What type of transformation occurred if the quadratic parent function becomes y = 3x² + 9

Horizontal compression, vertical up

Vertical stretch, vertical up

Horizontal stretch, vertical down

Vertical compression, vertical down

Answers

Answer 1

Answer:

Horizontal compression, vertical up

Step-by-step explanation:

The 3 compresses the parent function

The 9 moves it up 9 Spaces

Answer 2

Answer:

Horizontal compression, vertical up . . . or ...Vertical stretch, vertical up

Step-by-step explanation:

The transformation to the parent quadratic function can be described either of two ways. For a quadratic, a vertical stretch can also be accomplished by a horizontal compression.

The transformations of interest here are ...

  g(x) = a·f(x) . . . . vertical stretch by a factor of 'a'

  g(x) = f(a·x) . . . . horizontal compression by a factor of 'a'

  g(x) = f(x) +a . . . . vertical translation by 'a' units

__

It is easy to see that the parent function f(x) = x^2 has had 9 added to it, so the function has been translated upward 9 units.

The transformation to 3x^2 can be accomplished either of two ways:

  3x^2 = 3(x^2) . . . vertical stretch by a factor of 3

  3x^2 = (x√3)^2 . . . . horizontal compression by a factor of √3

The attached graph shows either a horizontal compression or a vertical stretch will result in the same graph.

__

Additional comment

In the interest of using rational scale factors, we prefer the "vertical stretch, vertical up" description.

What Type Of Transformation Occurred If The Quadratic Parent Function Becomes Y = 3x + 9 Horizontal Compression,

Related Questions

Dan pays £714. 73 a year on his car insurance. The insurance company reduces the price by 4. 1%. How much does the insurance cost now?Give your answer rounded to 2 DP

Answers

Answer:

[tex] \frac{4.1}{100} \times 714.73 = 29.30 \\ 714.73 - 29.30 = 685.43[/tex]

divide 4.1 with 100percent because per5 is always over 100 them multiply by the amount given

Step-by-step explanation:

subtract 29.30 from 714.30

subtract calculated amount from amount given

get yr final answer

Please solve this in subtraction method

Will give brainliest!!

Answers

Answer:

x= 0 and y=1

Step-by-step explanation:

1st multiply the first equation by 3

3 (3x-2y=2)

9x-6y=6

multiply the next equation by 2

2 (5x-3y=3)

10x-6y=6

subtract equation 1 from 2

(10x-6y)-(9x-6y)=6-6

10x-9x-6y+6y=0

x=0

put X in equation 1

3 (0)-2y=2

-2y=2

y=-1

so X and y are 0 and -1 respectively

Please help, I’ll mark your answer as brainliest.

Answers

Already answered here: https://brainly.com/question/26919792

Write a function rule for the table. (b is incorrect so please choose one of the other 3 answers.)

Answers

Answer: D

Step-by-step explanation: payment equals to money earned per hour (p=6.25h).

The sum of 4/5 and 1/10 is closer to 1/2 than to 1

Answers

False. The sum would be 9/10 which is closer to 1


Determine the area and perimeter and show your work please??

Answers

I don’t know I am sorry

A cylinder has a height of 20 centimeters and a radius of 11 centimeters. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

7598.8 [tex]cm^{2}[/tex]

Step-by-step explanation:

v (volume) = π[tex]r^{2}[/tex]h

v = 3.14 x [tex]11^{2}[/tex] x 20

v = 3.14 x 121 x 20

v = 7598.8

Answer:

7598.8 cm³

Step-by-step explanation:

Given :-

height = 20 cm

radius = 11 cm

value of π = 3.14

Formula to be used :-

Volume of cylinder = πr²h

Inputting the values :-

V = 3.14 x 11 x 11 x 20

= 3.14 x 121 x 20

= 3.14 x 2420

= 7598.8 cm³

Find P(C|Y) from the information in the table. A 5-column table has 4 rows. The first column has entries A, B, C, Total. The second column is labeled X with entries 32, 6, 18, 56. The third column is labeled Y with entries 10, 5, 15, 30. The fourth column is labeled Z with entries 28, 25, 7, 60. The fifth column is labeled Total with entries 70, 36, 40, 146. To the nearest tenth, what is the value of P(C|Y)? 0. 4 0. 5 0. 7 0. 8.

