The function f is given by f(x) = (x + 3)^2 - 1.
1) Write the coordinates of the vertex of the graph of f.
2) Does the graph open up or down? How do you know?

Answers

Answer 1

Answer:

the coordinate of the vertex is going to be (-3,-1) and it's concave up

Step-by-step explanation:

1.notice this function is in graphing form (x-h)^2+k, where (h,k) is your coordinate of the vertex, hence in this problem it's going to be (-3,-1)

2. notice that this function have a parent function of x^2, where it's a parabola that is concave up which in this case is basiclly the same shape it's also concave up

In calculus, we can proof it by finding the first derivatives and find the critical points, then take the second derivative at that critical points to see if that's negative or positive in this case it's positive


Related Questions

I need correct answer for this ​

Answers

Answer:

should be 82%

Step-by-step explanation:

Hope this helps!

Answer:

82%

Step-by-step explanation:

percents are out of 100, so its just multiplied by two

In the figure given below CP=x+3, PA=3x+19, CQ=x and QB=3x+4 then, what value of x will make PQ || AB?

Topic:CBSE board Class 10
Correct answer will be mark as brainliest.​

Answers

Given that

PQ || AB

CP = x+3

PA = 3x+19

DC = x+3

CA = x

QB = 3x+4

We know that

By Basic Proportionality Theorem,

CP / PA = CQ / QB

On substituting these values in the above formula

⇛ (3x+19) / (x+3) = (3x+4) / x

On applying cross multiplication then

⇛ x(3x+19) = (3x+4)(x+3)

⇛ 3x²+19x = 3x(x+3)+4(x+3)

⇛ 3x²+19x = 3x²+9x+4x+12

⇛ 3x²+19x = 3x²+13x+12

⇛ 3x²+19x-3x²-13x = 12

⇛ (3x²-3x²)+(19x-13x) = 12

⇛ 0+6x = 12

⇛ 6x = 12

⇛ x = 12/6

⇛ x = 2

∴ , x = 2

Answer: The value of x for the given problem is 2

Additional comment:

Basic Proportionality Theorem

" A line drawn parallel to the one side of a triangle intersecting other two sides at two different points, then the line divides the other two sides in the same ratio".

also read similar questions: In the given figure QR ∥AB, RP∥ BD,CQ=x+2,QA=x,CP=5x+4,PD=3x.The value of x is..

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what is the approximate value of a local maximum for the polynomial

Answers

Answer:

D) 2.5

                                             Aaliyah- ツ

Second part to my question ToT Plz help Double points :D

Answers

Answer: 3

Step-by-step explanation:

V=whl

Plz Heeeeelp! 25 POINTS! I'm so desperate I made two of these worth 25 points!

Answers

Answer:

The answer is B, f(x)=5(2/5)^(z)

Step-by-step explanation:

I did the graphs for all of them and graph B was identical to the one in the picture.

Answer:

  (b)  f(x) = 5(2/5)^x

Step-by-step explanation:

All of the offered choices agree that the multiplier of the exponential factor is 5. When x=1, the exponential factor must have a value of 2/5 in order to make the function value be 2 at that point.

That is, ...

  f(1) = 5(2/5)^1 = 5(2/5) = 2

You can get there either by using x=1 in each of the offered answer choices, or by observing that the ratio between f(1) and f(0) is 2/5.

  f(x) = 5(2/5)^x

Jovie is maintaining a camp fire. She has kept the fire steadily burning for 101010 hours with 151515 logs. She wants to know how many hours (h)(h)left parenthesis, h, right parenthesis she could have kept the fire going with 9 logs. She assumes all logs are the same.
How many hours can Jovie keep the fire going with 9 logs?

Answers

Answer:

Step-by-step explanation:

101010:151515 is the same as 2:3 or 2 logs for 3 hours. Using that you can set up your equation as such:

2:3

x:9

And then multiply across:

2x9 = 3x

18/3 = x

6 = x

Jovie can keep the fire running for 6 hours with 9 logs.

Another way to do this is to divide the log numbers, 9/3 = 3, and then multiply the hours by this number, 2x3 = 6.

Hope that helps

HELP MEEEE PLEASEEEE!!!!!

