if a parabola is horizontally translated 15 units left, stretch by a factor of 20, vertically translated down 30 units and reflected in the x axis determine the equation of the parabola in vertex form

Answers

Answer 1
your normal parabola is y=x^2 but with translations you get the form y=a(x-h)^2+k. it is horizontally shifted by 15 so h=15, the stretch factor is 20 so a=20, it is translated down by 30 so k=-30, and it is reflected in the x axis so a is negative. your answer is y=-20(x-15)^2-30. DONT OPEN ANY SKETCHY LINKS!!!
Answer 2

Answer:

y' = a(x'- ((h-15)/20))² + -(k-30)

Step-by-step explanation:

Vertex: (h,k)

horizontally translated 15 units left: (h-15 , k)

stretch by a factor of 20: ((h-15)/20 , k)

vertically translated down 30 units: ((h-15)/20 , k-30)

reflected in the x axis: ((h-15)/20 , -(k-30))

Vertex' (h' , k'): ((h-15)/20 , -(k-30))

Equation: y' = a(x'-h')² + k'

y' = a(x'- ((h-15)/20))² + -(k-30)


Related Questions

7,469.25 to the nearest cent

Answers

It already is to the nearest cent. 25 cents.

Answer:

0

Step-by-step explanation:

If a train goes 20 km east then it turns and travels 43 km north then it goes 20 km west then travels south in an unknown number of kilometers and at the end there back in the original location how far did the train travel south

Answers

Answer:

Answer is 43 km.

Step-by-step explanation:

Let's draw diagram to solve the problem.

Determine the value of x (Different math problem)

Answers

Answer:

X=11

Step-by-step explanation:

5x+9+4x+5+7x-10=180°

5x+4x+7x+9+5-10=180°

16x+4=180°

16x=180°-4°

16x=176

X=11

2. Mr. Hoffman has a circular chicken coup with a radius of 2.5 feet. He wants to put a chain link fence around the coup to protect the chickens. Which measurement is closest to the length of fence he will need?

Answers

Answer: 15.7ft

Step-by-step explanation:

Answer:

15.7 ft

Step-by-step explanation:

took the test

A scientist illegally introduces new species of honey bees in their labs. The growth of the population of this new species is modeled by the equation below, where x is the time in weeks following the introduction of the species. If the lab contains 450 bacteria after 2 weeks, how many bacteria did the scientist initially create?

A,30
b.40
c.50
d.60

Answers

The answer A because 2 weeks equal 14 days and so you divide 14 by 450 and get 30

(2+h)^4 is equal to what​

Answers

Answer:

16+32h+24h²+8h³+[tex]h^{4}[/tex]

Step-by-step explanation:

anyone help with this?

Answers

its answer choice a

Find the value of the variables

Answers

Answer:

Step-by-step explanation:

[tex]\text{Since there are two 45 degree angles.}\\ \\ a=4\sqrt{2}\\ \\ \text{By the Pythagorean Theorem }c^2=a^2+b^2,\text{ and in this case a=b so }\\ \\ c^2=2(4\sqrt{2})^2\\ \\ c^2=2(16)2\\ \\ c^2=64\| \\ c=\sqrt{64}\\ \\ c=8[/tex]

Michèle is buying carpet for a room with the dimensions shown

Answers

There is no picture shown I think its not there
But where is the picture?

(18x 5 + 6x 4 - 12x 3) ÷ 6x 2

Answers

your answer would be 26.
if u want reasoning just ask!
If I am reading this correctly but I might not because those could be x’s not times. If you follow PEMDAS(please excuse my dear aunt sally helps you remember) you start with parentheses then move to exponents then do you multiplication and Divison and addition and subtraction. So (18 x 5 + 6 x 4 - 12 x 3) you start there 18 x 5 is 90, 6 x 4 is 24, 12 x 3 is 36 so then add 90 +24 which is 114 and then minus 36 from 114. Which is 78. After all that go to 6 x 2 which is 12 from there you would have 78 divided by 12 which equals 6.5. Hopefully that helps but since I could tell if the they were x’s or times.

