(x-2)(x+5)}}\\\\\to \bold{\frac{x^2+9x+6}{(x-2)(x+5)}}\\\\[/tex]

Therefore, the answer is "last choice".

Learn more:

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I don't understand math please help me

Answers

Answer: I cant really read the questions.

Step-by-step explanation:

The questions are a bit blurry can you post again

What is the value of the expression when a = 4, b = 3 , and c = 10?

3a4b−c


a 1

b 4

c 6

d 12

Answers

Answer:

3a4b-c

3(4)4(3)-10

12(12)-10

144-10

=134

Step-by-step explanation:

Answer:

134

Step-by-step explanation:

3×4=12

4×3=12

12×12=144

144-10=134

thats what I got

hope it helps

Doe has 2 3/8 pounds of hamburger meat. He is making 1/4 pound hamburgers .Does doe have enough meat to make 10 hamburgers

Answers

He doesn’t have enough, he has 19/8 and needs 20/8 for 10 burgers, he’s missing 1/8 :)

pls help me it would mean a lot <3

Answers

I believe it would be y=2.5x

Have an amazing day :3

Answer:

The equation of the line will be:

[tex]y\:=\:\frac{2}{5}x[/tex]

Step-by-step explanation:

We know the slope-intercept of a line equation is

[tex]y = mx+b[/tex]

where m is the slope and b is the y-intercept

Given two points on a line graph

(0, 0)(25, 10)

Finding the slope between two points

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:0\right),\:\left(x_2,\:y_2\right)=\left(25,\:10\right)[/tex]

[tex]m=\frac{10-0}{25-0}[/tex]

[tex]m=\frac{2}{5}[/tex]

We know that the y-intercept on a line graph can be observed by setting x=0 and checking the corresponding value of y.

From the graph, it is clear

at x = 0, y = 0

Thus, the y-intercept = b = 0

Now, substituting b = 0, and m = 2/5 in the slope-intercept form

[tex]y = mx+b[/tex]

[tex]y\:=\:\frac{2}{5}x+0[/tex]

[tex]y\:=\:\frac{2}{5}x[/tex]

Therefore, the equation of the line will be:

[tex]y\:=\:\frac{2}{5}x[/tex]

Which point is a solution to this system of inequalities?
y 6
A) (7,-8)
B) (2,-3)
C) (5,-2)
D) (4,1)

Answers

Answer:

h

Step-by-step explanation:

Answer:

the answer is  c

Step-by-step explanation:

CAN SOMEONE PLEASE ANSWER THIS QUESTION ASAP!!

Answers

hi, the solving is in the image, answer is 50 ft

have a nice day :)

A store is offering a discount on shorts of 23.4%.The original price of the shirt is $13.24.how much will you have to pay the clerk

Answers

Answer:

Step-by-step explanation:

Hi

Answer:

13.24

Step-by-step explanation:

Your buying a shirt not shorts

CAN SOMEONE PLEASE HELP ME ASAP

Answers

Sawyer you have to go to heaven and piper did you

27.1018494699 round to nearest hundred-thousandth

Answers

Answer:

27.101

Step-by-step explanation:

what is 1234567654323456765432345678876543234567 times 1234567654321234567 times123456788765432345678765432345 times 4 mwahahahhahahahhahah

Answers

Answer:

I have no idea

Step-by-step explanation:

sigh

12345676543234567654323456788765 x 1234567654321234567 x 12345678876543234567876543234...

first you start with

12345676543234567654323456788765 x 1234567654321234567

=

1.5241573e+49

then you multiply the rest

1.5241573e+49 x 12345678876543234567876543234

=

1.8816757e+77

now times by 4

1.8816757e+77 x 4

=

7.5267028e+77

-------------------------------------------------------------------------------------------------

bro this was so hard , , ,

What is the value of x?
- (12 – 8x) = 5x +15 – 7x
Enter your answer in the box.
X=

Answers

Answer:

Step-by-step explanation:

-(12-8x)=5x+15-7x

-12+8x=5x+15-7x

8x+7x-5x=15+12

10x=27

x=27/10

Answer:

x = 27/10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

-(12 - 8x) = 5x + 15 - 7x

Step 2: Solve for x

Distribute negative:                    -12 + 8x = 5x + 15 - 7xCombine like terms:                   -12 + 8x = -2x + 15Add 2x on both sides:                -12 + 10x = 15Isolate x term:                              10x = 27Isolate x:                                       x = 27/10

Given the expression, 3(y + 1) + 2y, which of the following expressions is equivalent?
A
3y + 3

B
5y + 1

C
5y + 3

D
9y + 3

Answers

Answer:

C

5y + 3

Step-by-step explanation:

Seth has 2 ¾ candy bars to give away. If he gives each person ⅛ of a candy bar, how many people will get candy?

