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

$800 invested at 5.25% simple interest for 4 yrs.

Answers

Answer:

14 dollars.

Step-by-step explanation:

With annual interest rate, 5.25 interest rate is $14.00

Answer:

$968

Step-by-step explanation:

800 × 0.0525 × 4 = 168 (interest)

168 + 800 = 968 (total)

Pam's eye–level height is 256 feet above sea level and Adam's eye–level height is 400 feet above sea level. What expression shows how much farther Adam can see to the horizon? In simplest terms, Adam can see a√b feet farther than Pam.

Answers

Answer:

B

A=2

B=6

Step-by-step explanation:

The expression that shows how much farther Adam can see to the horizon should be considered as the d = 400 - 256 and d = 256 - 400.

Calculation of the expression:

Since

Pam's eye–level height is 256 feet above sea level and Adam's eye–level height is 400 feet above sea level.

So here the expression be like The expression that shows how much farther Adam can see to the horizon should be considered as the d = 400 - 256 and d = 256 - 400.

Learn more about an expression here: https://brainly.com/question/4700495

The triangles are congruent by SSS or HL.

Triangles M N Q and P Q N are connected at side Q N. Triangle M N Q is rotated about point N and then is shifted to the left to form triangle P Q N.

Which transformation(s) can map TriangleMNQ onto TrianglePQN?

translation only
reflection only
rotation, then reflection
rotation, then translation

Answers

Answer:

rotation, then translation

Step-by-step explanation:

The transformation that map triangle MNQ onto triangle PQN is rotation, then translation.

The given triangles;

Triangle MNQ Triangle PQN

A translation of a triangle occurs when the triangle shifts up, or down,  of left or right on the coordinate plane.

The reflection of a triangle occurs when the vertices of the triangle is flipped over the opposite side.

Since the triangle MNQ is rotated then shifted to the left to form the new triangle PQN, we can conclude that the transformation that map triangle MNQ onto triangle PQN is rotation, then translation.

Learn more about rotation and translation of triangles here: https://brainly.com/question/1616371

welppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

They are all acute triangles or iscoles triangles

Step-by-step explanation:

If anyone can help I would really appreciate it!

Answers

Answer: y= 2/5 * x - 6

Step-by-step explanation:

y intercept

y= 2/5 x+b putting in the point 5,4

y=2/5 5+ b

4=10+b

b= -6

The net of a rectangular prism is shown below. Each square represents 1 square unit.
What is the total surface area of the net shown?

Answers

Answer:

56 units²

Step-by-step explanation:

There are two bases of 3x4 and 4 sides of 2x4

Total surface area is:

2(3*4) +4(2*4) = 56 units²

The following triangle is equilaterial triangle. Solve for the unknown variable.

Answers

Answer:

d

Step-by-step explanation:

Since the triangle is equilateral then the 3 sides are congruent, then

2x = 6 ( divide both sides by 2 )

x = 3

and

3y = 6 ( divide both sides by 3 )

y = 2

Thus x = 3 and y = 2 → d

Pls help pls pls pls pls URGENT!!!!!!!!
PLS SOMEONEEEEE

Answers

female students that participate: 51
male students that don’t: 30

Answer:

1. 51

2. 30

Step-by-step explanation:

Find the product. Express your answer as a mixed number in simplest form.

2 1/6 × 4 1/2

Answers

Answer: 1 1/2, 3/2, or 1.5

Step-by-step explanation: Convert expression into unproper fractions, 13/6, and 9/2. Then by changing 13/6 into a denominator with 2, you multiply and it equals 1 1/2.

What is the vertex of the function h(x) = (x+ 6 + 3? O A. (-6,-3) O B. (-6,3) OC. (6,3) OD. (6,-3)​

Answers

Answer:

The vertex is ( -6, 3)

Step-by-step explanation:

h(x) = |x+ 6| + 3

Inside the absolute value is the h or the x coordinate of the vertex

Outside is the k or the y value of the vertex

It is in the form

h(x) = |x-h| + k  where (h,k) is the vertex

h(x) = |x - -6| + 3

The vertex is ( -6, 3)

Answer:

B. (-6, 3)

Step-by-step explanation:

Given function:

h(x) = |x + 6| + 3

This is the translation of f(x) = |x|,  6 units left and 3 units up

So the vertex is (-6, 3)

Correct choice is B

What is 1/12 divided by 36

Answers

Answer:

link to answer

https://visualfractions.com/calculator/divide-fractions/what-is-1-12-divided-by-36-36/

Answer:

This is 0.002 but I think you mean

36 divided by 1/12=

3

what is the greatest common multiple of 96,48,84

Answers

Answer: 12

Step-by-step explanation: 96-84=12

I dont really know how i did it I just did.