Can someone help with numbers 1 and 2 for both of them tell me the answer and how you get it

Answers

Answer:

Here a = 20,, b= 8

Step-by-step explanation:

Using Pythagoras theorem,

a^2 + 15^2 = 25^2 ,, b^2 + 6^2 =10^2=100

Answer:

a = 20, b = 8

Step-by-step explanation:

Using Pythagoras' identity

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

(1)

a² + 15² = 25²

a² + 225 = 625 ( subtract 225 from both sides )

a² = 400 ( take the square root of both sides )

a = [tex]\sqrt{400}[/tex] = 20

(2)

b² + 6² = 10²

b² + 36 = 100 ( subtract 36 from both sides )

b² = 64 ( take the square root of both sides )

b = [tex]\sqrt{64}[/tex] = 8

HELP ME PLEASE!!,I WILL GIVE BRAINLIEST!!I PROMISE:)!!

Answers

Answer: C

The denominator is just the number on the bottom. In this case its [tex]2\sqrt{2}[/tex]

6)a garden was square, but last year she made it makes or shortening one side 5 meters and the other 8 meters. If the area of the smaller garden is 180 m², then what was the area of her square garden​

Answers

Answer:

let dimention of original garden be x

then (x-8)(x-5) = 180

x^2 -13x -140 = 0

(x-20)(x+7)=0

x= 20 or x = -7

x = 20

original area = (20)^2

= 400 m^2

Find the surface area of the triangular prism shown below.

Answers

Answer:

the surface area is 544 square units

Step-by-step explanation:

the tringles first

12 x 8 = 96

base

12 x 14 = 168

sides

10 x 14 x 2 = 280

96 + 168 + 280

im going to break it down

000 + 100 + 200 = 300

90 + 60 + 80 = 230

6 + 8 + 0 = 14

300 + 230 = 530

530 + 14 = 544

The surface area of the triangular prism is equivalent to 330 units square.

What is a triangular prism?

A triangular prism is a 3D shape with two identical faces in the shape of a triangle connected by three rectangular faces.

Given is a triangular prism as shown in the image.

We can calculate the surface area of the triangular prism as follows -

A{P} = {2 x A(T)} + {2 x A(R)} + A{B}

A{P} = {2 x 1/2 x 12 x 8} + {2 x 14 x 10} + {14 x 12}

A{P} = 12 x 8 + 2 x 140 + 14 x 12

A[P} = 4{3 x 2} + 2(7 + 6) + 280

A[P} = 24 + 26 + 280

A{P} = 330 units square

Therefore, the surface area of the triangular prism is equivalent to 330 units square.

To solve more questions on prisms, visit the link below -

https://brainly.com/question/11336446

#SPJ2

NEED HELP ASAP WILL GIVE BRAINLY

Answers

Answer:

The third one

Step-by-step explanation:

4 x 14.4^3 x pi

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

         3

Ben wants to have his birthday at the bowling alley with a few of his friends, but he can spend no more than $80. The bowling alley charges a flat feeof $45 for a private party and $5.50 per person for shoe rentals and unlimited bowling. Write an inequality that represents the total cost of Ben’s birthday for p people given his budget.

Answers

Answer:

45+5.50p=80

Step-by-step explanation:

45 is the flat fee and 5.50 is the shoe rental and unlimited bowling, so p is next to that because its 5.50 PER person so if ben had 2 people it would be 5.50 times 2 plus 45. But remember it cannot be over 80. please mark brainliest

The radius of the base of a right circular cone is 6 yards, and its slant height is 12 yards. If the radius and the slant height are each multiplied by 4, by what factor is the surface area multiplied?
A. 4
B. 8
C. 16
D. 24

Answers

The answer in this problem that you just have us is C

Answer:

the correct answer is C

Step-by-step explanation:

i took the test

A puppy weighs 4 pounds. Six months later, the puppy weighs 22 pounds. What is the average weight per month?

