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3 years ago

How do you translate the graph of f(x) = x3 left 4 units and down 2 units? Identify the equation of the graph

Mathematics

2 answers:

Marina CMI [18]3 years ago

8 0

Answer:

The correct option is B.

Step-by-step explanation:

The given function is

$f(x)=x^3$

The translation of a function is defined as

$g(x)=f(x+a)+b$

If a>0, then the graph of f(x) shift a units left and if a<0, then the graph of f(x) shift a units right.

If b>0, then the graph of f(x) shift b units up and if b<0, then the graph of f(x) shift b units down.

It is given that the graph of f(x) shifts 4 units left and 2 units down. So, a=4 and b=-2.

$g(x)=f(x+4)+(-2)$

$g(x)=(x+4)^3-2$ $[\because f(x)=x^3]$

$y=(x+4)^3-2$

Therefore option B is correct.

lbvjy [14]3 years ago

8 0

Answer:

Step-by-step explanation:

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Suppose the average yearly salary of an individual whose final degree is a master's is $41 thousand less than twice that of an

charle [14.2K]

Answer:

The average salary of master's degree people is $ 63,000 And

The average salary of bachelor's degree people is $ 52,000

Step-by-step explanation:

Given in question as :

Let the average salary of master's degree people = $ M And

Let the average salary of bachelor's degree people = $ B

According to question ,

The average salary of master's degree people + The average salary of bachelor's degree people = $115,000

Or , $ M + $ B = $ 115,000 ............. A

Again ,

$ M = 2 × $ B - $ 41,000 ............... B

From eq A and eq B

(2 × $ B - $ 41,000 ) + ( $ B ) = $ 115,000

Or, 3×$ B = 156,000

∴ B = $\frac{156,000}{3}$ = $ 52,000

And M = $ 115,000 - $ 52,000

∴ M = $ 63,000

Hence The average salary of master's degree people is $ 63,000 And

The average salary of bachelor's degree people is $ 52,000 Answer

5 0

3 years ago

I need help with this question

Roman55 [17]

Answer:

3 and 4 are complementary because they both add up to 90

Step-by-step explanation:

3 0

3 years ago

Pls help me with this answer choice question! brainliest, rattings, thanks etc.

galina1969 [7]

Answer:

graph B

Step-by-step explanation:

Given

3y - 5x < - 6

Since the inequality is < then the line must be broken

If ≤ then line would be solid

The only possible graphs are B and D

Choose a test point in the shaded region of each graph and check validity

graph B (2, 0) ← substitute into left side of inequality

0 - 5(2) = 0 - 10 = - 10 < - 6 ← this is valid

graph D (0, 0 ) ← substitute into left side of inequality

0 - 0 = 0 > - 6 ← this is not valid

Hence graph B is the correct graph

3 0

3 years ago

Integrate with respect to x <br><br> 1/√(1-2x)

Ilia_Sergeevich [38]

Answer:

-√(1 - 2x) + C

Step-by-step explanation:

1/√(1-2x)

We want to integrate it. Thus;

∫1/√(1 - 2x) dx

Let u = 1 - 2x

Thus;

du/dx = -2

Thus, dx = -½du

Thus,we now have;

-½∫1/√(u) du

By application of power rule, we will now have;

-½∫1/√(u) du = -√(u) + C

Plugging in the value of u, we will have;

-√(1 - 2x) + C

3 0

3 years ago

What is 5+5+5+5+5+5+5+5+5+5+5+5+5

professor190 [17]

Answer:

Step-by-step explanation:

13x5 = 65

4 0

3 years ago

Read 2 more answers