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

[tex]y = x^{3} + 2[/tex]

[tex]y = g(x) + c[/tex]

Here,  [tex]g(x) = x^{3}[/tex] and [tex]c = 2[/tex], the parent function is [tex]g(x)[/tex]. Because [tex]c > 0[/tex], the graph undergoes a vertical shift 2 units up along the y-axis.

Answer 2

1) The cubic function is [tex]x^3+1[/tex] and the parent function is [tex]x^3[/tex].

2) The transformation from parent function to function is vertical stretch.

A cubic function is a polynomial function of degree 3. So the graph of a cube function may have a maximum of 3 roots. i.e., it may intersect the x-axis at a maximum of 3 points.

The general form of the cubic function is [tex]ax^3+bx^2+cx+d=0[/tex], where a, b, c and d are real numbers.

Let the cubic function be [tex]x^3+1[/tex] and the parent function be [tex]x^3[/tex].

To find the transformation, compare the function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis and if there is a vertical strech.

Horizontal shift: None

Vertical shift: Up 1 units

Reflection about the x-axis: None

Reflection about the y-axis: None

Vertical Compression or Stretch: None

Therefore,

1) The cubic function is [tex]x^3+1[/tex] and the parent function is [tex]x^3[/tex].

2) The transformation from parent function to function is vertical stretch.

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PLEASE HELPCreate A Cubic Function That Is Not The Parent Function. Explain How To Graph Your Cubic Function

Related Questions

y=7x+7 convert in standard form

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Answer:

y/7=x+1

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2. What is the largest composite number less than 40?

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Answer:

39

Step-by-step explanation:

39

Step-by-step explanation:

13 × 3 = 39

The largest composite number less than 40 is 39

What is the measurement of the angle shown below? ​

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Answer:

The correct answer is (c) 30°

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Someone pleases answer!

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Answer:

Both are 65 degrees

Step-by-step explanation:

because you have parrallel lines, 2 would be the same as 65

Because 1 is on the opposite of 2, it would be the same

what does (-x)+(-x)+(-x)=

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Answer: -3x

Step-by-step explanation:

(-x)+(-x)=-2x

-2x+(-x)=-3x


What are the odds of not rolling a three on a standard six-sided die?

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Answer:

5/6

Step-by-step explanation:

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Answer:

5/6

Step-by-step explanation:

what ordered pair is a solution of 3x - y = 13

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Answer:

x=6,. y=5. is the answer

Evaluate 4x squared - 8x + 8 when x = -6

Answers

Answer:

44

Step-by-step explanation:

√4×-6+8×6+8=2×-6+48+8

-12+48+8

=48

Hey there!

4x^2 - 8x + 8

= 4(-6)^2 - 8(-6) + 8

= 4(6)(6) - 8(-6) + 8

= 4(36) - (-48) + 8

= 144 - (-48) + 8

= 144 + 48 + 8

= 192 + 8

= 200

Therefore, your answer is: 200

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

what is the slope and the y intercept of y= -9x + 15

Answers

Answer:

Step-by-step explanation:

the slope for y = -9x + 15

Slope: -9

y-intercept: y= -9(0) + 15 = 0 + 15 = 15

(0, 15)

Answer:

-9

(0, 15)

Step-by-step explanation:

y = mx + c

y = -9x + 15

so m = -9

y intercept is when x = 0

c = 15

(0, 15)

how would is solve this?
Find the area of the shaded region. Round your answer to the nearest hundredth.

Answers

it will be 36

Step-by-step explanation:

fgdsb b zgffhxgv

Can someone help me on this? Thanks!

Answers

Answer:

it's the graph c

Step-by-step explanation:

(0, -2)

(1, 0)

(2, 2)

Elli left home8:30 and returned at 1:25how long was she away from home?














Answers

Answer:

3 hours and 45 minutes assuming its from am to pm

Step-by-step explanation:

Hope This Helps

4 hours and 55 Minutes

(3[tex]x^{2}[/tex]+[tex]y^{2}[/tex])Y+([tex]y^{2}[/tex]-[tex]x^{2}[/tex])x×[tex]\frac{dy}{dx}[/tex]=0

Answers

It looks like the given differential equation is

(3x² + y²) y + (y² - x²) x dy/dx = 0

Multiply both sides by 1/x³ to get

(3 + y²/x²) y/x + (y²/x² - 1) dy/dx = 0

(Note that in order to do this, we must have x ≠ 0, which means that if a solution exists, it would have to be on either (-∞, 0) or (0, ∞).)

Now substitute z = y/x, or y = xz, from which we get dy/dx = x dz/dx + z. Making this replacement and simplifying yields a separable equation:

(3 + z²) z + (z² - 1) (x dz/dx + z) = 0

(3 + z²) z + (z² - 1) x dz/dx + (z² - 1) z = 0

(z² - 1) x dz/dx = -(2z³ + 2z)

x dz/dx = (2z³ + 2z)/(1 - z²)

(1 - z²)/(2z (z² + 1)) dz = dx/x

Integrate both sides. On the left, split up the expression into partial fractions.