Answers

Answer:

3 pounds per month

Step-by-step explanation:

22-4 = 18

18/6=3

The table shows the balance of two accounts each year for four years. Determine whether each balance is linear or nonlinear. Then predict which account will have a greater balance in Year 3.

Year, t Account A Balance Account B Balance
0 $450 $550
1 $504 $570
2 $564.48 $590

Account A Balance is linear. Account B Balance is nonlinear. Account A will have a greater balance in Year 3.

Account A Balance is nonlinear. Account B Balance is linear. Account A will have a greater balance in Year 3.

Account A Balance is linear. Account B Balance is nonlinear. Account B will have a greater balance in Year 3.

Account A Balance is nonlinear. Account B Balance is linear. Account B will have a greater balance in Year 3.

Answers

Account A Balance is nonlinear. Account B Balance is linear. Account A will have a greater balance in Year 3. Then the correct option is B.

What is the slope?

The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

The slope for account A is calculated as,

m = (504 - 450) / (1 - 0) = (564 - 504) / (2 - 1)

54 ≠ 60

Account A is non-linear. The amount after 3 years will be more than $620 ($564 + $60).

The slope for account B is calculated as,

m = (570 - 550) / (1 - 0) = (590 - 570) / (2 - 1)

20 = 20

Account A is linear. The amount after 3 years will be $610 ($590 + $20).

More about the slope link is given below.

https://brainly.com/question/3605446

#SPJ2

Which expressions are equivalent to 7x - 14? Check all that apply.
A: 14 - 7x
B: x - 2
C: -(14 - 7x)
D: 7(x - 2)
E: 3x - 14 + 4x
F: 2x - 10 + 5x + 4

Answers

Answer:

c

d

e

Step-by-step explanation:

Amy needs to order a shade for a triangular-shaped window that has a base of 6 feet and a height of 8 feet. What is the area of the shade?


The area of the shade is
ft2.
Amy needs to order a shade for a triangular-shaped window that has a base of 6 feet and a height of 8 feet. What is the area of the shade?


The area of the shade is
ft2.

Answers

Answer:

24ft.

Step-by-step explanation:

Formula: (LxW)/2

6x8=48

48/2=24

answer; 24

HELP PLS :(

At a closed landfill, trash is decaying at a rate of 50% every 15 years.

Which type of function best models the amount of
trash that is remaining after x years?

linear
exponential
quadratic
cubic

Answers

Answer:

I believe it's linear

Step-by-step explanation:

don't quote me on that tho

One point on a line is (4, 6). The slope of the line is 3/4. Choose all of the following that could be another point on the line.
a. (0, 3)
b. (-8, -3)
c. (0, -3)
d. (-8, -1)
e. (12, 12)

Answers

The answer is d. I believe it was for mine

637m as a fraction of 7.7km

Answers

Answer:

637/7700

Step-by-step explanation:

7.7 km = 7700 m

Calculate the distance the train will travel in 3/4 hour.

Answers

Answer:

what is the speed of the train? if that is miles per hour just figure out what 75% is of that number

Step-by-step explanation:

can u solve this with the work ?

Answers

Answer:

just search up Mathaway in your browser you will get your answer and a step by step explanation!

Step-by-step explanation:

Answer:

156

Step-by-step explanation:

Help plz im doing homework!!!!!

Answers

The answer is 23/36 I think

please help!! will mark brainliest

What is the area of a circle whose radius is 54 feet?

The area is ___ ∏ ft²

Answers

Answer:

2916 pi ft

Step-by-step explanation:

Area of a circle: pi r ^2

54^2 = 2916

Hope this helps!

soylindo del 1 al 10​

Answers

Answer:

6.5

Step-by-step explanation:

Please help me
If you move 5 meters south and then move 2 meters north what is the distance and displacement

Answers

Answer:

10

Step-by-step explanation:

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