PLEASE HELP!! Write an equation of g(x) that represents an exponential base “e” parent function with the following transformations:

Reflect over y-axis, shift right 7, vertical stretch by 12

Answers

Answer 1

Answer:

[tex]g(x) = 12 {e}^{ - x - 7} [/tex]

Step-by-step explanation:

The parent function is

[tex]g(x) = e {}^{x} [/tex]

First it is asked to reflect over the y axis so using the rule

[tex]g(x) = g( - x)[/tex]

Our function looks like

[tex]g(x) = e {}^{ - x} [/tex]

Then we are asked to shift the equation to the right 7. When shifting to the right or move the x axis, instead of adding 7 we would want to subtract 7 since the x axis is the independent variable and we must respect the y axis which is the dependent so using the rule

[tex]g(x) = g(x - h)[/tex]

When subtracting a 7 it looks like now

where h is the number we move . Now we are asked to apply a vertical stretch of 12. Since vertical stretch refers to the y axis, we are just going to multiply the function by 12 using the rule

[tex]g(x) = a \times g(x)[/tex]

where a is the vertical stretch. So now it would look like

[tex]g(x) = 12 {e}^{ - x - 7} [/tex]


Related Questions

A car depreciates in value each year. Which of the following is NOT true about the value of the car after t years

Answers

Answer:

The car will be worth more in 20 years than the amount it was purchased for.

Step-by-step explanation:

If you look at the graph you see a downward trend, not an upward. That makes it impossible for it to be worth more Hopefully this helps.

Answer: B (top right)

Step-by-step explanation:

Derek has a bird that weighs 3 pounds. Use the double line diagram below to help you determine approximately how many kilograms this bird weighs.

2 lines. The first line is labeled Pounds and has 6 marks, equally spaced apart, and every other mark labeled 3, 5, 7, respectively. The second line is labeled Kilograms and has 6 marks, equally spaced apart, and every other mark labeled, 1, 2, 3, respectively.
(2 points)

1.5 kilograms
3 kilograms
5.5 kilograms
6 kilograms

Answers

Answer:

about 1.5 kilograms

Step-by-step explanation:

3 pounds=1.36078 so that is closer to the answer 1.5 kilograms

Answer:

1.5

Step-by-step explanation:

i took the test

I need help with 1 through 10

Answers

Answer:

1) yes

2) no

3) no

4) no

5) yes

6) yes

7) yes

8) yes

9) circle equation - B

10) circle equation - D

11) 12 people in each team

sorry im not able to answer for 12 , 13 and 14 i have urgent work im so sorry

a- ¿Quiénes se oponían a Rosas?

Answers

Answer:

Los de los claveles, que tenían competencia con ellos

−15(x−4)=−2 the 15 is one fifth pls help

Answers

X=-6
1(x-4) over 5 =-2
Multiply all terms by the denominator to get simplified x-4=-10
Add 4 to each side to get x=-6

What is the lateral surface area of the solid?

Answers

This is hard but I solved and I think it’s going to be B

8. Do the representations below define a function? *
y =
x - 2
Yes, it is a function.
No, it is not a function.

Answers

Answer:

Step-by-step explanation:

Yes it is a function. Every x has only 1 y associated with it.

$0.25 per bottle water

$0.40 per bottle water

$0.50 per bottle water

6-pack

12-pack

24-pack

Answers

Answer:

24-pack

Step-by-step explanation:

you are paying less per bottle than the other 2 packs.

6X + 8Y - 4Z = 5

1X + 2Y + 5Z = 9

9X - 3Y + 3Z = 6


Por favor cómo se resuelve esta matriz por método Gauss-Jordan

Answers

Responder:

la solución (x, y, z) es (4.48, 4.86, -1.04)

Explicación paso a paso:

Dadas las ecuaciones simultáneas;

6X + 8Y - 4Z = 5 .... 1

1X + 2Y + 5Z = 9 ... 2

9X - 3Y + 3Z = 6 .... 3

Primero necesitamos reducir el sistema de ecuaciones

Ecuación 1 * 1

Ecuación 2 * 4

__________

6X + 8Y - 4Z = 5

4X + 8Y + 20Z = 36

Restar

6x-4x - 4z-20z = 5-36

2x-24z = 31 ... 4

también

ecuación 2 * 3

ecuación 3 * 2

_______________

1X + 2Y + 5Z = 9 * 3

9X - 3Y + 3Z = 6 * 2

_______________

3x + 6y + 15z = 27

18x - 6 años + 6z = 12

Agregar

3x + 18x + 15z + 6z = 27 + 12

21x + 21z = 39 ...... 5

Resolviendo 4 y 5

2x-24z = 31 ... 4 * 21

21x + 21z = 39 ...... 5 * 2

____________

42x - 504z = 651

42x + 42z = 78

Sustraer

-504x - 42z = 651-78

-546z = 573

z = -573/546

z = -1.05

Sustituye z = -1.05 en 4

De 4;

2x-21z = 31

2x - 21 (-1,05) = 31

2x + 22,04 = 31

2x = 31-22.04

2x = 8,96

x = 8,96 / 2

x = 4,48

Obtener y

De 2:

X + 2Y + 5Z = 9

4.48 + 2y + 5 (-1.04) = 9

2 años + 4,48-5,2 = 9

2y = 9 + 0,72

2 años = 9,72

y = 9,72 / 2

y = 4,86

Por tanto, la solución (x, y, z) es (4.48, 4.86, -1.04)

The ratio of boys to girls at a movie is 5:4 . If there are 16 girls ​, how many boys are at the​ movie?

