PLEASE HELP
Create a cubic function that is not the parent function.

Explain how to graph your cubic function using transformations from the parent function. Be specific in your response and use correct mathematical language.

Answers

Answer 1

A cubic function is a function that has a power of 3, and three real roots.

The cubic function is [tex]\mathbf{g(x) = -x^3}[/tex], and the transformation is a reflection across the y-axis

The parent cubic function

[tex]\mathbf{f(x) = x^3}[/tex]

A transformed function of the cubic function may be

[tex]\mathbf{g(x) = -x^3}[/tex]

g(x) means that function f(x) is reflected across the y-axis.

The rule of this transformation is:

[tex]\mathbf{(x,y) \to (x,-y)}[/tex]

So, we have:

[tex]\mathbf{g(x) = -f(x)}[/tex]

Substitute x^3 for f(x)

[tex]\mathbf{g(x) = -x^3}[/tex]

Hence, the cubic function is [tex]\mathbf{g(x) = -x^3}[/tex], and the transformation is a reflection across the y-axis

Read more about cubic functions at:

https://brainly.com/question/20896994


Related Questions

what is 2x-4y=12 x-3y=10

Answers

Answer:

(x,y) = (5/21, -50/21)

Step-by-step explanation:

Factor -4 out of -8k - 12

Answers

Answer:

-4(2k + 3)

Step-by-step explanation:

Factoring is just dividing the whole thing by that

So -8k - 12 becomes -4(2k + 3)

The work of a student to solve the equation 3(2x - 4) = 8 + 2x + 6

Answers

Answer:

false

Step-by-step explanation:

3(2×−4)=8+2×+6

Multiply 3 and 2 to get 6.

6(−4)=8+2×6

Multiply 6 and −4 to get −24.

−24=8+2×6

Multiply 2 and 6 to get 12.

−24=8+12

Add 8 and 12 to get 20.

−24=20

Compare −24 and 20.

4. Prove by mathematical induction that n² +n < 2" whenever n is an integer greater than 4.

Answers

Step-by-step explanation:

n² + n < 2^n

so, let's see what happens, when I increase n by 1

(n+1)² + n + 1 < 2^(n+1) = 2×2^n

n² + 2n + 1 + n + 1 < 2×2^n

n² + 3n + 2 < 2×2^n = 2^n + 2^n

so, we added on the left and on the right side of the inequality sign compared to the original relation :

2n + 2 vs. 2^n

so, once the original relation becomes true (and we see by trying that for n = 1, 2, 3 and 4 it is not, but for n = 5 it becomes true), the next integer follows the original inequality plus the expressions mentioned above.

n² + n + (2n + 2) < 2^n + (2^n)

this inequality will remain true, if

2n + 2 <= 2^n

n + 1 <= 2^(n-1), which is true for n > 2 (and therefore also n > 4), because the "power of" function 2^n progresses much faster than a simple n+1

and therefore this relation remains true for any larger n.

For every 3 boys in the class, there are 4 girls. How many boys are in the class if there 24 girls in all?

Answers

18 I believe because 4x6 is 24. So you do 6x3 which equals 18.

Write the equation of the line in slope intercept form

Slope =−1/5 Y-Intercept =−3

Answers

Answer:

y = mx + c ......( general form)

y = -1/5X - 3

4/7 into decimal??? Then rounded to 3 decimal places??

Answers

Answer:

0.571

Step-by-step explanation:

:)

Sequences

3, 7, 11, 15, ____, _____
4, 8, 16, 32, ____, _____
9, 16, 25, 36, ____, _____
256, 64, 16, 4, ____, _____
50, 45, 34, 26, ____, _____

Answers

    [] 3, 7, 11, 15, 19, 23

4 is being added

    [] 4, 8, 16, 32, 64, 128

They are being multipled by 2

    [] 9, 16, 25, 36, 49, 64

It is increasing the addition by 2s, first one is adding 7, then 9, then 11, etc

    [] 256, 64, 16, 4, 1, 1/4

It is being divided by 4

    [] 50, 45, 34, 26, ____, _____

I am currently unsure on this one, if I figure it out I will edit my answer to reflect that!