The graph of the step function g(x) = -x] + 3 is
shown.
What is the domain of g(x)?
5
O {xx is a real number}
O {x|x is an integer}
O {XI-2 s x <5)
O {xl-1 sxs5}

Answers

Answer:

{x| -2 ≤ x < 5}

Step-by-step explanation:

The domain is the x value in a graph, function e.t.c. From the farthest point to the left of the x-axis, we see -2. And from the farthest point to the right of the x-axis, we see 5. Therefore, the domain is {x| -2 ≤ x < 5}, Option C

Look here for visuals:

The domain of the step function g(x) is (c) {x I -2 <= x <5 }

The domain of a function is the set of input values the function can take.

From the graph, the x-values begin as -2 with a closed circle, and it ends at 5 with an open circle

The open circle means that -5 is not part of the domain, while the closed circle means that -2 is inclusive of the x-values

Hence, the domain of the step function g(x) is (c) {x I -2 <= x <5 }

Read more about domain at:

https://brainly.com/question/1770447

Whats the answer to this question?

Answers

Answer:

Try -4

Sorry if it's incorrect.

Step-by-step explanation:

Answer:

  [3, -1]

Step-by-step explanation:

The computation is performed element by element, as you appear to have figured.

  2f -g = 2[4, 1] -[5, 3] = [2·4 -5, 2·1 -3] = [8-5, 2-3]

  2f -g = [3, -1]

Find the quotient of 3,976 ÷ 28 = ________. Use the partial quotients strategy to help you.

Answers

Answer:

142

Step-by-step explanation:

Hope this helps

Guys, please help me faster will receive a Brainliest award if you answer my 2 of the math questions with the best given answers with the best step-by-step explanations, so here is an image for you to answer my 2 of the math questions as soon as possible. Well anyways, good luck on answering my 2 of the math questions and I will check the answers to see if it’s appropriate! :)

Answers

Answer:

Question 10.

Length of the side of the square = [tex]\sqrt{441} = 21[/tex]

By Pythagoras' Theorem,

Hypotenuse = [tex]\sqrt{21^{2} + 20^{2} }[/tex] (H > 0)

                     = 29 m

Ans: 29 m

Question 11.

By Pythagoras' Theorem,

Length of longer side of 42 km = 42- [tex]\sqrt{18^{2} - 15^{2} }[/tex] (L > 0)

                                                                     = 32.050 km (5 s.f.)

By Pythagoras' Theorem,

Length of the unknown side = [tex]\sqrt{32.050^{2} + 15^{2} }[/tex] (L > 0)

                                               = 35.4 km (3 s.f.)

Ans: 35 km

A local store buys used video games. For each game bought, they will pay $18 less than the original price paid for the game. Which expressions represent the total amount Jordan will receive if he sells n games that originally cost d dollars each? Select two options.
d (n minus 18)
n (d minus 18)
d + n minus 18
d n minus 18 n
18 n minus d n

Answers

Answer:

d

Step-by-step explanation:

I already did this before

Answer:

it B and D

Step-by-step explanation:

PLEASE ANSWER ASAP
Which graph

Answers

Answer:

graph 4

Step-by-step explanation:


I NEED HELP ASAP. PLEASE AND THANK YOU


Answers

Answer:

1, 2, and 5

Step-by-step explanation:

Use an area model to find the quotient: 132 ÷ 3 = ________.

Answers

Answer:

44

Step-by-step explanation:

Find the area of each figure

Answers

Answer:

54

Step-by-step explanation:

.5*9*12

54
Explanation ~
B•h/2
9•12=108
108/2=54
:)

Solve: x ÷ 0.6 = 8.9



5.34



9.5



8.3



0.07

Answers

Answer:

5.34

Step-by-step explanation:

x = 8.9 X 0.6

x = 5.34

Your welcome :)

7. Explain what step was taken to go from the first equation to the second equation.
step 1: 2(x - 4) = -12
step 2: 2x - 8 = -12
A. Distribute the 2 on the left side of the equation.
B. Subtract both sides by 4.
C. Divide both sides by 2.
D. Add 4 on the left side.

