The parent function y = -2x^2+5 is translated down 12 units and left 8 units. What is the new equation in vertex form?

Answers

Answer 1

Answer:

y=-2(x+8)²-7

Step-by-step explanation:

Given: y=-2x²+5

After transformations: y=-2(x+8)²-7

Vertex would be (h,k) -> (-8,-7) instead of (0,5)


Related Questions

The function f(t) = 790(0.994) 60t represents the change in a quantity over t
hours. What does the constant 0.994 reveal about the rate of change of the quantity?

Answers

Answer:

Please check explanations

Step-by-step explanation:

From what we have, the constant term is 0.994

Now, what this mean is that with an increase in the value of t, there will be a decrease in the change of quantity

This is because the rate of change is less than 1

With an increasing value of power, the value of the exponent would be less than its previous value

So what this mean is that we would have less quantities over time since the value of the constant term is less than 1


Can anyone help me with this question please .
I’ll mark you as a brainliest
No links please .

Answers

i’m assuming since the cars are 5 miles from each other then the car going northbound only travels 2 miles because of the car going eastbound had traveled 3 miles 5-3=2

Just answer the question in the picture. It's just math vocab! DO NOT answer for points OR SPAM LINKS!!! I will REPORT!

Answers

Answer:

A circle is a round shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.

The distance from the center to the circumference of a circle

The diameter is the length of the line through the center that touches two points on the edge of the circle.

The Radius is the distance from the center outwards. The Diameter goes straight across the circle, through the center. The Circumference is the distance once around the circle.

In plane geometry, a chord is the line segment joining two points on a curve. The term is often used to describe a line segment whose ends lie on a circle.

A line segment that has the endpoints on the circle and passes through the midpoint is called the diameter. The diameter is twice the size of the radius. A line segment that has its endpoints on the circular border but does not pass through the midpoint is called a chord. A circle is the same as 360°.

A line that intersects two or more points on a curve. (From the Latin secare "to cut")

The length of the side opposite the angle divided by the length of the adjacent side.

A line that intersects a circle in exactly one point is called a tangent and the point where the intersection occurs is called the point of tangency. The tangent is always perpendicular to the radius drawn to the point of tangency. A secant is a line that intersects a circle in exactly two points.

Common tangents to two circles may be internal or external. A common internal tangent intersects the line segment connecting the centers of the two circles whereas a common external tangent does not.

Step-by-step explanation:

they are in order! tell me if i made a mistake:)

Mr. Smith wants to buy some new shirts to wear at work. He hears that button down shirts are 30% off at the mall. He paid $27 to buy 1 button down shirt. What was the original price of the shirt?

Answers

Answer:

Answer:

$90

Step-by-step explanation:

27/.3

sin(**) =
A. – V2
2
B. 3
2
c
C. V2
2
D.
2

Answers

Answer:

C

Step-by-step explanation:

Short explanation:

Using the unit circle, the answer is C.

If you want a full in depth, answer:

The unit circle has a radius of 1.

3pi/4 is located in the 2nd quadrant.

That radian measures 135 degrees.

The 2nd quadrant start after 90 degrees.

To find the terminal angle, subtract 90 from 135.

Which gives you 45.

This means we are dealing with a 45-45-90 triangle.

Since our hypotenuse is 1, our y and x have to be

[tex] \frac{ \sqrt{2} }{2} [/tex]

Sin is positve in the 2nd quadrant so C is the answer.

Determine if each pair of triangles is congruent. If so, write the congruence
statement and explain how you know the triangles are congruent.

Answers

Answer:

top one, yes. by the SSS theorem

bottom one, no. The bases are not congruent

Step-by-step explanation:

Derrick started a new job at McDonald's. He makes $10 per hour. Which
equation models his total weekly earnings y, in terms of the number of
hours he works x? *

Answers

Answer:

10x=y.

Step-by-step explanation:

10 represents the amount he earns an hour. X represents the number of hours so 10x. 10 times the amount of hours equals y (total amount of money)

Answer:

y = 10x

Step-by-step explanation:

The total earnings, y, is equal to the hourly rate, 10, times x, the hours worked.

y equals 10 times x, or, in equation form, y = 10x.

I hope this helps ^^

a half dollar is 3.86 mm thick. a penny is 1.2 mm thick. what is the thickness of both coins combined?

Answers

Answer:

5.06

Step-by-step explanation:

hope this helps

(if correct, can u plz mark as brainliest?)