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

what is 1483 divided by 7? what is the remainder​

Answers

Answer:

211 remainder 6

Step-by-step explanation:

Step-by-step explanation:

211,85714

211 is the whole number

,85714 is the remainder

Estimate the difference of $19 320 and $9 876?​

Answers

Answer:

$9444 Is the difference

Step-by-step explanation:

$19,320 - $9876 = 9444$

(Hope this helps can I pls have brainlist (crown)☺️)

In a class of 60 students, 38 are Democrats, 12 are business majors, and 8 of the business majors are Democrats. If one student is randomly selected from the class, find the probability of
choosing a Democrat or a business major.
P(Democrat or business major) =
(Simplify your answer. Type an integer or a simplified fraction.)

Answers

Answer:

7/10 or

0.7 or

70 percent

Step-by-step explanation:

[tex]p (democrat \: or \: business \: major \: ) = \frac{30 + 4 + 8}{60} [/tex]

[tex] = \frac{42}{60} [/tex]

[tex] = 7/10[/tex]

Therefore, the probability is 7/10, 0.7 or 70 °/•

one added to the square root of the sum of a number and one is equal to four. find the number​

Answers

[tex]\stackrel{\textit{one added to the }\sqrt{\qquad }}{1+\sqrt{\quad }}~~,~~ \stackrel{\sqrt{~~}\textit{ of a number and one}}{\sqrt{x+1}}\implies 1+\sqrt{x+1}\stackrel{\textit{equals}}{=}4 \\\\\\ \sqrt{x+1}=3\implies \left( \sqrt{x+1} \right)^2=3^2\implies x+1=9\implies \boxed{x=8}[/tex]

How is solving for speed similar to solving for time

Answers

Answer: The both involve writing a rate

I hope this helps i would appreciate brainliest if possible :)

A loan is paid in 15 years with a total of $192.000. It had a 4% interest rate that compounded monthly. What was the principal?

Round your answer to the nearest dollar and do not include dollar sign

Answers

I really don’t know but I feel like if it’s 4% it should be the nearest


You want to buy some noodles. A 7-ounce package costs $2.24. A 12-ounce package costs $4.08.
An 18-ounce package costs $5.58. Which package is the best buy?

Answers

2.24 divided by 7 is 0.32

And 5.58 divided by 18 is 0.31

So 5.58 is cheaper

Translate the English phrase into an algebraic expression: the sum of the quotient of 3 and 2m, and the product of 8 and
m.
Enter all quotients as fractions,

Answers

Answer:

[tex]\frac{3}{2m}[/tex]+8m

Answer:

the sum of quotient of 3 and 2m and the product of 8 and m is

(3/2m +8m)

What is the probability that a positive integer not exceeding 100 selected at random is divisible by 3

Answers

Answer:

33/100

Step-by-step explanation:

E = 99/3

p = E/S = 33/100

2. which of the following shows the cube of a binomial?​

Answers

Answer:

Socratic app

Step-by-step explanation:

it will help you

Multiply (-2-i)(4+I)

Answers

Answer:

Step-by-step explanation:

(-2-i)(4+I)

= (-8-2i-4i-l)

thats it basically since there are two unknowns so it cant be simplified further

what is the equation of the line that is perpendicular to y=-1/4x-2 and goes through the point (-2,-3)

Answers

Step-by-step explanation:

y=-1/4x-2

1/4x+y+2=0.........1

line perpendicular to eqn 1 is

x-1/4y+k=0

as the line passes through the (-2,-3)

-2-1/4×-3+k=0

-1+4k=0

K=1/4

the eqn is 4x-y+1=0

whay are the fourth and fifth number on the sequence 1,4,27.?..,..?..46656

Answers

Answer:

256, 3125

Step-by-step explanation:

This may be the sequence n^n:  1^1, 2^2, 3^3, 4^4, 5^5, 6^6, ...

Let's check with the numbers we see:

1^1 = 1

2^2 = 4

3^3 = 27

6^6 = 46656

Yes, this is the sequence n^n.

