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

find the volume of 4ft 2 ft 3 ft​

Answers

Answer:

24

Step-by-step explanation:

How many triangles can be constructed with sides measuring 15 cm, 7 cm, and 5 cm?



more than one

none

one

Answers

Answer:

More than one

Step-by-step explanation:

Trust me, I know.

Answer:

none

Step-by-step explanation:

i have proof i just took the test

Please help ASAP Explanation is appreciated!

Answers

Answer:

x=20, y=100

Step-by-step explanation:

3x+2x=7x-40

5x=7x-40

2x=40

x=20

7x-40=y

140-40=y

100=y

y=100

According to the exterior angle theorem, the two remote interior angles are equal to the exterior angle. This is why we set 3x+2x equal to 7x-40.

According to the vertical angles theorem, two angles that are opposite and formed by two intersecting straight lines are equal. This is why we set 7x-40 equal to y.

Because we already knew that x was 20, we could put it into our equation. (7*20)-40=y.

Hope this helped! :D

cual es el valor de "x" en la siguiente operación? 2x+1=11

Answers

Answer:

Subtract

1

1

1

from both sides of the equation

2

+

1

=

1

1

2

+

1

1

=

1

1

1

2

Simplify

3

Divide both sides of the equation by the same term

4

Simplify

Solution

=

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

tienes que quitar 1 de 1 y 11 y te quedas con 10, despues divides 10 con 2x y tienes 5.

Can you guys help me on the question 4?! :)

Answers

Answer:

Volcanic gray

Step-by-step explanation:

I think because Volcanic Gray and Gray Fox look pretty close to the same color.  Sorry if it is wrong.

D. Volcanic gray I’m pretty sure

bag contains 8 yellow marbles and 24 blue marbles. If a representative sample contains 2 yellow ​marbles, then how many blue marbles would you expect it to​ contain? Explain

Answers

The representative sample would be expected to have 6 blue marbles 8/24:2/x

Hlw to find ghe area of a parallelogram

Answers

Answer:

Hope this helps! :')

Step-by-step explanation:

Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply

Select the correct answer. What is the value of g(2)?​

Answers

The Answer is c !!!!

Answer:A:1

Step-by-step explanation:

Chloe needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3.5 hours and charged her $197 for parts. The total was $389.50. What was the cost of labor, per hour?
This is due today pls help now

Answers

389.50 minus 197 for parts will give you your answer

Answer: the answer is 55

Which point of concurrency always lies on the interior of a triangle? Check all that apply.
A circumcenter
B. orthocenter
C. incenter
D. centroid

Answers

Answer:

incenter hope it helps

Step-by-step explanation:

The point of concurrency that always lies on the interior of a triangle is to be considered as the incenter.

What is incenter?

Here the incenter refer to the concurrency point of the angle bisectors with respect to all of the interior angle.

Here, the point where three angle bisectors of the angles of the triangle should be met out is called as the incenter.

Also, the incenter should always be lies within the triangle.

Therefore, the option c is correct.

Learn more about triangle here: https://brainly.com/question/22176005

A juice company currently sells juice in gallon-size containers but wants to diversify to provide quart-size containers. If the company produces the number of gallons of juice every quarter given in the table, how many quarts will be produced in the first quarter?

The company will produce quarts of juice in first quarter.

Answers

Answer:

Depends on how many gallojs but 4 quarts per gallon

Step-by-step explanation:

Answer:

it is 24

Step-by-step explanation:

I just know it cuz I did it. hope it helps u :)

how do you solve the following problem with a rectangular fraction model ​

Answers

Answer:

1/3 - 1/4 = 1/12Step-by-step explanation:

write 0.000066 in word form

Answers

Answer:

Zero point Zerozerozerozerosixtysix

why every comment but don't ​

Answers

Answer:

thanks

Step-by-step explanation:


Keshia's restaurant bill is $27.00. She wants to leave a 15% tip. How much money will Keshia need in all

Answers

Answer:

30.05

Step-by-step explanation:

10% 27 = 2.7

5% 27 =1.35

2.7+ 1.35 = 3.05

27 + 3.05 = 30.05

13. Given f(x) = X – 3 and g(x) = 4x, find f(g(x)).
A. 4x - 3
B. 4x - 12
C. 5x - 3
D. 3x - 3

Answers

Step-by-step explanation:

f(g(x))

= f(4x)

= (4x) - 3. (A)

Step-by-step explanation:

option A is the correct answer according to my opinion .

plz mark my answer as brainlist if you find it useful.

to find the quotient 3/4 divided 1/8 multiply what by what​

Answers

Answer:

Make 1/8 a reciprocal which would be 8/1 so 3/4 x 8/1 is 24/4 = 6

Can you help me on question 18?!

