how to graph quadratic relationship for h(x)=(x-1)^2-9

Answers

Answer 1

Answer:

use the formula y = a(x-h)^2 + k

the a stretches or flattens the parabola,

The h shifts left to right , and the k shifts up/down

Step-by-step explanation:

How To Graph Quadratic Relationship For H(x)=(x-1)^2-9

Related Questions

when it is transformed to
What is the effect on the graph of f (2)
g(x) = 1 +112
A. The graph of f(x) is shifted 11 units to the left.
B. The graph of f(x) is shifted 11 units to the right.
C. The graph of f(x) is shifted 11 units up.
D. The graph of f(x) is shifted 11 units down.

Answers

Answer:

C. The graph of f(x) is shifted 11 units up.

Step-by-step explanation:

Given

[tex]g(x) = f(x) + 11[/tex]

Required

Interpret g(x)

When a function is shifted up in b units, the rule is:

[tex](x,y) \to (x,y+b)[/tex]

Replace b with 11

[tex](x,y) \to (x,y+11)[/tex]

Replace y with f(x)

[tex](x,f(x)) \to (x,f(x)+11)[/tex]

So, we have:

[tex]g(x) = f(x) + 11[/tex]

Hence; f(x) is shifted 11 units up.

Eileen is reading a novel for her library’s summer reading program. Which question can Eileen ask herself to best form a personal connection with the text?

A. What symbolism does this novel share with other novels I have read?
B. How do the facts in the text add to what I already know about my research topic?
C. What connections can I build between the themes in this text and other modern stories?
D. How do the struggles of the characters compare with challenges I have faced in my own life?

Answers

Answer:

Step-by-step explanation:

To begin with the answer. This is very personal, but I would choose D. I think you have to relate things to what you know. How do other people live through the same problem? Does the author believe that the best path has been chosen, or does he/she believe that the central character is doomed to failure? And how do these comments relate to me. You are going to get the most out of any novel when you can relate to the central character or any of the characters for that matter.

I'm not concerned with C. You can read trash and what they say is likely consistent but that only means that trash is pandering to a clientele that does not want to think much. Whatever spin you put on C, agreement is not a terrific thing. It does not make you think.

I suppose B is important if you are reading non fiction. I'm not answering it that way.

A: not the answer. This is a very remote connection. Most of the time symbolism is not the main attraction of any novel nor especially of any non fiction writing.  Moby D*ick is not a great novel because of its symbolism of which there is a huge amount. It is a great novel because the conflict is between man and nature and although that is symbolic, it is not as important as the character study of Ahab (who is himself a symbol). Nor or Ishmael for that matter. I will admit you have to have a Bible in one hand and Moby Di*ck in the other, but it is not critical. The theme is.

f(x)=-2x^2+x-5 find f(5)

Answers

f(5) = -50

Hope it helps you...

1. Find the equation of each of the straight line graphs that passes through the given
points.
(i) (1, 7) (2, 10)
(ii) (3, -1) (-2, 9)
(iii) (4, 3) (8,4)
(iv) (2, -5) (-2, 7
(v) (-1, -8) (3, 12)
(vi) (-5, 1) (10, –5)

(viii) (2, 2) (0, -4)

Answers

Answer:

25.987957

Step-by-step explanation:

How many pounds are in 2 tons, 800 pounds

Answers

Answer:

4,00 pounds

Step-by-step explanation:

Answer:

4,800 pounds

Step-by-step explanation:

2 tons = 4,000 pounds

800 pounds

4,000 + 800 =

4,800 pounds

A telephone pole has a wire attached to its top that is anchored to the ground. The distance from the bottom of the pole to the anchor point is 49 feet less than the height of the pole. If the wire is to be 14 feet longer than the height of the pole, what is the height of the pole?

Answers

9514 1404 393

Answer:

  105 ft

Step-by-step explanation:

Let x represent the height of the pole. Then (x -49) is the distance from the pole to the anchor point, and (x+14) is the length of the wire from the top of the pole to the anchor point.

The Pythagorean theorem gives us the relation ...

  (x +14)² = x² +(x -49)²

  x² +28x +196 = x² +x² -98x +2401 . . . . eliminate parentheses

  x² -126x +2205 = 0 . . . . . . . . put in standard form

  x² -126x +3969 -1764 = 0 . . . . "complete the square)

  (x -63) = ±√1764 . . . . . . add 1764, take the square root

  x = 63 +42 = 105 . . . . . . highest value root. The pole must be higher than 49 feet

The height of the pole is 105 feet.