Answers

Answer:

22 people

Step-by-step explanation:

Change 2 3/4 into a fraction, 11/4.

Then divide by 1/8

11/4 x 8/1 = 22

WILL MARK BRAINLIEST PLS HELP
choose all of the points that are solutions to the equation y = x2 - 3x - 4

-4,0
-1, 0
0, -4
1, -6
1, 0
3, -7
pls

Answers

Answer:

-1,0

0,-4

1,-6

Step-by-step explanation:

plug in the first number into x and it gets you the second number

(-1, 0), (0, -4), (1, -6) points are solutions of the given quadratic equation.

What is a quadratic equation?

A quadratic equation is an equation where the variable has the highest power of 2.

Given equation is y = x² - 3x - 4

1. For (-4, 0), L.H.S = 0, R.HS = (- 4)² - 3(- 4) - 4 = 24.

Hence, (-4, 0) is not a solution of the given equation.

2. For (-1, 0), L.H.S = 0, R.HS = (- 1)² - 3(- 1) - 4 = 0.

Hence, (-1, 0) is a solution of the given equation.

3. For (0, -4), L.H.S = -4, R.HS = (0)² - 3( 0) - 4 = - 4

Hence, (0, -4) is a solution of the given equation.

4. For (1, -6), L.H.S = -6, R.HS = (1)² - 3(1) - 4 = -6.

Hence, (1, -6) is a solution of the given equation.

5. For (1, 0), L.H.S = 0, R.HS = (1)² - 3(1) - 4 = -6.

Hence, (1, 0) is not a solution of the given equation.

6. For (3, -7), L.H.S = -7, R.HS = (3)² - 3(3) - 4 = -4.

Hence, (3, -7) is not a solution of the given equation.

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Lamar uses his credit card to purchase a new video game system for $375.19. He can pay off up to $175 per month. The card has an annual
rate of 19.2% compounded monthly. How much total interest will he pay?

Answers

Answer:

B

Step-by-step explanation: He will make two payments on the game system and then u divide the 175 with the 19.2 and that will give u the answer

HELP!!! The probability that a male’s foot is between 10 and 12.5 inches is__
p(10

Answers

Answer:

I suggest you use Socratic, it solves questions like this.

Step-by-step explanation:

18% of what number is 22?

Answers

Answer:122.222222

Step-by-step explanation: hope this helps

can i have brainliest?  

solve the following inequality showing all steps -3n+7<4

Answers

[tex]\textsf{Hey there!}[/tex]

[tex]\mathsf{-3n + 7 < 4}\\\\\textsf{SUBTRACT by 7 on your sides}\\\mathsf{-3n+7-7<4-7}\\\mathsf{Cancel\ out: 7-7\ because\ that\ gives\ you\ 0}\\\mathsf{Keep: 4-7\ because\ it\ helps\ us\ solve\ for\ our\ n \ value}\\\bf{{\mathsf{4-7= -3}}}\\\\\mathsf{New\ question: -3n<-3}\\\\\mathsf{DIVIDE\ both\ sides\ by\ -3}\\\mathsf{\dfrac{-3n}{-3}=\dfrac{-3}{-3}}\\\mathsf{Cancel\ out: \dfrac{-3}{-3} \ because\ gives\ us\ 1}\\\mathsf{Keep: \dfrac{-3}{-3}\ because\ it\ gives\ us\ our\ n\ value}[/tex]

[tex]\mathsf{New\ equation: n < \dfrac{-3}{-3}}\\\mathsf{\dfrac{-3}{-3} = -3\div-3 \rightarrow 1}\\\\\huge\textsf{Answer}\huge\downarrow\\\\\boxed{\boxed{\mathsf{Answer: n < 1}}}\checkmark\\\\\\\\\textsf{Good luck on your assignment and enjoy your day!}\\\\\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]

True or false are all structures made by humans and why

Answers

Answer:

mostly. trees and most plants arent

Don’t understand pls help

Answers

Answer:

-1.5x + 3

Step-by-step explanation:

The Y-intercept is visible, wherever the line is touching the Y-Axes is the intercept. Use this formula to solve for slope:

There are 125 people on a mountain trail. If 84% of the people on the trail are on a hiking tour, how many people are on the tour

Answers

Answer:

Total people on the tour will be: 105 people

Step-by-step explanation:

Total people on a mountain trail = 125

Given that 84% of the people on the trail are on a hiking tour.