Answer:

8.92 mm

Step-by-step explanation:

thickness of combination = (3.86)2 + 1.2 = 5.06 + 3.86 = 8.92 mm

I edited its correct now plz mark me

An engineer is designing a fountain that shoots out drops of water. The nozzle from which the water is launched is 3 meters above the ground. It shoots out a drop of water at a vertical velocity of 14 meters per second. Function h models the height in meters, h, of a drop of water t seconds after it is shot out from the nozzle. The function is defined by the equation h(t)=−5t2+14t+3. How many seconds until the drop of water hits the ground?

Answers

Answer:

After 3 seconds

Step-by-step explanation:

Given

[tex]h(t) = -5t^2 + 14t + 3[/tex]

Required

Time the drop will hit the ground

When the drop hits the ground,

[tex]h(t) = 0[/tex]

So, we have:

[tex]0 = -5t^2 + 14t + 3[/tex]

Rewrite as:

[tex]5t^2 - 14t - 3 = 0[/tex]

Expand

[tex]5t^2 + t - 15t - 3 = 0[/tex]

Factorize

[tex]t(5t + 1) -3(5t + 1) = 0[/tex]

Factor out 5t + 1

[tex](t -3)(5t + 1) = 0[/tex]

Split

[tex]t -3 = 0[/tex] or [tex]5t + 1 = 0[/tex]

Solve for t

[tex]t = 3[/tex] or [tex]5t = -1[/tex]

Time cannot be negative.

So:

[tex]t = 3[/tex]

Write the radius of each circle.
1. (x - 2)2 + (- 5)2 = 36 r=
2. x2 + y2 = 25 r =
4. x2 + y* = 49 r =
3. (x-8) + (y + 3)2 = 9
r=
Write the equation of each circle.
5. Circle L with center L(4, -3) and radius 5
6. Circle A centered at the origin with radius 6
7. Circle D with center D(3, 3) and radius 2
8. Circle M with center M(0.-2) and radius 9

Answers

Answer:

1. 6

2. 5

3. 3

4. 7

5. (x-4)2 + (y+3)2 =25

6. x2+ y2 = 36

7. (x-3)2+(y-3)2 = 4

8. x2 + (y+2)2 = 81

Step-by-step explanation:

use formula (x-h)2 + (y-k)2 = r2

where (h,k) is center and r is radius

Help I’ll give brainliest!!

Answers

Answer:

Slope is -2.8 so D

Step-by-step explanation:

I got -14/5 which converted is -2.8

Please help...My answer is close but not close enough..

No links :)

Answers

Answer:

76

Step-by-step explanation:

(5x3)+(5x3)=30

15-6=9

5x9=45

45+30=75

Since 76 is the closest to 75 it's 76

Julius bought F boxes of 24 plastic forks. He already had 39 plastic forks. Now, he has 135 plastic forks. How many boxes of plastic forks did Julius buy in all?

Answers

Julius bought 4 boxes of plastic forks

aurav went to school for 216 days in a full year. If his attendance is 90%, find the number of days on
which the school was open.​

Answers

Answer:

The school was open for 240 days

Step-by-step explanation:

216 / x = 90%/100%

216*100= 21,600

21,600/90 = 240

Which function has the same range as
f(x)= -2sqrt (x-3)+8

Answers

Answer:

Answer: : g(x)=-sqrt(x+3)+8

Step-by-step explanation:

The function has the same range is the third one:

g(x)=-sqrt(x+3)+8

The range of this function is:

x+3>=0

sqrt(x+3)>=sqrt(0)

sqrt(x+3)>=0

Multiplying the equation by -1:

-1[ sqrt(x+3)>=0]

- sqrt(x+3)<=0

Adding 8 both sides of the equation:

- sqrt(x+3)+8<=0+8

- sqrt(x+3)+8<=8

g(x)<=8

Then Range g(x)= (-Infinite, 8]

Answer: Third option: g(x)=-sqrt(x+3)+8

Two wires are attached 6 feet up a tree and 3 feet from the base of the tree. About how much TOTAL wire was used?

Answers

Answer:

9 cm²

Step-by-step explanation:

Two wires are attached 6 feet up a tree and 3 feet from the base of the tree. About how much TOTAL wire was used?