[tex]\dfrac{1-z^2}{z(z^2+1)} = \dfrac az + \dfrac{bz+c}{z^2+1}[/tex]

[tex]\dfrac{1-z^2}{z(z^2+1)} = \dfrac{a(z^2+1)+(bz+c)z}{z(z^2+1)}[/tex]

[tex]1-z^2 = (a+b)z^2 + cz + a[/tex]

for which we find a = 1, b = -2, and c = 0:

[tex]\dfrac{1-z^2}{2z(z^2+1)} = \dfrac12 \left( \dfrac1z - \dfrac{2z}{z^2+1} \right)[/tex]

Integrating and simplifying yields

1/2 ∫ (1/z - 2z/(z² + 1)) dz = ∫ dx/x

1/2 (ln|z| - ln(z² + 1)) = ln|x| + C

1/2 ln|z / (z² + 1)| = ln|x| + C

ln(√(z/(z² + 1))) = ln|x| + C

exp[ln(√(z/(z² + 1)))] = exp[ln|x| + C]

√(z/(z² + 1)) = exp[ln|x|] exp[C]

√(z/(z² + 1)) = Cx

z/(z² + 1) = Cx²

Replacing z = y/x then gives us an implicit solution of

(y/x) / (y²/x² + 1) = Cx²

xy / (y² + x²) = Cx²

y / (y² + x²) = Cx

y = Cx (y² + x²)

Cxy² - y + Cx³ = 0

though we can solve for y explicitly (assuming x > 0) using the quadratic formula to end up with

y = (1 + √(1 - Cx⁴))/(Cx)

(the other solution only differs by the sign on the square root)

Find the derivative of the function y = ln(3t+4)

Answers

Answer:

3 / (3t+4) is the answer

The area under the graph line
made with the x-axis represents
the change in position of the
object on a velocity versus time
graph. (5 points)

Answers

The statement is true: the area under the graph line made with the x-axis

represents the change in position of the object on a velocity versus time

graph.

Reasons:

[tex]\displaystyle Velocity = \frac{Dislacement}{Time}[/tex]

The area under the velocity time graph is given by the integration of the function for the velocity over the time interval.

A constant velocity is an horizontal line and the integration of a constant with time, gives the product of time and the constant, which is area under the rectangular graph.

Therefore, the area under the graph line made with the x-axis represents the change in position of the object on a velocity versus time graph.

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Answer: True

Step-by-step explanation:

solve the equation 3/4x - 5 = x give your answers correct to 2 decimal places

Answers

Answer:

3/4x - 5 = x

= -3/10 -> -0.15

2 Decimal places = 0.150

Quick Computing installed its previous generation of computer chip manufacturing equipment 3 years ago. Some of that older equipment will become unnecessary when the company goes into production of its new product. The obsolete equipment, which originally cost $40 million, has been depreciated straight-line over an assumed tax life of 5 years, but it can be sold now for $18 million. The firm’s tax rate is 35%. What is the after-tax cash flow from the sale of the equipment?

Answers

The company's after-tax cash flow is a measure of the company's cash

generation ability.

The after-tax cash flow from the sale of the equipment is $16.1 million

Reasons:

The given parameter are;

Original cost of the equipment = $40 million

The type of depreciation = Straight line depreciation

Number of years of depreciation = 5 years

Current price at which it can be sold = $18 million

The tax rate of the firm = 35%

Required:

The after-tax cash flow from the sale of the equipment.

Solution:

The Cash Flow After Tax, CFAT, is given as follows;

CFAT = Net income + Amortization  + Depreciation  + Other non-Cash Cash Charges

The annual depreciation is given as follows;

[tex]Annual \ depreciation = \dfrac{\$40 \ million - \$18 \ million}{5 \ years} = \$4.4 \ million \ per \ year[/tex]

Selling the equipment gives;

The Earnings Before Tax (EBT) = $18 million

The Net Income = Income - Tax = $18 million - (35% × $18 million)

The Net Income = $11.7 million

Cash Flow After Tax CFAT = Net income + Depreciation

∴ CFAT = $11.7 million + $4.4 million = $16.1 million

The after-tax cash flow = $16.1 million

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Please take a look at the picture

Answers

Answer:

A) -3/-11

Step-by-step explanation:

-3/-11-3/11

-3/-11

Reduce the fraction with -1.

3/11

Hope this help :)

i really need help on my question!

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Answer:

your answer is C

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

It is asking how many people have MORE than two fish. Not two fish.