The price of a hot tub was marked down by $250. The original price of the hot tub was $3,600. What was the percentage rate of the discount (to the nearest
tenth of a percent)?
5.8% rate of discount
7.2% rate of discount
6.9% rate of discount
8.5% rate of discount
None of these choices are correct.
ОООО

Answers

Then what’s the point

6.9% discount

(6.9% of 3,600 is 248.40 but the question says to choose the closest answer)

100 POINTS, MAHNIFIA PLEASE ANSWER!
SCAMMERS WILL NOT BE TOLERATED!

Answers

Answer:

- 3.4(21) = - 71.4

(- 2.3)(- 7.9) = 18.17

9.24 ÷ - 7 = -1.32

(- 8.5) ÷ (- 3.4) = 2.5

- 6.85 ÷ 0.5 = - 13.7

I need help I'm confused

Answers

(4x+27) = (16x-21)
12x = 6
so x = 2
then you just add the 2 into where the x is placed

PLEASE ANSWER THIS ASAP I WILL MARK YOU THE BRAINLIEST

Answers

You just literally mark the graph, you see the 1st points (2,12) go on the X axis to 2, then go up to 12 and mark that as a point. and continue with this tactic with the rest.

Answer:

I think this is correct. <3

What is the distance between the points? Round to the nearest tenth if necessary.(-4,-8) (2,2)

Answers

Answer: [tex]2\sqrt{34}[/tex] or, as a decimal, 11.7.

Step-by-Step Explanation:

1. Use the distance formula and substitute the values of the two ordered pairs.

[tex]\sqrt{(2-(-4))^{2}+(2-(-8))^{2}}[/tex]...

2. Multiply -1 by -4.

[tex]\sqrt{(2+4)^2+(2-(-8))^2\\}[/tex] ...

3. Add 2 and 4.

4. Raise 6 to the power of 2.

[tex]\sqrt{36+(2-(-8))^2}[/tex]...

5. Multiply -1 by -8.

6. Add 2 and 8.

7. Raise 10 to the power of 2.

[tex]\sqrt{36+100}[/tex] ...

8. Add 100 and 36.

9. Rewrite 136 as 2² · 34.

10. After factoring 4 out of 136 and rewriting as ...  [tex]\sqrt{2^{2}(34)}[/tex], pull out terms from under the radical. It should look like this now: [tex]2\sqrt{34}[/tex]. That is your final answer!!

Hope that helps! Note: the unrounded decimal is 11.66190378.

(P.S. Can I have Brainliest please? Once someone else answers, of course...)

Find the value or measure. Round answers to the nearest tenth, as needed.

Answers

Answer:

26

Step-by-step explanation:

Solve 9x-1 = 41-5x

9x-1 = 41-5x

   +1   +1

9x = 42-5x

+5x      +5x

14x = 42

/14     /14

x = 3

Plug in X for EF

41-5(3)

41-15

=26

need help ASAP !!!

[tex] \sqrt{684 \times 684} [/tex]

Answers

Answer:

√(684×684)=√684²=±684

Sarah hiked a path that took her from 34 feet below sea level to 52 feet above sea level. What was the change in her elevation?

Answers

Answer:

18 feet

Step-by-step explanation:

52 - 34 = 18

Answer:

18

Step-by-step explanation:

52 - 34 = 18 because she went  34 down so that will be a -34 and then she went 52 up and 52 is a positive number so it really is  negative -34 + 52 = 18

1. TEMPERATURE Suppose the temperature
outside is dropping 3 degrees each
hour. How much will the temperature
drop in 8 hour?

Answers

it’ll drop by 24 degrees in 8 hours
3x8=24

sorry this isn’t in text form… But thank you if you’re willing to provide help!

Answers

Answer:

Blank 1: y=3x+10

Blank 2: y= 40

Step-by-step explanation:

Let the cost of gift wrap be y and the number of gifts be x.

Department

An upfront fee of $10 means that Mr Bentley needs to pay $10 first, and this $10 is only paid once on top of the cost of wrapping each gift.

y= 3x +10

Niece

A flat fee of $40 means that no matter how many gifts the niece wraps, Mr Bentley only pays $40.

y= 40

To find out when the two plans cost the same, equate the two equations together. Then, solve for x.

3x +10= 40

3x= 40 -10 (-10 on both sides)

3x= 30

x= 30 ÷3

x= 10

Thus when Mr Bentley has 10 gifts to be wrapped, the 2 plans costs the same.

Find the points of intersection of the circles.

Answers

Answer:

D. (5,0) and (5,10)

Step-by-step explanation:

please help on both!! will give brainliest.​

Answers

Answer:

6) a) y = −7/2 x , b) y = −1/2 x , c) y = −5/4 x , d) y = −17/10 x

Step-by-step explanation:

For question 5 it needs to have the input and output values or having a domain and range value. So it can't be solved.

