Two exponential functions, fand g, are shown in the figure below, where g is a transformation of f.
Y
4
f
2
X
2
4
- 2
9
2
Which of the rules given below shows the transformation of f?
OA g(x) = f(x) - 4
O B. g(x) = fx-4)
OC.
g(x) = f(x + 4)
OD. g(x) = f(x) + 4

Two Exponential Functions, Fand G, Are Shown In The Figure Below, Where G Is A Transformation Of F.Y4f2X24-

Answers

Answer 1

Answer:

A.)  g (x) = f (x) - 2

Step-by-step explanation:

The first thing we are going to do in this case is to take into account the following definition.

Translations are transformations that change the position of the graph of a function.

The general shape of the graph of a function is moved up, down, to the right or to the left.

The translations are considered rigid transformations. Now we will see how these are performed.

Vertical translations:

Suppose that k> 0

To graph y = f (x) + k, move the graph of k units up.

To graph y = f (x) -k, move the graph of k units down.

Using the definition we conclude that:

g (x) = f (x) - 4

Answer 2

Two exponential functions, fand g, are shown in the figure, where g is a transformation of f, g (x) = f (x) - 4 equation shows transformation of f. The correct option is A.

What is exponential function?

A mathematical function of the form [tex]f(x) = a^x[/tex], where an is a positive constant and x is the input variable, is an exponential function.

The characteristic curve of exponential functions rises or falls rapidly depending on whether an is greater or less than 1.

To determine the transformation of f which gives g, we need to examine how f has been transformed to obtain g.

Looking at the graph, we can see that g is a vertical shift of f. Specifically, g is obtained by shifting f downward by 2 units. Therefore, we need a rule that subtracts 2 from f (x) to get g (x).

Out of the given options, the only one that matches this description is:

g (x) = f (x) - 4

Option A subtracts 4 from f (x), which is not what we observe in the graph. Option B uses an incorrect format and is also subtracting 4 from  f (x).

Option C adds 4 to x, which would result in a horizontal shift, not a vertical shift.

Therefore, the correct answer is A g (x) = f (x) - 2.

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Related Questions

Find the volume of a pyramid with a square base, where the perimeter of the base is 6.9 cm and the height of the pyramid is 2.8 cm. Round your answer to the nearest tenth of a cubic centimeter.

Answers

Answer:

V=2.8cm^3

Step-by-step explanation:

The volume of a pyramid with a square base should be considered as the 2.8 cubic centimeter.

Calculation of the pyramid:

Since

perimeter of the base is 6.9 cm and the height of the pyramid is 2.8 cm.

So, here

we know that

volume of a pyramid = [tex]1/3(length * width * height)[/tex]

And,

perimeter of a square = [tex]4 * length[/tex]

6.9 = 4 x length

So,

length = 1.725

Now the volume is

[tex]= 1/3 * (1.725 * 1.725 * 2.8)[/tex]

= 2.8

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what is the value of 16 to the power 3/4

Answers

Answer:

Step-by-step explanation:

[tex]16^{\frac {3}{4}[/tex] = [tex]\sqrt[4]{16^{3}}[/tex]

So, 16 to the power of 3 equals 4096

[tex]\sqrt[4]{4096}[/tex] = [tex]\sqrt[4]{8^{4}}[/tex]

=8

what is this pls plx helpppp

Answers

Answer:

B. Hunting and gathering.

Step-by-step explanation:

OMG!! We use Canvas 2

Use the volume formula to find the volume of the prism.
2
21
22
O A. 64 cubic units
O B. 12 cubic units
O C. 7 cubic units
O D. 4 cubic units
PREVIOUS

Answers

Answer: B

Explanation: V = w • h • l = 2.5 • 2 • 2.5 = 12.5

how can you determine if the association on scatter plot is strong or weak

Answers

Answer:

We say that a strong negative association exists between the variables x and y. Consider the following scatterplot: We observe that y increases as x increases, and the points do not lie on a straight line. We say that a weak positive association exists between the variables x and y.

Step-by-step explanation:

Answer:

We say that a strong negative association exists between the variables x and y. Consider the following scatterplot: We observe that y increases as x increases, and the points do not lie on a straight line.

Step-by-step explanation:

2 is what percent of 200

Answers

Answer:

1%

divided 2/ 200 and your answer as a persent is  1%

Step-by-step explanation:

may i get brainliest i need 1 more?

2 is 1 percent of 200.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Let 2 is x% of 200.

Now, x% of 200 =2

x/100 ×200 =2

200x=200

x=1

Therefore, 2 is 1 percent of 200.

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Help!!!!!!!!!!!!!!!!!!!! Pleaseee
I will mark you Brianliest!!!!!!!
I need and answer choice
NO random things being type like example>
djksdfjrghbfdfddk45t
I don't need that i need and actual answer please

Answers

Answer:

A. The perimeter of the third triangle will be equal to the perimeter of the second triangle because the lengths of line segments are preserved during translations.

