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)

Consider The Following. The Parent Function Is F(x)=3^x.partA- IF G(x)=f(x)+k Whats The Value Of K?part

Answers

Answer 1

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]


Related Questions

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

Answers

Answer:bewildered

Explanation:

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.

Answers

Answer:

Big businesses bought competitors to become monopolies.

Explanation:

i took the test

Answer: B.) Big businesses bought competitors to become monopolies.

Explanation:

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?

Answers

Answer:The answer is a.

Explanation:

Because indigant means feeling or showing anger or anoyance at what is percived as unfair treatment

Answer:

Look at the attachment. Took the test on Edmentum

Explanation:

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

Answers

Hmmm... I'd say checks and balances.

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

Answers

Answer:

'The Pursuit of Happyness' brilliantly shows how Chris Gardner ignores the doubts his wife has and successfully reaches the top. This movie gave me the courage to disregard the doubts people have and the self-doubts I have. It taught me to believe in myself even when the world isn't inclined to.

Explanation:

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

Answers

Answer:

She engraved the ring in a floral pattern.

I've never really cared for floral patterns.

Floral tributes were piled up outside the church.

There were floral tributes from friends and colleagues.

In this living room we've mixed glorious floral prints.

There's a floral pattern on the curtain.


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?

Answers

Yes, economists have expertise at making normative statements. The study of economics is only possible through reducing complex situations into simple models by using normative statements.

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.

Answers

Answer:

c or d ii think

Explanation:

Wealth is distributed in a highly unequal fashion, with the wealthiest 1 percent of families in the United States holding about 40 percent of all wealth and the bottom 90 percent of families holding less than one-quarter of all wealth. ... Notably, 25 percent of families have less than $10,000 in wealth.

The correct information about Income and wealth distribution is D. Cultural and religious institutional barriers between markets contribute to income inequality.

It should be noted that income and wealth distribution is that discrimination in labor markets distribute income less equally.

Therefore, it can be posited that cultural and religious institutional barriers between markets contribute to income inequality.

Learn more about income on:

https://brainly.com/question/8549393

"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.

Answers

Answer:

yes tgey did fight fight fight over 30 years

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