(there's an error in this question)

As for question 6,

a) with coordinate (x,y) = (-2,7)

1. To find the equation of a line or gradient,

first find the slope via the formula: -> m = (y2-y1/x2-x1)

If we let (0,0) ➡️ (x1,y1) and

(-2,7) ➡️ (x2,y2) then,

m = (7-0/-2-0) = -7/2 ⬅️ This is the slope of the line/gradient

Now that we have found the slope we can find the equation via the point-slope formula:

(y−y1) = m(x−x1) ;

2. Substituting the slope = -7/2 for

m and any of the two coordinates given. I will use (0,0) be make things easier. We let (0,0) → (x1,y1)

Thus,

y−0 = −7/2 (x-0)

If we simplify this, we simply get

y = −7/2 x ← This is our equation for coordinate (-2,7)

b) with coordinate (x,y) = (2,-1)

1. To find the equation of a line or gradient,

first find the slope via the formula: -> m = (y2-y1/x2-x1)

If we let (0,0) ➡️ (x1,y1) and

(2,-1) ➡️ (x2,y2) then,

m = (-1-0/2-0) = -1/2 ⬅️ This is the slope of the line/gradient

Now that we have found the slope we can find the equation via the point-slope formula:

(y−y1) = m(x−x1) ;

2. Substituting the slope = -1/2 for

m and any of the two coordinates given. I will use (0,0) be make things easier. We let (0,0) → (x1,y1)

Thus,

y−0 = −1/2 (x-0)

If we simplify this, we simply get

y = −1/2 x ← This is our equation for coordinate (2,-1)

c) with coordinate (x,y) = (4,-5)

1. To find the equation of a line or gradient,

first find the slope via the formula: -> m = (y2-y1/x2-x1)

If we let (0,0) ➡️ (x1,y1) and

(2,-1) ➡️ (x2,y2) then,

m = (-5-0/4-0) = -5/4 ⬅️ This is the slope of the line/gradient

Now that we have found the slope we can find the equation via the point-slope formula:

(y−y1) = m(x−x1) ;

2. Substituting the slope = -5/4 for

m and any of the two coordinates given. I will use (0,0) be make things easier. We let (0,0) → (x1,y1)

Thus,

y−0 = −5/4 (x-0)

If we simplify this, we simply get

y = −5/4 x ← This is our equation for coordinate (4,-5)

d) with coordinate (x,y) = (10,-17)

1. To find the equation of a line or gradient,

first find the slope via the formula: -> m = (y2-y1/x2-x1)

If we let (0,0) ➡️ (x1,y1) and

(2,-1) ➡️ (x2,y2) then,

m = (-17-0/10-0) = -17/10 ⬅️ This is the slope of the line/gradient

Now that we have found the slope we can find the equation via the point-slope formula:

(y−y1) = m(x−x1) ;

2. Substituting the slope = -17/10 for

m and any of the two coordinates given. I will use (0,0) be make things easier. We let (0,0) → (x1,y1)

Thus,

y−0 = −17/10 (x-0)

If we simplify this, we simply get

y = −17/10 x ← This is our equation for coordinate (10,-17)

A cargo plane flew from the US across the Atlantic at 280 mph, and flew back to the US at 300
mph. Given that the first trip took two hours longer, how long was the return trip?

Answers

Answer:

Step-by-step explanation:

300t=280(t+2)

300t=280t+560

20t=560

t=28

CAN YOU PLS HELPS ME AND NO LINKS ALOUD.....PLS HELPS ME I WIL GIVE CROWN

Answers

Answer:

I'd say the first one, it is most common for states to have four or fewer roller skating rinks.

Have a lovely day/night! <3

I didn't pay attention in class for a few days and now I'm lost. if somebody could at least explain proportions I would be very thankful.

Answers

Answer:

A proportion is a comparison of two numbers that each represent the parts of a whole. Essentially, a proportion says that two fractions are the same, even if the amount is different. For example, 1/2 of 10 marbles is the same proportion as 1/2 of 50 marbles.

Step-by-step explanation:

A number b is increased by 6, and then the sum is doubled.

Answers

Answer:

2(b+6)

Step-by-step explanation:

Sierra has enough fencing to make three chicken coops shown each has the same perimeter which has the greatest area?

Answers

Answer:

Top left triangle has the greatest area

Step-by-step explanation:

Area of a triangle:

area = base × height / 2

a = bh/2

Top Left Triangle:

a = 6 × 5.2 / 2

a = 31.2 / 2

a = 15.6

Top Right Triangle:

a = 8 × 2.9 / 2

a = 23.2 / 2

a = 11.6

Bottom Left Triangle:

a = 2 × 7.9 / 2

a = 15.8 / 2

a = 7.9

Compare areas:

15.6 > 11.6 > 7.9

The average area of a bedroom in a home is 219 square feet with a standard deviation of 32.5 square feet. What is the largest a bedroom can be and be among the smallest 25% of bedrooms in a home?

Answers

Answer:

197.095

Step-by-step explanation:

Mean, m = 219 ft²

Standard deviation, s = 32.5 ft²

For a bedroom to be among the smallest 25%

P(x < Z) = 0.25

From Z probability calculator, this corresponds to a Zscore of - 0.674

Recall :

Zscore = (x - m) / s

x = bedroom size

-0.674 = (x - 219) / 32.5

-0.674 * 32.5 = x - 219

-21.905 = x - 219

x = - 21.905 + 219

x = 197.095

Hence, the largest a bedroom can be and still be among the smallest 25% is 197.095

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