Answers

Answer:

,it's 15. and here's why: if i pick 4,its makes 12 because 3x4=12 and if you put 3 with 5,you get 15 which is the answer.

Step-by-step explanation:

It is 20. How do you get from 4 to 16? You multiply by 4! Thus, times 5 by 4 to get the answer, whilst keeping the ratio.

The Johnson family is taking a road trip. They travled 456 miles in 8 hours. James said their rate is 57 miles per hour.
Do you agree with James? Explain

Answers

Answer:57

Step-by-step explanation:

I would do 456/8 to figure out how many miles they went every hour, 456/8 is 57 so James is correct.

HELPPPPOMOGMGOGMGOGKM PLS ANSWER THIS CORRECTLY PLZZZ THIS IS FOR A VERY IMPORTANT TEST YOUWILL GET BRAINLIEST HELP

Answers

Answer:

i cant give u the answer but here is an example hope this helps slope  =  "rise over run"  the difference in y values divided by the difference in x values

= 6/-3 = -2 = m.  It's negative because as x increases, y decreases

plug that into the point slope formula, with either point.  generally use the most simple point

y-h= m(x-k) where m= -2 and (k,h) = (2,-2)

y+2 = -2(x-2)

simply if you want

Y = -2x +4 -2 = -2x +2

or

2x +y = 2

Step-by-step explanation:

Answer:

Your slope is -1

Your y inter is -3

Step-by-step explanation:

Hope this helps you :)

Write twenty three and four hundredths as a decimal

Answers

Answer:

23.04

Step-by-step explanation:

Answer:

23.04

I really hope you have really nice day and if you need any help whatsoever im here to help. Could i have brainleist/crown?

On which triangle can the law of cosines be applied once to find an unknown angle measure? Law of cosines: a2 = b2 + c2 – 2bccos(A) Triangle X W Y is shown. Angle X Y W is a right angle. The length of hypotenuse W X is y, the length of X Y is a, and the length of W Y is 9. Triangle W X Y is shown. Sides W X and X Y are congruent. The length of W Y is 7. Triangle W X Y is shown. Angle X Y W is 76 degrees. The length of X Y is 5, the length of W Y is 10, and the length of W X is y. Triangle W X Y is shown. The length of W X is 10, the length of X Y is 8, and the length of W Y is 16.

Answers

Answer:

C) Angle X Y W is 76 degrees. The length of X Y is 5, the length of W Y is 10, and the length of W X is y.

Step-by-step explanation:

On which triangle can the law of cosines be applied once to find an unknown angle measure?

The Law of cosines is given as:

a² = b² + c² - 2bccos(A)

From the options given above, the correct option is Option C

C) Angle X Y W is 76 degrees. The length of X Y is 5, the length of W Y is 10, and the length of W X is y.

This is because:

Law of Cosines helps us to find an unknown side of a triangle when we are given 2 known sides and 1 angle.

In the above question, we are given angle 76 degree, and the length of two sides: The length of X Y is 5, the length of W Y is 10

The unknown side is the length of W X which is represented as y.

Hence, Option C is the correct option.

Answer:

D

Step-by-step explanation:

I got it right on my program.

use long or synthetic division to find the following quotients
(x^3+2x^2!22x-45)÷(x+5) ​

Answers

Answer:

[tex]\boxed{\textsf{ The quotient is $\sf x^2-3x-7$ and the remainder is (-10).}}[/tex]

Step-by-step explanation:

Here we will be using long division method to find the quotient . Here we need to divide (x³+2x²-22x-45) and (x+5) . So lets divide .

x+5) x³+2x²-22x-45 ( x² -3x -7

x³ + 5x²

- -

______________

- 3x²-22x -45

-3x² -15x

+ +

______________

-7x -45

-7x -35

______________

-10

Quotient = x² -3x -7

Remainder = (-10)

Hence the quotient is -3x -7 and the remainder is (-10) .

arrange in order from least to greatest. -3/5, 7/-10,-5/6
[tex] \frac{ - 3}{5} \frac{7}{ - 10} \frac{ - 5}{6} [/tex]
plzz help!!!
fast!!
it is due in 10 min..
I'll make brailiest whose ans is correct...​

Answers

-3/5 = -0.6
-7/10 = -0.7
-5/6 = -0.8333

It’s easier to put them in decimal form!