We solve the above question, using the Area of a Triangle

Area = 1/2 × Base × Height

Area = 1/2 × 3 × 6

Area = 9 cm²

Therefore, the total wore that was used was 9cm² of wire

The average growth of human hair is 0.5 inch
per month. Find how long it takes a human to
grow 3 inches of hair.
Equation:
Solution:

Answers

Equation : 0.5x = 3

Solution : 6

What is the area in square centimeters of the trapezoid below​

Answers

Answer:

39.6 cm²

Step-by-step explanation:

The formula for the area of a trapezoid is given as:

Area of a Trapezoid = 1/2(a + b) h

Where, from the question:

a = 8.9 cm

b = 5.5 cm

h = 5.5cm

Hence,

1/2 (8.9cm + 5.5cm) × 5.5cm

= 1/2 × 14.4 cm × 5.5 cm

= 39.6 cm²

Area of the Trapezoid = 39.6 cm²

Find the area of the given shape.
3)
11 cm
4.3 cm
A) 23.65 cm
C) 47.3 cm
B) 11.8 cm
D) 15.55 cm

Answers

Step-by-step explanation:

the answer is 23.65

if you look up "triangle formula area" a area calculator should pop up and you just put in the base and height number and it will do it for you

Solve. 1/2(4x + 2/5) = 4/5

Answers

Answer:

[tex]\frac{1}{2}(4x + \frac{2}{5} ) = \frac{4}{5}\\2x + \frac{1}{5} = \frac{4}{5}\\\frac{10x + 1}{5} = \frac{4}{5}\\10x + 1= 4\\10x = 3\\x = \frac{3}{10}[/tex]

Answer:

x = 3/10

Step-by-step explanation:

Given equation,

→ 1/2(4x + 2/5) = 4/5

Let's solve the problem,

→ 1/2(4x + 2/5) = 4/5

→ 2x + (1/5) = 4/5

→ 2x = (4/5) - (1/5)

→ x = (3/5) × (1/2)

→ [ x = 3/10 ]

Thus, the value is 3/10.

What is the difference between the number of solutions for a two-step equation and for a two-step inequality

Answers

Answer:

A two-step equation is something like:

A*X + B = C

In this case, like in a linear equation, we have only one solution that can be found as:

A*X = C - B

X = (C - B)/A

In the case of a two-step inequality, we have something like:

A*X + B > C

Solving this we get;

A*X >  C - B

X > (C - B)/A

In this case, any value of X that is larger than  (C - B)/A is a solution, so in this case, we have infinite solutions.

That is the difference between the number of solutions for each case, in a two-step equation we have only one, while in the case of the inequality we have infinite.

√4×√9 plz say the answer​

Answers

Answer:

the answer is 6

Step-by-step explanation:

i took the test, trust me

Each container has a base of 4 1/4 yds by 1 2/3 yds. What is the area covered by all the containers?

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

Base Dimension

[tex]Length = 4\frac{1}{4}yd[/tex]

[tex]Width = 1\frac{2}{3}yd[/tex]

Required

The base area of all containers

First, calculate the base area of 1 container.

This is calculated as:

[tex]Area = Length * Width[/tex]

[tex]Area = 4\frac{1}{4}yd * 1\frac{2}{3}yd[/tex]

Express as improper fraction

[tex]Area = \frac{17}{4}yd * \frac{5}{3}yd[/tex]

So, we have:

[tex]Area = \frac{17*5}{4*3}yd^2[/tex]

[tex]Area = \frac{85}{12}yd^2[/tex]

The number of containers is not given. So, I will use 'n' as the number of containers.

So, we have:

[tex]Total = n * Area[/tex]

[tex]Total= n * \frac{85}{12}yd^2[/tex]

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

Assume n is 3 (i.e. 3 containers)

The total area is:

[tex]Total= 3 * \frac{85}{12}yd^2[/tex]

[tex]Total= \frac{85}{4}yd^2[/tex]

[tex]Total= 21\frac{1}{4}yd^2[/tex]

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

Factorise using the sum and product method with all the steps!
British curriculum

No links or websites please !

Answers

Answer:

(2x+3)(x-5)

Step-by-step explanation:

Given the expression 2x²-7x-15

Factorize

2x²-10x+3x-15 =0

2x(x-5)+3(x-5)

(2x+3)(x-5)

Hence the factored form of the expression is (2x+3)(x-5)

HI thts way tooo much to answer but ye

A door is fixed at the point O. Ben opened it by an angle of 30°. The area swept by the door was {25}{12}\pi\

Answers

Answer:

5 units

Step-by-step explanation:

Area swept by the floor will be the area ofd a sector

Area of a sector = theta/2π * πr²

We are to find the radius r

Given

Area=  25π/12

theta = 30° = π/6

Substitute

25π/12 = 30/360 * πr²

25π/12 = 1/12 * πr²

25/12 = r²/12

r² = 25

r = √25

r = 5

Hence the radius od the part swept by the door is 5 units

IS IT A FUNCTION? PLEASE HELP ILL HIVE BRAINLEST! SHOW WORK ‼️‼️

1) (-5,-3)(7,2)(3,8)(5,-3) (3,-8)

Answers

Answer:

No, this is not a function. If you place the points, it will not pass the vertical line test. And, in a function, each x-coordinate has to have one y-coordinate. In this problem, there are two x-coordinates of 3, and they both have a different y-coordinate.