Answers

The probability is the ratio of the favorable event to the total number of events. The P(C|Y) is 0.5. Then the correct option is B.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.

According to the problem, the table is made

                          X               Y               Z               Total

  A                    32              10             28                 70

  B                     6                5              25                 36

  C                    18               15              7                   40

Total                 56              30             60                146

Then the probability of will be

[tex]\rm P(C|Y) = \dfrac{15}{30}\\\\P(C|Y) = 0.5[/tex]

The P(C|Y) is 0.5. Then the correct option is B.

More about the probability link is given below.

https://brainly.com/question/795909

What is the sum of 547+31321? Enter your answer in the box as a mixed number in simplest form.

Answers

The answer would be 31,895

The sum of twice a number and 5 is 21. What is the number?

Answers

Hello.

First, "twice a number" means we multiply 2 times that number.

Let the number be s.

Now, the sum of 2 times s and 5 is 21.

The product of 2 and s can be written like so:

[tex]\sf{2s[/tex]

Now, the sum of 2s and 5 is 21:

[tex]\sf{2s+5=21[/tex]

Subtract 5 from both sides:

[tex]\sf{2s=21-5[/tex]

[tex]\sf{2s=16}[/tex]

Now, divide both sides by 2:

[tex]\Large\boxed{\sf{s=8}}[/tex]

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

x = 8

Step-by-step explanation:

Let the required number be x.

According to the given question,

=> 2x + 5 = 21

=> 2x = 21 - 5

=> 2x = 16

=> x = 16/2

=> x = 8

Hope it helps you!!

the sum of two numbers is ten one number is five times the other

Answers

Answer:

let the other number be x.

then,X+5=10

X =10-5

X=5

Step-by-step explanation:

Mila built a wooden toy bin with a lid to sell in her store. The bin is shaped like a rectangular prism and measures 2 feet long,1 foot wide,and 2 feet deep. To make the wood darker,she stained the outside of the toy bin including the top of the lid and the bottom of the bin. What is the area that mila stained?

Answers

The rectangular prism having a length of 1 feet, width of 2 feet and that

is 1 feet deep, gives the area Mila stained as 8 square feet.

How can the area that Mila stained be found?

The given dimensions of the rectangular prism bin are;

Length of the bin = 2 foot

Width of the bin = 1 feet

Depth of the bin = 2 feet

Required:

The surface area of the rectangular prism bin.

Solution:

The surface area, S. A., of the rectangular prism bin is given as follows;

S. A. = Length × Width + Depth × Width + Length × Depth

Which gives;

S. A. = 2 × 1 + 2 × 1 + 2 × 2 = 8

The surface of area Mila stained, S. A. = 8 ft.²

Learn more about surface area of a rectangular prism here:

https://brainly.com/question/987829

Sarah wants to swim across a 193 m river. Due to the current she is swept 67 m downriver from where she wanted to be. What is the length that she actually swam from start to where she ended? Round to the nearest tenth

Answers

Answer:

Step-by-step explanation:

Sarah swam the diagonal length of a right-angled triangle with sides of river width, 193m and how far she was swept downstream, 67m.

By Pythagorean Theorem, distance swam = sqrt(193^2+67^2)

= 204.3 m

Apply Pythagorean theorem

[tex]\\ \rm\rightarrowtail H^2=P^2+B^2[/tex]

[tex]\\ \rm\rightarrowtail H^2=193^2+67^2[/tex]

[tex]\\ \rm\rightarrowtail H^2=41738[/tex]

[tex]\\ \rm\rightarrowtail H=204ft[/tex](Approx)

Area of a circle. Please help!

Answers

Answer:

[tex]A = 50.24[/tex] Sq. M.

