consider the following. the parent function is f(x)=3^x.
partA- IF g(x)=f(x)+k whats the value of k?
part B- if h(x)=f(x+k) whats the values of k?
partC- write the function of G(x) and H(x)

Answer:

Part A;

k = -1

Part B

k = -4

Part C

g(x) = 3ˣ - 1

h(x) = [tex]3^{x - 4}[/tex]

Explanation:

The parent function of the graph, is f(x) = 3ˣ

Part A;

g(x) = f(x) + k

When x = 0, f(x) = 3⁰ = 1

g(x) = f(x) + k = [tex]3 ^{x}[/tex] + k

Therefore;

When x = 0, g(0) = f(0) + k = [tex]3 ^{0}[/tex]  + k = k

From the graph, g(0) = -1, therefore;

g(0) = -1 = k

k = -1

Part B

h(x) = f(x + k)

When x = 4, h(4) = f(4 + k) = [tex]3 ^{(4 + k)}[/tex]  

From the graph, h(4) = 1, therefore;

h(4) = 1 = [tex]3 ^{(4 + k)}[/tex]

Therefore, we get;

ln(1) = (4 + k)·ln(3)

4 + k = ln(1)/ln(3) = 0

k = 0 - 4 = -4

k = -4

Part C

g(x) = f(x) + k

f(x) = 3ˣ, and k = -1

Therefore;

g(x) = 3ˣ - 1

h(x) = f(x + k)

f(x) = 3ˣ, and k = -4

Therefore;

h(x) = [tex]3^{x - 4}[/tex]

subject= HINDI
पुष्प-पुष्प से वाक्य बनाए:-​

Do economists have any particular expertise at making normative arguments? In other words, they have expertise at making positive statements (i.e. what will happen) about some economic policy, for example, but do they have special expertise to judge whether or not the policy should be undertaken?

What was your favorite scene from The Pursuit of Hapyness? Why?

What is the difference between the U.S. system of government and Great Britain’s parliamentary system?

What is the mood of the poem?

A.
indignant
B.
doubtful
C.
overwhelmed
D.
conciliatory

TEXT
from The Black Man’s Plea for Justice
by Ephraim David Tyler

Hear me, statesman,

I am pleading to defend

The black man’s cause.

Will you give me the protection

to outline your laws?

Will your lawyers plead my cases

in your courts?

Am I not a citizen?

I pay dear for transportation

over all your railroad track.

I come up to every requirement

and I will always pay my tax.

And when I don’t fill in blanks correctly,

will you kindly teach me how?

Ruling power of this nation,

will you give me justice now?

I prepared your wedding supper

and I dug your father’s grave.

I did everything you asked me

just because I was your slave.

I helped build your great bridges

and I laid your railroad steel.

Oh, I been a mighty power

in your great financial wheel.

And when I don’t do jobs correctly

will you kindly teach me how?

Ruling power of this nation

will you give me justice now?

WILL MARK BRAINLIEST!

Which statement best describes one of the new business models that emerged during the Second Industrial Revolution?


Small businesses cooperated to compete with big business.

Big businesses bought competitors to become monopolies.

Big businesses decided to become smaller to gain efficiency.

Small businesses negotiated with unions to cut labor costs.

Which of the following statements about income and wealth distribution is true? (1 point)
Inheritance distributes wealth more equally.

A. Progressive tax makes income distribution less equal.

B. Access to quality education by a few distributes income more equally.

C. Differences in degree of labor specialization distributes income more equally.

D. Cultural and religious institutional barriers between markets contribute to income inequality.

"It does not require great art, or magnificently trained eloquence, to prove 3 points
that Christians should tolerate each other. I, however, am going further: 1
say that we should regard all men as our brothers. What? The Turk my
brother? The Chinaman my brother? The Jew? The Siam? Yes, without
doubt; are we not all children of the same father and creatures of the
same God?" - Voltaire, Treatise on Tolerance, 1763 1. This quotation by
Voltaire points to which of the following conclusions about the
Enlightenment? *
a. Missionary activities grew stronger during the takeover of the Americas.
b. Many enlightenment thinkers began to use reason to discuss toleration of other
religious beliefs.
O c. Atheism had taken hold in Europe during the age of Enlightenment.
d. Voltaire believed that Christianity should be spread to the Jews, the Turks, as well
as Asia.

Select the correct answer.
What is the mood of the poem?

A.
bewildered
B.
bitter
C.
restless
D.
remorseful

TEXT
Dulce et Decorum Est*
by Wilfred Owen

Bent double, like old beggars under sacks,

Knock-kneed, coughing like hags, we cursed through sludge,

Till on the haunting flares, we turned our backs,

And towards our distant rest began to trudge.

Men marched asleep. Many had lost their boots,

But limped on, blood-shod. All went lame; all blind;

Drunk with fatigue; deaf even to the hoots

Of gas-shells dropping softly behind.

Gas! GAS! Quick, boys!—An ecstasy of fumbling

Fitting the clumsy helmets just in time,

But someone still was yelling out and stumbling

And floundering like a man in fire or lime.—

Dim through the misty panes and thick green light,

As under a green sea, I saw him drowning.

In all my dreams before my helpless sight,

He plunges at me, guttering, choking, drowning.

If in some smothering dreams, you too could pace

Behind the wagon that we flung him in,

And watch the white eyes writhing in his face,

His hanging face, like a devil’s sick of sin;

If you could hear, at every jolt, the blood

Come gargling from the froth-corrupted lungs,

Obscene as cancer, bitter as the cud

Of vile, incurable sores on innocent tongues,—

My friend, you would not tell with such high zest

To children ardent for some desperate glory,

The old Lie: Dulce et decorum est

Pro Patria Mori.

*Translation of Latin: It is sweet and fitting to die for one’s country