We need to determine how many people are on the tour.

All we need is to multiply 84% or 0.84 by 125.

i.e.

People are on the tour = 84% × 125

                                      = 84/100 × 125

                                      = 0.84 × 125

                                      = 105 people

Therefore, total people on the tour will be: 105 people

Find how many solutions there are to the given equation that satisfy the given condition.
y1 +y2+y3+y4=27, each yi is a nonnegative integer.

Answers

Answer:

17550 solutions

Step-by-step explanation:

Given that:

y1 +y2+y3+y4=27

where;

(yi  ≥ 0 and yi [tex]\epsilon[/tex] [tex]{\displaystyle \mathbb {Z} }[/tex]  )

The no. of a nonnegative integer determines the number of ways to choose 27 objects from (4) distinct objects with repetition regardless of the order.

i.e

[tex]\bigg(^{27}_{4} \bigg)[/tex]

The number of nonnegative integer solution is [tex]\bigg(^{27}_{4} \bigg)[/tex]

[tex]= \dfrac{27!}{4!(27-4)!}[/tex]

[tex]= \dfrac{27!}{4!(23)!}[/tex]

[tex]= \dfrac{27\times 26\times 25\times 24 \times 23 !}{4\times 3\times 2\times 1(23)!}[/tex]

[tex]= \dfrac{27\times 26\times 25\times 24 }{4\times 3\times 2\times 1}[/tex]

[tex]= \dfrac{421200}{24}[/tex]

= 17550 solutions

What is the length of the line?

Answers

Answer:

4 units

Step-by-step explanation:

Answer:3/4

Step-by-step “ time/ distance?

Given the function f(x) = -x2– 7x + 18, determine the average rate of change
of the function over the interval – 10 < x < -1.

Answers

Answer: 4

Step-by-step explanation:

answer the following correctly

Answers

Answer:

[tex] y = -\frac{10}{3}x - 23 [/tex]

Step-by-step explanation:

Find slope (m) using of the line that passes through (-9, 7) and (-6, -3).

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - 7}{-6 -(-9)} = \frac{-10}{3} = -\frac{10}{3} [/tex]

Find y-intercept (b) by substituting m = -10/3, x = -6, and y = -3 in y = mx + b.

Thus:

-3 = (-10/3)(-6) + b

-3 = 20 + b

Subtract 20 from each side

-23 = b

b = -23

substitute m = -10/3, and b = -23 in y = mx + b, to get the equation.

The equation of the line would be:

✅ [tex] y = -\frac{10}{3}x + (-23) [/tex]

[tex] y = -\frac{10}{3}x - 23 [/tex]

Assume that 12 jurors are randomly selected from a population in which 73% of the people are Mexican-Americans. Refer to the probability distribution table below and find the indicated probabilities.

0 0+
1 0+
2 0.0001
3 0.0007
4 0.004
5 0.0172
6 0.0542
7 0.1255
8 0.2122
9 0.2549
10 0.2068
11 0.1016
12 0.0229


Find the probability of exactly 5 Mexican-Americans among 12 jurors. Round your answer to four decimal places.
P(x=5)=



Find the probability of 5 or fewer Mexican-Americans among 12 jurors. Round your answer to four decimal places.
P(x≤5)=



Does 5 Mexican-Americans among 12 jurors suggest that the selection process discriminates against Mexican-Americans?

no
yes

Answers

Answer:

I'm not sure if i'm correct but i'm guessing no

Step-by-step explanation:

Please helpp I’ll give brainleist

Answers

Answer:

87 for lo and om is 56

Step-by-step explanation:

Answer:

<LON= 98 Degrees

Step-by-step explanation:

180-55(2)=70

70+28=98

Identify the radius of the circle.
Help ASAP pls!!!
*its hw*!

Answers

The radius is EG because it’s half the length of the circle.
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