Step-by-step explanation:

Formula: [tex]A = \pi r^{2}[/tex]

[tex]A = \pi (4)^{2}[/tex]

[tex]A = 16\pi[/tex]

[tex]A = 16 (3.14)[/tex]

[tex]A = 50.24[/tex] Square Meters

600x + 200y = 500x solve for x

yes thats all i need.

Answers

Answer:

x = -2y

Step-by-step explanation:

Simplifying

600x + 200y = 500x

Solving

600x + 200y = 500x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-500x' to each side of the equation.

600x + -500x + 200y = 500x + -500x

Combine like terms: 600x + -500x = 100x

100x + 200y = 500x + -500x

Combine like terms: 500x + -500x = 0

100x + 200y = 0

Add '-200y' to each side of the equation.

100x + 200y + -200y = 0 + -200y

Combine like terms: 200y + -200y = 0

100x + 0 = 0 + -200y

100x = 0 + -200y

Remove the zero:

100x = -200y

Divide each side by '100'.

x = -2y

Simplifying

x = -2y

hope this helps!

ibrahim

35+34





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FINE, YOUR FUNERAL!











































































69

Answers

69 (x_x) (x_x) (x_x) (x_x) (x_x) (x_x) (x_x) (x_x) (x_x)

A teacher administers a standardized math test to his class of 75 students. The mean score (out of 300 possible points) is 235. From previous studies, you know the population standard deviation is 28.
a) Using the sample data given, calculate a 95% confidence interval for the population mean.
b) Based on this confidence interval would you agree that the true population mean is under 239? Explain. x=235

Answers

Answer: (228.7, 241.3)

Step-by-step explanation:

For the following system a) What is the value of x? b ) What is the value of y ?

Answers

Answer:

x = 12

y = -23

Step-by-step explanation:

to solve for this i think we have to do:

   y = -3x + 13

   -

   y = -2x + 1

-----------------------

   0 = -x + 12

-x = -12

x = 12

then i think.... i think you have to substitute to one of the equations

y = -3(12) + 13

y = -36 + 13

y = -23

then to check we substitute  to the second equation

-23 = -2(12) + 1 ?

-23 = -24 + 1?

-23 = -23

Expand: (7m2 + 2m)2.

Answers

Answer:

[tex]49m^{4} +28m^{3} +4m^{2}[/tex]  

Last Answer

Step-by-step explanation:

Answer:

[tex]49m {}^{4} + 28m {}^{3} + 4m {}^{2} [/tex]

explanation:

[tex]7m {}^{2} (7m {}^{2} + 2m) + 2m(7m {}^{2} + 2m) \\ \\ 49m {}^{4} + 14m {}^{3} + 14m {}^{3} + 4m {}^{2} \\ \\ 49m {}^{4} + 28m {}^{3} + 4m {}^{2} [/tex]l

]

Solve for x please!
No links or trolls.

Answers

Answer:

help me

Step-by-step explanation:

which choices are equivalent to the expression below √16 • √9

Answers

Answer:

12

Step-by-step explanation:

=> √16 • √9

=> Take square roots

=> 4 • 3

=> 12

Can the side lengths of 7, 10, and 9 form a triangle?

Answers

Answer: Yes a triangle can be formed.

========================================================

Explanation:

Add the first two sides to get 7+10 = 17 which is larger than the third side (9)Add the first and last sides to get 7+9 = 16 which is larger than the second side (10)Add the last two sides to get 10+9 = 19 which is larger than the first side (7)

As that list above shows, adding any two sides results in a sum larger than the third remaining side. The conditions of the triangle inequality theorem have been met to allow for a triangle to be formed.

In general the triangle inequality theorem is:

a+b > ca+c > bb+c > a

The order doesn't matter. All that's important is that all three conditions are met.

Find the geometric mean between 20 and 5

Answers

answer is a
Explanation 5/20

The answer is 10.

Step-by-step explanation:

I have the same question on some tests of mine

Will give Brainliest!!!!!

Determine the solution to the system of equations below. Explain your reasoning.

Answers

Determining the solution.