The 4th term is:

4^4 = 256

The 5th term is:

5^5 = 3125

Work out the length x. 14cm, 7cm , right angle triangle

Answers

The given triangle is a right angled triangle. So we can use the pythagorean theorem to solve this.

Hypotenuse = 14 cm

Altitude = 7 cm

Base = x cm

Using pythagorean theorem,

Hypotenuse² = Base² + Altitude²

14² = x² + 7²

14² - 7² = x²

196 - 49 = x²

147 = x²

√147 = x

12.124 = x (approx.)

_________

Hope it helps ⚜

HELP ME OUT PLEASE

Use the data to create a scatter plot. ​

Answers

Follow the table in this order: everything on the left side of the table is the x axis value so if it is 2 find 2 on the horizontal line. Everything on the right side of the table is the y axis value so after you find where to go on the x go up from that spot to find where those two points meet. It may help if you are just starting to draw a line and find out where points meet but that will be time consuming and messy. Just remember what order you place coordinates and remember to read the labels on the graph. Hope that helped more :)

Answer: The scatterplot is shown below.

Explanation:

Each row in the table represents a different (x,y) point.

For example, the first row says that x = 2 and y = 1. We'll have a point at (2,1) on the graph. This means we start at the lower left corner which is the origin. Then we move 2 units to the right and 1 unit up to arrive at (2,1). The other rows are handled in a similar manner to get what you see below. The points are not connected with any line or curve. The labeling of A,B,C, etc is optional. I did it to help keep track of all the points in the table.

1 + 1? (just for fun!)

Answers

Answer:

equal 11

Step-by-step explanation:

:>

hmmm wonder what else it would be

work out the value of x trigonometry

Answers

Check the picture below.

The manager of a children's puppet theatre has determined that the number of adult
tickets he sells for a Saturday afternoon show is a random variable with a mean of 28.3
tickets and a standard deviation of 5.3 tickets. The mean number of children's tickets he
sells is 42.5, with a standard deviation of 8.1.
(a) The adult tickets sell for $10. Let A = the money he collects from adult tickets on a
random Saturday. What are the mean and standard deviation of A?

Answers

Applying statistical concepts of multiplication of a variable by a constant, it is found that the mean of A is of $283, while the standard deviation is of $53.

When a constant is multiplied to each data in a variable:  

The mean is multiplied by this constant. The standard deviation is multiplied by this constant.

In this question, the variable has mean 28.3 and standard deviation of 5.3, and is multiplied by 10, hence:

[tex]28.3(10) = 283[/tex]

[tex]5.3(10) = 53[/tex]

The mean of A is of $283, while the standard deviation is of $53.

A similar problem is given at https://brainly.com/question/25639778

what is it called when a constant and variable are combined (math)​

Answers

Answer:

a 'term'

Step-by-step explanation:

3r means the constant 3 multiplied by the variable 'r'

What is the temperature change between the greatest value and the least value?
-25°F, 5°F, 60°F, -45°F, -10°F, 90°F
WILL BR MARKED BEST

Answers

The temperature change between the highest and lowest.
Highest- 90 degrees
Lowest- -45 degrees

-45 to 0 = 45 units
0 to 90 = 90 units
45+90 units = 130

ANSWER 130

Every weekday the nursery buys enough milk for 37 children to have 250ml of milk each. An additional two pints per day is bought for the staff.

The milk comes in 4-pint cartons. The price of a carton of milk has increased by 10p.

How much more will the nursery pay for milk each week?

1 litre = 1.76 pints

Answers

Answer:

238.5p or 2.385 pounds per week

Answer: Please ignore the other answers.

Step-by-step explanation:

We stopped using half-pennies in the UK over 50 years ago.

I'm a tutor on the course this is on and I am sick of learners copying this incorrect answer.

so i have 1,521,588 poker chips how much do i need to get 2 million (poker chips on a game called pokerstars vr)

Answers

Answer: 478,412

Step-by-step explanation:

In order to do this just take 2 million and subtract the number of chips you wanted to take away. For example, it'd be 2,000,00 - 1,521,588 which leaves you with 478,412.

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