15 + 3 + 2 = 20

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Answer:

Mixed number: 5(1/10)

Improper fraction: (51/10)

Step-by-step explanation:

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Answer:

Mixed number: 5 1/10 and improper fraction: 52/10

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4-1/10

Step-by-step explanation:

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How long is a distance of 8 km if measured on a map with a scale of 1:50,000?

Answers

Answer: 400,00 km

Step-by-step explanation: 1:50,000 = 8:x

8 * 50,000 = 400,000

So, 8km on the map is 400,000 km in real life.

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‏The result of a division problem is the a ) divisor . b ) quotient . c ) factor . d ) remainder .

Answers

Answer:

b) quotient

Step-by-step explanation:

divisor is the number/value you are dividing with.

A remainder is a number that remains after you divide.

A factor is a number that can divide into a number or numbers without leaving a remainder

what is the slope will mark brainlist

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The equation of slope is y2 - y1/x2 - x1

0 - 4/0 - 5

-4/5

Another method in image added.

select all the ways you can describe the given polygon

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Answer:

Isoceles and obtuse

Step-by-step explanation:

Mr. Morgan's ice cream shop made $1,380 last weekend selling $2 scoops of ice cream. If he sells 100 more scoops this weekend, about how many scoops will he sell?

Answers

Answer:

1580$

Step-by-step explanation:

PLEASE HELP I will mark you BRAINLIST

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Answer:

Angle B: 180-135=45° - supplementary angle rule

Angle C: 180-45-70=65° - sum of interior angles of triangle is 180

Angle D= Angle B : 45° - Alternate interior angles

Angel E=Angle A: 70° - Alternate interior angle.

Angle F: 180-Angle E(70) = 110° - supplementary angle rule

Step-by-step explanation:

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

If a submarine dives 378 feet in 14 seconds, the average change in elevation is feet per second.

Answers

Answer:

27 feet per second.

Step-by-step explanation:

You already have your time unit in second and length measurement in feet so just divide the two 378/14=27 feet per second.

Answer:

-27 feet per second

Step-by-step explanation:

378 ÷ 14 = 27

because the submarine is going down, the sign has to be negative

5. Mohan and Sohan have the same storybook. Mohan has read 2/5 of the book and Sohan has read 2/7 of the book. Who has read more pages? 6. Sonali and Priya are classmates Sonali completed her homework in a of an hour and Priya in of an hour 3/4 . Who was faster?

Answers

#5

Mohan read =2/5Sohan read=2/7

Compare

[tex]\\ \sf\longmapsto \dfrac{2}{5}>\dfrac{2}{7}[/tex]

Mohan read more pages.

#6

Sonali completed in=1/2Priya completed in=3/4

[tex]\\ \sf\longmapsto \dfrac{1}{2}=\dfrac{2}{4}[/tex]

Compare

[tex]\\ \sf\longmapsto \dfrac{2}{4}<\dfrac{3}{4}[/tex]

Sonali was faster

a pyramid whose altitude is 5ft weighs 800lbs. at what distance from its vertex must it be cut by a plane parallel to its base so that the two solids of equal weight will be formed?

Answers

A structure which has a square base and four triangular sides meeting at a point is called pyramid.

At distance of 3.97 feet from its vertex , pyramid is cut by plane  so that the two solids of equal weight will be formed.

It is assumed that weight of pyramid is proportional to its volume.

So,   [tex]w = k V[/tex] , where V is volume of original pyramid and v is volume of small pyramid and k is constant.

Let us consider that at h  distance,  pyramid is cut from its vertex. So a small pyramid is also formed.

Assume that base area of original pyramid is A and base of small pyramid is a.

Volume of original pyramid is,   [tex]V= \frac{1}{3} *A* 5[/tex]

So, weight of original pyramid,  [tex]W = k *(\frac{1}{3} *A* 5) = 800[/tex]

Volume of small pyramid is,  [tex]v = \frac{1}{3}* a* h[/tex]

So, weight of small pyramid, [tex]w = k*(\frac{1}{3}* a* h)=400[/tex]

Since, base and height of small pyramid and original pyramid are in proportion.

So,  [tex]\frac{a}{A} = (\frac{h}{5}) ^{2}[/tex]

       [tex]a = (\frac{h}{5} )^{2}A[/tex]

Substituting value of a in  equation [tex]k*(\frac{1}{3}* a* h)=400[/tex]

So, [tex]k*(\frac{1}{3}* \frac{h^{2} }{25}A * h)=400[/tex]

       [tex](k*\frac{1}{3}* A*5)*\frac{1}{5} *\frac{h^{2} }{25} * h)=400[/tex]

Since, [tex](k *\frac{1}{3} *A* 5) = 800[/tex], substitute in above equation.

    So, [tex]800*\frac{h^{3} }{125}=400\\\\h^{3}=\frac{125}{2}\\\\h=\sqrt[\frac{1}{3} ]{62.5}\\\\h=3.97 feet[/tex]

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