The solution(s) for the provided graph are (0, 6) and (6, 0)

What is a solution of a graph?

The solution of the system of equations is the intersection of the two equations.

Reasoning.

In the image provided, we can see two solutions (intersection points) that are intersected by a line and a circle.

Those two solutions are:

(0, 6) and (6, 0)

Math Questions about graph​

Answers

Answer:

  (i) gradient: 2/3

  (ii) equation: y -1 = 2/3(x +1)

  (iii) area: 10 square units

  (iv) length: 4.12 units

Step-by-step explanation:

The gradient of a line is found by using the slope formula with two points on the line. The length between points is found using the distance formula, which is based on the Pythagorean theorem. The equation of a line can be written in several forms. One is the point-slope form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

__

(i)

The points A and B can be used in the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (5 -1)/(5 -(-1)) = 4/6 = 2/3

The gradient of the line is 2/3.

__

(ii)

Using the found slope in the point-slope equation with point A, we find the equation of the line to be ...

  y -1 = 2/3(x +1)

__

(iii)

The area of a triangle is found from the formula ...

  A = 1/2bh . . . . . triangle with base b and height h

The base length will be the difference in x-coordinates of the horizontal segment AC: 4 -(-1) = 5.

The height will be the difference in y-coordinates from that horizontal segment and point B: 5 -1 = 4

Then the area of ABC is ...

  A = 1/2(5)(4) = 10 . . . . square units

The area of ΔABC is 10 square units.

__

(iv)

The length of BC is found from the distance formula:

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((5 -4)² +(5 -1)²) = √(1 +16) = √17

  d ≈ 4.12 . . . . units

The length of BC is about 4.12 units.

Tara has 4/5 kg of beads. She shares the beads evenly between 3 friends.

How many kilograms does each friend receive?

Answers

Answer:

[tex]\frac{4}{15}[/tex] kilograms

Step-by-step explanation:

  We will take the total amount of beads and divide it by 3, since there are 3 friends.

[tex]\frac{4}{5}[/tex] kg / 3

[tex]\frac{4}{5}[/tex] kg * [tex]\frac{1}{3}[/tex]

[tex]\frac{4*1}{5*3}[/tex]

[tex]\frac{4}{15}[/tex] kg

Each friend recieves [tex]\frac{4}{15}[/tex] kilograms of the beads.

Student Guide (continued)
1) Using the regression calculator in your tool bar, create a scatterplot using your data set from step
1. Insert a screenshot of your scatterplot, or recreate it below.
The photo shows the 10 students I chose please Help!

Answers

so the scatterplot will more or less look like the one in the picture below.

given that x=6 and y= -4
3x + x over y - y^2

Answers

Step-by-step explanation:

x=6

y=-4

3x+x / y-y^2

3(6)+6/-4-(-4)^2

24/-20

= -1.2

Two car rental companies have the following payment plans: Cart: $90 per week and 15c per kilometre Renta: $110 per week and 10c per kilometre What is the maximum whole number of kilometres that can be travelled in one week with Carz if it is to cost less than it would with Renta?​

Answers

Using linear function concepts, it is found that the maximum whole number of kilometres that can be travelled in one week with Carz if it is to cost less than it would with Renta is of 399.

What is a linear function?

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.

For each car, Cart and Renta, the linear functions are given by:

C(k) = 90 + 0.15k

R(k) = 110 + 0.1k

Cart will cost less than Renta if:

C(k) < R(k)

Hence:

90 + 0.15k < 110 + 0.5k

0.05k < 20

k < 400

Hence, the maximum whole number of kilometres that can be travelled in one week with Carz if it is to cost less than it would with Renta is of 399.

More can be learned about linear function concepts at https://brainly.com/question/24808124

London has a collection of 260 coins. How many coins represent 25% of her collection?

Answers

Answer:

65 coins

Step-by-step explanation:

Set this problem up with a porportion.

[tex]\frac{?}{260} \frac{25}{100}[/tex]

After that, cross multiple and divide.

25 times 260. Then divide by 100. That is then your answer.

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