Answers

Answer:

Store C

Step-by-step explanation:

store a is selling 10 pencils for $2.50

$2.50 divided by 10 is 25 cents

so the price for store a is 25 cents per pencil

store b is selling 50 pencils for $6.00

$6.00 divided by 50 is 12 cents

so the price for store b is 12 cents per pencil

store c is selling 100 pencils for $8.25

$8.25 divided by 100 is 8.25 cents

obviously you can't give someone .25 cents so round it down to 8

so the price for store c is 8 cents per pencil

store d is selling 250 pencils for $21.25

$21.25 divided by 250 is 8.5 cents

which rounds up to 9 cents per pencil

Store c has the lowest price for one pencil

solve the equation 3x+4=20​

Answers

Answer:

x=8

Step-by-step explanation:

Answer:

3x + 4 = 20

_-_4_-_ 4_

   _3x_ =_ 16_

       3         3

Step-by-step explanation:

x = 16_

       3

Need help with this one. Please

Answers

Answer: -8

Step-by-step explanation: If you count from -10 to -2 you get -8 same thing goes if it counting upward.

A container in the shape of a pyramid has a rectangular base with dimensions of 5 inches by 15 inches. The height of the rectangular pyramid is 12 inches. Marbles fill half the volume of the container.

How many more cubic inches of marbles are needed to finish filling the container?

Enter your answer in the box.

in3

Answers

Answer:

150

Step-by-step explanation:

1) the full volume of the given pyramide may be calculated according to the formula:

V=1/3 *Area_of_base*height;

V=1/3 *(5*15)*12=300 (in³).

2) the half of the calculated volume is:

300/2=150 (in³)

Answer:

150

Step-by-step explanation:

A cable TV company charges $28 for the basic service plus $8 for each movie channel. Let y be the total cost
in dollars of subscribing to cable TV, using x movie channels. Find the slope-intercept form of the equation.
Look at pic

Answers

Answer:

y= 28x+8

Step-by-step explanation:

Can anyone help complete this table?

Answers

(-5, 2) (0,1) (3,2/5) (5,0)

Which ordered pair is a solution of the inequality y<3x+1?

A) (-3,-2)
B) (3,14)
C) (1,-3)
D) (1,6)

Answers

Answer:

c) (1,-3)

Step-by-step explanation:

-3<3(1)+1

-3<3+1

-3<4

what is the area of a circular swimming pool with the radius of 3 feet

Answers

Answer:

9[tex]\pi[/tex]

Step-by-step explanation:

r=3

Area of circle: [tex]\pi[/tex][tex]r^{2}[/tex]

if 1 inch equals 50 miles
what does 70 inches equal into miles?​

Answers

Answer:3500 miles

Step-by-step explanation:

1=50

meaning that we can do 70x50

which equals 3500

Answer:

3,500

Step-by-step explanation:

1in = 50 miles

70 in x 50 miles - 3,500, so therefore

70 in = 3,500 miles

hoped i helped you!

What is the face value of 2 in the number 286?

Answers

Answer:

face value = 2

Step-by-step explanation:

Face value = 2

Place value = 200

I hope im right!!

Kristin has 3 2/3 yards of plaid ribbon. She has 2 5/6 yards of polka-dot ribbon.

How much more plaid ribbon than polka-dot ribbon does she have?
Last one

Answers

Answer:

7/8

Step-by-step explanation:

I think but im 60% im right

Find the missing angle measure(s).
55°

Xy
Z
Task 11

Answers

Answer:

w=35°

x= 90°

y=55°

z=35°

Step-by-step explanation:

i just did it. It should be right

FCDEF is congruent to MNPQ, then angle P is congruent to

Answers

Answer:

The angles of both figures are listed in the same order. The first angle of the first one is congruent to the first angle of the second, and the second angle of the first one is congruent to the second angle of the second figure, and so on.

Step-by-step explanation:

You have a repeated 'F' in naming the first figure, so I think you made an error. But the rule in my answer is true and you can apply it.

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