Step-by-step explanation:

PLEASE HELP!
Use the bar graph to find the relative frequency of the event.
The relative frequency of spinning a 6 is ___

Answers

i think its 7

Hope this helps

-scav

Answer: 14%

Step-by-step explanation:

Round the greater number to the tens place. Then calculate the product.
64 x 3
O A. 72
B. 150
C. 180
D. 192
O E. 210

Answers

Answer:

d:192

Step-by-step explanation:

image below plz help god bless you

Answers

Answer:

The answer will be D!

Step-by-step explanation:

First, let's find the value of X:

2x + 4x + 3x = 81

9x = 81

x = 9

Then, multiply it by the biggest side which is 4:

9 x 4 = 36

I think it’s d sorry if I’m wrong

whowever answers any 2 I will follow them​

Answers

Answer:

1. x = 5 y = 6

2. x = 3 y =5

3. x = 2 y = 4

4. x = 2 y = 1/2

5. x = 6 y = 4

6. x = 2 y = 1

Step-by-step explanation:

i hope it helps u

Other Questions
Which is the value of this expression when m=3 and n=-5? (6m^-1 n^0)^-3A:-8B:-1/8C:1/8D:8 Beagles, greyhounds, German shepherds, and even tiny toy poodles are all related to the same majestic wild animal, the wolf. In fact, all domestic dogs are descended from wolves. There are several species of wolf, including the gray wolf, the arctic wolf, the red wolf, the white wolf, and the Mexican wolf. Wolves are some of the most widespread mammals. Populations of wolves exist in almost as many places around the globe as humans do.Wolves are exceptional pack hunters. This is why they are able to take down large prey such as moose or deer by working together as a seamless team. Wolf pups as young as eight months old begin helping on the hunt. Wolves can reach speeds of up to 40 miles per hour when chasing prey, and their thick, double-coated fur enables them to keep warm in even the coldest arctic temperatures. Their large, powerful paws can reach up to 5 inches across and help to propel them quickly across the snow.Next time you're playing fetch with your furry friend, think about its ancestor, the wolf. That terrier or pug might only be able to take down a ball or a bone, but it gained its instincts to chase and hunt from those greatest of hunters, the wolves.Read the article "The Necessity of Hybrids".What do you get if you cross two different species? Depending upon the species, you might end up with a grolar bear, a wolfdog, or a Savannah cat, among many others. What do these animals have in common? They're hybrids. Sometimes hybrids happen naturally in the wild, but usually, hybrids are the result of humans selectively breeding animals.Grolar bears and pizzlies are the result of crossing polar bears and grizzly bears. These hybrids were first seen in zoos, as the bears' natural habitats did not normally overlap. Recently, these hybrids have started appearing in the wild. Due to climate change, the bears' once-separate habitats are beginning to overlap. Bigger and more aggressive than their parents, grolar bears and pizzlies could pose a risk to natural habitats and humans.Wolfdogs are, as their name suggests, the result of crossing a wolf with a domestic dog. Bred for the pet trade, these hybrids do not often happen in the wild. Wolfdogs do not make good pets, however, as they can be destructive and aggressive. Many states have outlawed keeping wolfdogs because they can pose a danger to people.Savannah cats are another example of human-made hybrids that were developed to be pets. Savannahs are the result of crossing a small wildcat called a serval with a domestic housecat. They look like miniature versions of the wildcat, which is why many people like keeping them as pets. Like the wolfdog, however, Savannahs do not make ideal house pets. They can be destructive, and usually, they keep the wild nature of the serval.There are many more examples of human-made hybrid animals. Some hybrids, such as the mule, have been helpful to humans. Unfortunately, others, like the wolfdog or Savannah cat, should not have been made in the first place.How is the overall structure of "The Wolves Among Us" similar to the structure of "The Necessity of Hybrids"?A. Both articles use the cause and effect text structure.B. Both articles use the chronological text structure.C. Both articles use the compare and contrast text structure.D. Both articles use the problem and solution text structure. 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Then write another three- paragraph essay expressing your opinion about whether this person would still be a great leader today. Part A You identified the three main qualities of a good leader in the previous task. You also identified a historical figure that you believe was a great leader for the time. Think about what this person would be like if he or she lived today. First, look at list of some modern characteristics of a leader e. Compare the qualities and characteristics of the historical leader you chose to this list. Then identify any characteristics that match your leader and explain why you think they do.PART Byou have identified ways that the historical figure you select it was a great leader in the past and now you've examined some characteristics of great leaders today now you will write another three paragraph essay. Your essay should express your opinion about whether this leader would still be an effective leader today. 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