Find the intersection of the line and the circle given below
2x+y=-5
x^2+y^2=10

Answers

Answer:

There are two intersections.

(-3,1) and (-1,-3)

Step-by-step explanation:

Answer:

They intersect at (-3,1), and also (-1,-3)

Step-by-step explanation:

Graph:

answer this quikly 24 = -3 + 3n

Answers

Answer:

n = 9

Step-by-step explanation:

24 = -3 + 3n

24 + 3 = 3n

27 = 3n

9 = n

Answer: n = 9

Step-by-step explanation:

24 = -3+ 3n  - so + 3 on both sides - you get

27 = 3n - then divide both sides by 3 - which is

9 = n

n = 9

Assuming n1=n2, p1=.4, p2=.7, sampling error=.0 and confidence interval of 99%, estimate (p1-p2)?

Answers

Answer:

Step-by-step explanation:

What is the cardinal number of the set {-1,3,7,52,36,19,-6}

Answers

Answer:

can you please send me another one

Anyone good with calculus? Please help.

Answers

First take a time derivative of a function describing motion,

[tex]\frac{d}{dt}h(t)=\frac{d}{dt}-4.9t^2+19.6t-14.6=-9.8t+19.6[/tex].

Finding the maxima of the function is obtained by determining where the critical points are. You can find the critical points by equating the derivative with 0 and solving for t,

[tex]\frac{d}{dt}h(t)=0[/tex]

[tex]-9.8t+19.6=0\implies t=\frac{19.6}{9.8}=\boxed{2}[/tex].

So at 2 seconds the ball peaks in height.

To find out the height feed 2 to the function h.

[tex]h(2)=-4.9\cdot2^2+19.6\cdot2-14.6=\boxed{5}[/tex].

So at 2 seconds the ball reaches maximum height of 5 meters.

Hope this helps :)

What is the length of Line segment A C? Round to the nearest tenth.

Triangle A B C is shown. Angle A C B is 90 degrees and angle B A C is 55 degrees. The length of C B is 15 meters.

10.5 m
12.3 m
18.3 m
21.4 m

Answers

Answer:

10.5

Step-by-step explanation:

In the picture if you think about it, it has to be a number less than 15 since CB is 15. I picked 12.3 and got it wrong therefore it has to be 10.5.

Answer:

A) 10.5

Step-by-step explanation:

The functions f and g are defined as follows.
f(x) =-2x+4
g(x) = 3x° +5
Find f(7) and g(-2).
Simplify your answers as much as possible.

Answers

Step-by-step explanation:

Substitute x=7in function f

Substitute x= - 2 in function g

f(7)= - 2(7)+4

= -10

g(-2)= 3(-3)+5

= - 4

Brainliest please~

Can someone plz solve this for me

Answers

Answer: [tex]y^\frac{1}{8}[/tex]

Step-by-step explanation:

Ok so when taking roots the number in the little corner at the left of the radical sign (if there is one) is the root you take. It could be the 4th root, 6th root, or the x root. You don't have to use the radical sign though, you can use an exponent to write it. All you have to do is take the reciprocal of the number to find what to write for the exponent. So for those examples it would be [tex]\frac{1}{4}, \frac{1}{6} ,\frac{1}{x}[/tex]. The number in the top left of the radical sign is 8 so the answer would be [tex]y^\frac{1}{8}[/tex]

Expand the following: 4(a + 3b - 5c).
Please help, I'm really struggling with expanding equations

Answers

Answer:

4a+12b-20c

Step-by-step explanation:

Use the distributive property, multiply the number on the outside to everythign on the inside.

4*a=4a

4*3b=12b

-5c*4=-20c

Answer;

Explanation:

4(a + 3b - 5c)
= (4 x a) + (4 x 3b) - (4 x 5c)
= 4a + 12b - 20c

i will give brainliest!

Given a rhombus has a side length of 15 and one diagonal has a length of 2x. Find the length of the second diagonal in terms of x. Show all work and leave your answer in radical form.