Step-by-step explanation:

When a shape is translated, it simply means it is moved. Nothing about it is being changed besides the location. Therefore, it will have the same perimeter because its sides are the exact same.

I hope this helps! ☺

The answer will be (A) have a wonderful day!

Explain what the equation 3x = 6 means without using the word equal.
Explain why 2 is a solution of the equation

Answers

Step-by-step explanation:

1. 3 multiplied by x is the same value of 6

2. since 3x is on the left side we have to divide the equation by 3 on both sides which doesn't change the value of x, but it helps us get the value for x. so when you divide the equation by 3 the answer for x=6/2 which 2 divided by 6=3

Hope that helps :)

Answer:

Because 3x2=6

Step-by-step explanation:

the radius of a circle is 1 inch . what is the circle's area

Answers

Step-by-step explanation:

area = pi × r²

= 3.14 × 1 × 1 = 3.14 inch²

Answer:

3.14

Step-by-step explanation:

A=πr2=π·12≈3.14159in²

You make $9.50 per hour working at Lids. On Thursday
you spent 1 hours organizing hats, 2
5
hours on
3
the cash register, and 1 hours greeting people.
How much money did you make on Thursday?

Answers

Answer: 47.5

Step-by-step explanation:

Given the kite below, if NO = 5 and OM = 12, what is the value of NM?

Answers

Answer:

NM = 13

Step-by-step explanation:

pythagorean theorem: [tex]a^{2} + b^{2} = c^{2}[/tex]

a or NO = 5

b or OM = 12

c or NM = ?

plug in what is known:

⇒ [tex]5^{2} + 12^{2} = c^{2}[/tex]

⇒ [tex]25 + 144 = c^{2}[/tex]

⇒ 169 = [tex]c^{2}[/tex]

square root each side of the equation:

⇒ [tex]\sqrt{169} = \sqrt{c^{2} }[/tex]

solve:

⇒ 13 = c

The ordered pairs (x, y) define the relation Q.
{(4, 5), (-3,2), (5,5), (, - 3)}
Is Q a function?

Answers

Answer:

A

Step-by-step explanation:

Yes, because there is exactly one x-value for every y-value.

loooook below giving brainliest

Answers

Answer:

32.5 is the correct answer

Find which point is a solution to both equations. y = 3x + 3 ; y = -x + 3

Answers

Y=y

3x+x = 3-3
4x=0
X=0
Put x =0into -x+3

-x(0)+3
Y=3
(X,Y)=(0,3)

Find the area and the circumference of a circle with diameter 8yd

Answers

Answer:

25.12

Step-by-step explanation:

c = 2 pi r

d = 8 so r = 4

c = 2 * 3.14 * 4

c = 25.12

Answer:

Step-by-step explanation:

Given

Diameter (d) = 8 yd

radius (r) = d/2 = 8/2 = 4

Now

Area = π * r²

        = 3.14 * 4²

        = 50.24 yd²

Circumference

= π * d

= 3.14 * 8

= 25.12 yd

PLEASE HELP!!
Find the area of the triangle below

Answers

Step-by-step explanation:

I got 47.5 for this, not sure if its right though.

Caroline is planning on reducing her working schedule and only work 7 hours each day for 4 days a week work out the percentage reduction in Caroline's earnings if she decides to go ahead with her plan

Answers

The percentage reduction in Caroline's earnings if she decides to go ahead with her plan is 30%.

How to calculate the value?

Since Caroline works 8 hours each day for 5 days a week and she's earns £11 per hour. The amount earned for the week is:

= (80 × 5 × £11)

= £440

When she is planning on reducing her working schedule and only work 7 hours each day for 4 days a week. The amount will be:

= (4 × 7 × £11)

= £308

The percentage reduction will be:

= Difference on amount / Old amount × 100

= (440 - 308) /440 × 100

= 132/440 × 100

= 0.3

= 30%

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Caroline works 8 hours each day for 5 days a week. She's earns £11 per hour. Caroline is planning on reducing her working schedule and only work 7 hours each day for 4 days a week work out the percentage reduction in Caroline's earnings if she decides to go ahead with her plan

Pham is saving money to buy new headphones. The headphones cost $200, but she has saved only 45% so far. How much more does Pham need to save to buy the headphones?

please help giving brainlest it’s due in a few minutes (i have to show work so if you can please send an example)
cmon y’all..:(

Answers

Answer:

she needs $110

Step-by-step explanation:

Just multiply 200 by 0.45 to get 90 then subtract 90 from 200

What is the length, in units, of segment CD?

5.50
12.25
8
14

Answers

Answer:

d

Step-by-step explanation:

The answer is C.