Remember that in the negatives, the highest number is the lowest.


From least to greatest;

-5/6, -7/10, and -3/5

Mr. Tanner bought some boxes of markers with 18 markers in each box. He kept 2 markers and gave the rest to his students. Use the equation below to calculate the number of boxes (b) he bought. 18b – 2 = 214

Answers

Answer: 18b-2+2=214 +2

Step-by-step explanation:Add 2 both sides of the equation

Answer:

b = 12; he bought 12 boxes.

Step-by-step explanation:

18b - 2 = 214 (subtract 2 on both sides)

18b = 216 ( divide 18 on both sides to get 'b' alone)

b = 12

Solve each single-step equation. Show your work. -15+n=-9

Answers

Answer:

6

Step-by-step explanation:

-15+6 means it goes minus basically its 15-6(-15+6)=-9

Answer:

n=24

Step-by-step explanation:

First add 15 to the right side equaling 24. Therefore n=24

Please help :( Find X.
Round to the nearest tenth.

Answers

90^2 = 55^2 + 50^2 - 2(55)(50)cosX
(90^2 - 55^2 - 50^2)/(2(55)(50)) = cosX
X = 62.1°

PLEASE HELP ME THIS IS TIMED
find the value of x srt :(

Answers

Answer:

3

Step-by-step explanation:

What is the value of the expression below when x equals 4?

13 + 15x

Answers

Answer:

73

Step-by-step explanation:

Answer:

73

Step-by-step explanation:

13+15*4

13+60

73

Probability tree diagram​

Answers

Answer:

?

Step-by-step explanation:

can you explain a little more

I’m not quite sure what you mean

What is the volume, in cubic inches, of a cylinder whose diameter is 6
inches and whose height is 24 inches?

Answers

Hey,

The formula is V= (pie)(r squared)(height). You have all the values except the radius. Remember: radius is half of the diameter. Hope that helps!

Which quadrants are (-4,5) in

Answers

Answer:

Quadrant 2

Step-by-step explanation:

Take a look at the picture I added it should help you on futures questions like this :)

One bottle contains 250 ml of juice. Soham wants 2 liters of juice. How many bottles should he buy?

Answers

Answer:

8 bottles

Step-by-step explanation:

8 bottles
2000 mL in 2L
2000/250= 8

Choose the number that correctly completes the ratio table.

Answers

Answer:

its 8:9

Step-by-step explanation:

It would be 8 because you can see that the top row multiplies 16 by two in the exact spot where the missing number is.

Find each angle measure to the nearest degree please help

Answers

9514 1404 393

Answer:

4°48°

Step-by-step explanation:

The inverse cosine function of your calculator is used to find the angle from the cosine value. (Be sure your calculator is set to 'degrees' mode.)

1) A = arccos(0.9976) ≈ 4°

2) U = arccos(0.6691) ≈ 48°

ANSWER ASAP
Which situation can be represented by this equation?

6 + 0.5x =26

A. Anne earns money for walking dogs. She charges $6 per
walk plus $0.50 per dog. What is x, the amount of money
Anne charges to take one doge on 26 walks?

B. Anne pays $6 to enter a carnival and $0.50 for every ride
she goes on at the carnival. What is x, the number of rides
Anne can go on if she has $26 to spend at the carnival?


C. Anne earns $6.50 per hour babysitting. What is x, the
number of hours Anne babysits if she earns $26?

D. Anne is downloading a game and some songs to her phone. The game cost $6, and each song cost $0.50.
What is x, the total amount Anne pays for the game and 26 songs?

Answers

58 because is 8 so 9 x8 is 9907 I’m math so answer :5

HELP HELP PLSSSSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

19

Step-by-step explanation:

31 +9 =40

40 by 2 = 20

9-5=4

4 by 4= 1

20-1= 19

9 for the answer is 1
10 I’m not 100%sure on this but pretty sure it’s 359
Hope this helps!!

Jake and Natalya both have jobs that pay by the hour. The amounts they earned based on various numbers of hours worked are shown in the tables. Which of these statements is correct? Immersive Reader

A. If the amount Abby earns can be described by p=11.75h, where p is her pay and h is the number of hours worked, the Abby earns more per hour than Jake and less per hour than Natalya.
B. If the amount Bobby earns can be described by p=10.75h, where p is his pay and h is the number of hours worked, then Bobby earns less per hour than Jake and Natalya.
C. If the amount Deion earns can be described by p=12.25h, where p is his pay and h is the number of hours worked, the Deion earns more per hour than Jake and Natalya.
D. If the amount Frederica earns can be described by p=12.75h, where p is his pay and h is the number of hours worked, then Frederica earns less per hour than Jake and Natalya.

Answers

The answer is B...

Explanation....
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