Answers

9514 1404 393

Answer:

  2√(225 -x²)

Step-by-step explanation:

Let 2y be the length of the second diagonal. The half-diagonals and the side of the rhombus form a right triangle. The Pythagorean theorem tells us the relationship between sides and hypotenuse is ...

  x² +y² = 15²

  y² = 225 -x²

  2y = 2√(225 -x²2) . . . . the length of the second diagonal

I’m in summer school can y’all plz help me

Answers

Answer:  Choice A.   [tex]-x^2+2x+8[/tex]

Work Shown:

[tex](f - g)(x) = f(x) - g(x)\\\\(f - g)(x) = (2x+1) - (x^2-7)\\\\(f - g)(x) = 2x+1 - x^2+7\\\\(f - g)(x) = -x^2+2x+(1+7)\\\\(f - g)(x) = -x^2+2x+8\\\\[/tex]

which shows the answer is choice A.

Side note: be sure to distribute the negative to every term inside the second set of parenthesis. So you wouldn't say -(x^2-7) = -x^2-7. If you did this error, then you'd get to the wrong answer choice C.

Answer:

hope it helps u plz mark me brainliest mate

Step-by-step explanation:

(f-g)(x)=2x+1-(x^2-7)

(f-g)(x)=2x+1-x^2+7

(f-g)(x)= -x^2+2x+8

this is the correct answer

Which expression is equivalent to this polynomial? 9x^2 + 4


A. (3x+2i)(3x-2i)

B. (3x+2)(3x-2)

C. (3x+2i)^2

D. (3x+2)^2

Answers

The answer is A (3x+2i)(3x-2i)

Which of the following would be an example of the Coase​ Theorem? A. The county commission agrees to a town meeting to hear concerns from citizens about setting off fireworks after 10 p.m. B. The county commission approves a steep fine to be placed on anyone setting off fireworks after 10 p.m. C. The homeowners association provides a fireworks show that ends at 10 p.m. D. The homeowners association agrees to report anyone setting off fireworks after 10 p.m. to the local authorities.

Answers

Answer:

The correct answer is C.

Step-by-step explanation:

Coase Theorem says that any externality can be dismantled no matter who is ultimately compensated. The theorem mainly concerns compensation for pollution of foreign property, and states that, provided certain conditions are met, negotiation can lead to Pareto's optimal outcome.

Ronald Coase came up with the idea when looking for a way to allocate broadcast frequencies as efficiently as possible to individual radio stations. Competing radio stations could not agree on which radio frequency to choose, and if more than one of them was broadcasting on the same frequency, there was mutual interference. Coase noted that, despite the lack of state regulation to ensure a fair allocation of radio frequencies, the market is able to deal with this problem as follows: Radio stations that have sought to increase their economic profits by broadcast on an exclusive frequency, they were willing to pay their competitors to switch to another radio frequency without interrupting their transmission.

Given the function f(x) = 7x^2 − 2x + 5. Calculate the following values:

Answers

F(3)=16 i saw this problem before so it should be the answer in the end

We have that the Fuction's result for the given values are

f(-2) =37f(-1) =14f(0) =5 f(1) =10f(2) =29

From the Question we are told that

Function

[tex]f(x) = 7x^2 -2x + 5.[/tex]

Generally

For -2

[tex]f(-2) = 7(-2)^2 − 2(-2) + 5.[/tex]

f(-2) =37

For -1

[tex]f(-1) = 7(-1)^2 − 2(-1) + 5.[/tex]

f(-1) =14

For 0

[tex]f(0) = 7(0)^2 − 2(0) + 5.[/tex]

f(0) =5

For 0

[tex]f(1) = 7(1)^2 − 2(1) + 5.[/tex]

f(1) =10

For 2

[tex]f(2) = 7(2)^2 − 2(2) + 5.[/tex]

f(2) =29

For more information on this visit

https://brainly.com/question/18301109?referrer=searchResults

I’m having trouble finding the answers to this problem

Answers

Step-by-step explanation:

Solve by Subsitution

[tex]x = 50 - y[/tex]

Replace this into the second equation

[tex]y(50 - y) = 300[/tex]

[tex]50y - {y}^{2} = 300[/tex]

Write in standard form

[tex] - {y}^{2} + 50y = 300[/tex]

Use the quadratic formula, and our answer will be

(6.97,43.02)

(43.02,6.97)

Find the volume of the figure. Round to the nearest tenth if necessary.

Answers

Answer:

Volume = 204 m³

Step-by-step explanation:

The figure is a triangular prism

Volume of the triangular prism = ½ × a × c × h

Where,

a = 8 m

c = 5.1 m

h = 10 m

Plug in the known values and solve

Volume = ½ × 8 × 5.1 × 10

Volume = 4 × 5.1 × 10

Volume = 204 m³

Water is leaking out of an inverted conical tank at a rate of13400cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height8meters and the diameter at the top is6meters. If the water level is rising at a rate of24centimeters per minute when the height of the water is5meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute.

