All categories

3 years ago

The function f(x) = x^3 is transformed to f(x) = 4x^3. Which statement describes the graph of the transformed function?

Mathematics

1 answer:

Natalka [10]3 years ago

8 0

Answer: Option D.

Step-by-step explanation:

The translation is defined as

$g(x)=kf(x)$

Where, k is stretch factor.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.

It is given that,

$f(x)=x^3$

After transformation the function becomes

$f(x)=4x^3$

here, k=4>1, so the graph was stretched vertically by a factor of 4.

Therefore, the correct option is D.

You might be interested in

Can someone help me & explain, please?

GenaCL600 [577]

Put the numbers in the data set in order from smallest to largest:

44, 45, 45, 47, 49, 50, 50, 51, 55, 55, 55, 56

The smallest number is 44, the largest is 56, so the outside lines need to be above those numbers.

Both A and B have that.

Now find the median ( the average of the middle two numbers)

The middle two numbers from the list are 50 and 50 so the median would be (50 +50) /2 = 100/2 = 50

The middle line inside the rectangle needs to be above 50.

This makes the answer A.

7 0

3 years ago

Find the distance between (1,2) and (5,5).

masha68 [24]

Answer: 5

Step-by-step explanation:

Use the distance formula to determine the distance between the two points.

3 0

3 years ago

The 300 students at a school voted on four possibilities for an end-of-the-year event. The results are shown in the graph below.

fenix001 [56]

Step-by-step explanation:

44-18=26

if 300=100 percent

? =26 percent

26×300=7800

7800÷100=78

the answer is 78 students

5 0

3 years ago

Max's Moving Company charges a $75 loading fee to move your boxes. They also charge $2 per mile that they have to drive the van

maks197457 [2]

Answer:

y=75+2x

Step-by-step explanation:

Given data

Loading fee=$75

Charge per mile= $2

Let the distance be x

and the total charge be y

Hence the expression for the total charge is

y=75+2x

3 0

3 years ago

Solve dy/dx + y/x square = 1/x square

Yanka [14]

Answer:

See below.

Step-by-step explanation:

$\frac{dy}{dx}+\frac{y}{x^2}=\frac{1}{x^2}\\\\\frac{dy}{dx}=\frac{1}{x^2}-\frac{y}{x^2}\\\\\frac{dy}{dx}=\frac{1-y}{x^2}$

The first step could be more complicated if the fractions didn't already have a common denominator.

5 0

3 years ago