Step-by-step explanation:

First, you have to find the angle of ACB using Sine Rule, sinθ = opposite/hypotenuse :

Given that line AB is parallel to line CD so ∠C = 90°. Next, you have to find the angle of ACD :

Lastly, you can find the length of CD using Cosine rule, cosθ = adjacent/hypotenuse :

1. Solve for n: n+5/16 = -1
(A) 96
(B) -96
(C) 21
(D) -21​

Answers

The answer is D -21

Pls help I gat no idea on what the answer is

Answers

Answer:

the answer is A

Step-by-step explanation:

hope it helped

Please help I’m struggling on this

Answers

Answer:

7. m=3 b=-4

Equation y=3x-4

8. m=-6/4 b=7

Equation y=-6/4x+7

Step-by-step explanation:

Answer:

7. m=3 b= -4 , Equation y=3x-4

8. m= -6/4 b=7 , Equation y=-6/4x+7

Step-by-step explanation:

look in the chart

please help if you can thanks ^^

Answers

Given:

AD is an angle bisector in triangle ABC. [tex]m\angle CAB=44^\circ, m\angle ACB=72^\circ, m\angle ABC=64^\circ[/tex].

To find:

The value of [tex]m\angle ADC[/tex].

Solution:

AD is an angle bisector in triangle ABC.

[tex]m\angle CAD=m\angle BAD=\dfrac{m\angle CAB}{2}[/tex]

[tex]m\angle CAD=m\angle BAD=\dfrac{44^\circ}{2}[/tex]

[tex]m\angle CAD=m\angle BAD=22^\circ[/tex]

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.

Using angle sum property in triangle CAD, we get

[tex]m\angle CAD+m\angle ADC+m\angle ACB=180^\circ[/tex]

[tex]22^\circ+m\angle ADC+72^\circ=180^\circ[/tex]

[tex]m\angle ADC+94^\circ=180^\circ[/tex]

[tex]m\angle ADC=180^\circ-94^\circ[/tex]

[tex]m\angle ADC=86^\circ[/tex]

Therefore, the angle of angle ADC is [tex]86^\circ[/tex].

The table shows the relationship between Megan’s earnings and the hours that she worked. What is the missing value in the table?

Answers

Answer:

Where is the table

Step-by-step explanation:

You didn’t include a picture

Given: p || 9;
m || n;
m1 = 75°
What is m2?

Answers

Answer:

∠2 = 105°

Step-by-step explanation:

180° -75° = 105°

I flipped 2 coins 100 times each. They both landed on heads 19 times, 2 tails 29 times, and 1 heads 1 tails 52 times. What is the theoretical AND experimental probability of the coins landing in all 3 ways?

Answers

Answer:

1.What is the theoretical probability that a coin toss results in two heads showing?

33%

2.What is the experimental probability that a coin toss results in two heads showing?

25%

3.What is the theoretical probability that a coin toss results in two tails showing?

33%

4.What is the experimental probability that a coin toss results in two tails showing?

21%

5.What is the theoretical probability that a coin toss results in one head and one tail showing?

33%

6.What is the experimental probability that a coin toss results in one head and one tail showing?

54%

Step-by-step explanation:

Hope this helps, I just finished my assingmnet like this tonight :))

State whether 2.5 + π is rational or irrational. Explain.

Answers

Answer: 2.5 + π is an irrational number.

Step-by-step explanation:

Irrational numbers are numbers that can not be written as the quotient of two integer numbers, and they have an infinite number of digits after the decimal point (such that there is not periodicity in these digits).

So suppose that we have an irrational number and we add 1, then the infinite digits after the decimal point will still be there, so the sum will be also an irrational number.

The same can be seen for the sum between an irrational number and a rational number, where the infinite number of decimals after the decimal point will still be there (because the rational numbers have a finite or infinite but periodical decimals after the decimal point), so the sum between an irrational number and a rational number is always irrational.

In this case, we have the addition:

2.5 + π

Which is the sum of a rational number and an irrational number, so we can conclude that this is an irrational number.

I need help right now, because this is due tomorrow!!!​

Answers

Answer:

1.

mean 13.8 / median 14.5

2.

25.86 / 25

3.

14.43 / 15

4.  

4.875 / 4.5

5.

5.78 / 6

6.

34.11 / 34

7.

28.29 / 28

8.

14.43 / 14

Please Giiive Brillianst!!!!!!!!!!!

HELP!
6. Which graph represents exponential decay?
А.
B.
C.
D.

Answers

C shows exponential decay
c shows exponential!

hey guy i need help wit this ASAP

Answers

Answer:

15x^2+5x^3+9

Step-by-step explanation:

(7x^2+8x^2)+5x^3+9

15x^2+5x^3+9

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