Answers

9514 1404 393

Answer:

  2,664,118.8 cm³/min

Step-by-step explanation:

The diameter at the water level of 5 m is (5/8)(6 m) = 3.75 m, so the area of the water surface is ...

  A = (π/4)d² = (π/4)(3.75 m)² ≈ 11.044662 m²

When rising at the rate of 24 cm/min, the volume is increasing at the rate ...

  (110,446.62 cm²)(24 cm/min = 2,650718.8 cm³/min

The input volume must be sufficient to accommodate this increase as well as the leakage. Then the input volume is ...

  2,650718.8 cm³/min + 13,400 cm³/min = 2,664,118.8 cm³/min

Hey im new and im trying to get the answers for the last 2 questions if you knows the answer please help me thanks.

Answers

Answer:

x=0 and up

Step-by-step explanation:

Answer:

x =0 is the axis of symmetry

The parabola goes up so the parabola opens up

Step-by-step explanation:

The axis of symmetry is the based on the vertex

x =0 is the axis of symmetry

The parabola goes up so the parabola opens up

Solve the quadratic inequality
(x - 2)(x – 4) > 0

A) 2 B) x<2
C)x>4
D) x<2 or x>4

Answers

Answer:

C: x > 4

none of the others

Thời gian vận chuyển hàng hóa trên tuyến đường AB là biến ngẫu nhiên X có phân phối
chuẩn với trung bình u= 5 giờ, độ lệch chuẩn o= 0, 25 giờ.
a. Chuyến có thời gian lớn hơn (5,2+(28+2)/100) giờ được xem là trễ, tính tỉ lệ chuyến trễ?

Answers

Answer:

Thời gian vận chuyển hàng hóa trên tuyến đường AB là biến ngẫu nhiên X có phân phối

chuẩn với trung bình   5 giờ, độ lệch chuẩn   0, 25 giờ.

a. Chuyến có thời gian lớn hơn 5,2 ( ) /100   a b  giờ được xem là trễ, tính tỉ lệ chuyến trễ?

Step-by-step explanation:

Answer:

Step-by-step explanation:

P(X>5.5)= 0.5-phi((5.5-5)/0.25)

=0.5- phi(2)

= 0.5-0.4773= 0.0227

This is the question I am stuck on

Answers

Answer:

a^ 8 / b^12

Step-by-step explanation:

We know that x^y / x^z = x^ (y-z)

a^-5 b^-4

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

a^ -13 b^8

a^ (-5 - -13) b ^ (-4 -8)

a^ (-5+13) b^ (-4-8)

a^ 8 b^ (-12)

We know that x ^ - y = 1/ x^y

a^ 8 / b^12

Could you answer number 6 in the pic​

Answers

Answer:

here's the answer to the question

Can someone help please

Answers

9514 1404 393

Answer:

  (b)  f(x) = (-x)^(1/2)

Step-by-step explanation:

The square root is only defined for argument values that are non-negative. Hence the domain of ...

  f(x) = (-x)^(1/2)

is all values of x less than or equal to zero. This is not "all values of x."

Find a solution to the initial value problem,
y″+12x=0, y(0)=2,y′(0)=−1.

Answers

Answer:

y = -2*x^3 - x + 2

Step-by-step explanation:

We want to solve the differential equation:

y'' + 12*x = 0

such that:

y(0) = 2

y'(0) = -1

We can rewrite our equation to:

y'' = -12x

if we integrate at both sides, we get:

[tex]\int {y''} \, dx = y'= \int {-12x} \, dx[/tex]

Solving that integral we can find the value of y', so we will get:

y' = -12* (1/2)*x^2 + C = -6*x^2 + C

where C is the constant of integration.

Evaluating y' in x = 0 we get:

y'(0) = -6*0^2 + C = C

and for the initial value problem, we know that:

y'(0) = -1

then:

y'(0) = -1 = C

C = -1

So we have the equation:

y' = -6*x^2 - 1

Now we can integrate again, to get:

y = -6*(1/3)*x^3 - 1*x + K

y =  -2*x^3 - x + K

Where K is the constant of integration.

Evaluating or function in x = 0 we get:

y(0) = -2*0^3 - 0 + K

y(0) = K

And by the initial value, we know that: y(0) = 2

Then:

y(0) = 2 = K

K = 2

The function is:

y = -2*x^3 - x + 2

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