Answers

Option A

your just multiplying the 2 to what's in parentheses

Calculate the distance between the points M=(-1, -2) and C=(-9, 2) in the coordinate plane.
Round your answer to the nearest hundredth.

Answers

Answer:

nearest hundredth 8.944

Step-by-step explanation:

d = √((x2-x1)2 + (y2-y1)2)

Step by step procedure:

Find the difference between coordinates:

(x2-x1) = (-9 - -1) = -8

(y2-y1) = (2 - -2) = 4

Square the results and sum them up:

(-8)2 + (4)2 = 64 + 16 = 80

Now Find the square root and that's your result:

Exact solution: √80 = 4√5

Approximate solution: 8.944

How i can usea the distribute property on this equation?

Answers

Answer:

9(3-2r)

Step-by-step explanation:

27-18r the greatest common factor between 27 and 18 is 9. therefore, we can factor 9 out.

9(3-2r)

Hope this helps.

Answer:

9(3-2r)

Step-by-step explanation:


A basket contains four apples, three pears, two peaches, if we draw one fruit from the basket, what is the probability of getting a peach or an apple?

Answers

Answer:

The probability of getting a peach or an apple is 2/3.

Step-by-step explanation:

There are two peaches and four apples, so six fruits we want to know the probability of getting, and there are also three pears, which means we have nine fruits total. The chance of getting an apple or a pear is six out of nine, which simplifies to two out of three.

Factor the expression completely: x3 - 48x

Answers

Answer: The answer is X(X^2 - 48).

Complete the table for the given rule.

Rule: y=x-1/4

Answers

The answers would be 0,3, and 1 3/4

You use a juice mix to make orange juice.
You combine 12 ounces of the mix with 36 ounces of water.

What is a unit rate that describes your juice?


Mr. and Mrs. Ozawa are driving their family to a vacation spot 496 miles away. They want to get there in 8 hours. What is the average speed they need to drive?


Answers

Answer:

1. Ounces

2. 62 miles per hour

Step-by-step explanation:

1. 12 OUNCES and 36 OUNCES

2. 496/8 = 62 (check 62x8 = 496)

HELP ME PLEASE I DONT KNOW HOW TO DO THIS

Answers

Answer:

Step-by-step explanation:

x = 1 - 1

Please help me…………….

Answers

Answer:

Isosceles triangle.

Step-by-step explanation:

Express the perimeter of the following
rectangle in terms of n.
3n-7
n + 5
1. O 4n - 2
2. O 8n - 14
3. O 8n - 4
4. O 6n - 14

Answers

Answer:

8n - 4.

Step-by-step explanation:

Perimeter: 2B + 2L=> 2(3n - 7) + 2(n + 5)=> 6n - 14 + 2n + 10=> 8n - 4

Conclusion:

Therefore, the perimeter in terms of n is 8n - 4.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

its A

Step-by-step explanation:

A car travels 220 miles in 3 hours 20 minutes. What is its average speed?

Answers

I believe the answer is 68.75…

Answer:

66 miles per hour

Step-by-step explanation:

average speed = distance / time

distance : 220 miles

time : 3 hours 20 minutes or 3.33 hours

220 miles / 3.33 hours = 66 miles per hour

what comes after this:

2:4

4:8

8:10

_:_

Hint: Times two (x2) if you answer right then you shall get 30 points which is half of mine

You answer it you get 15 points so answer away

Answers

Answer:

16:20??

Lol I think it's wrong sorry.

Step-by-step explanation:

10:12? not 100% sure

What are the steps to convert a number from standard notation to scientific notation​

Answers

Answer:

Step-by-step explanation:

Let's take 4200 as an example.

To convert 4200 into scientific notation, follow these steps:

- Move the decimal 3 times to left in the number so that the resulting number, m = 4.2, is greater than or equal to 1 but less than 10

- Since we moved the decimal to the left the exponent n is positive

n = 3

- Write in the scientific notation form, m × 10^n

= 4.2 × 10^3

Therefore, the decimal number 4200 written in scientific notation is 4.2 × 10^3 and it has 2 significant figures.

how to find the circumcenter of a triangle with given vertices

Answers

Answer:

What is the formula of area of Circumcircle?

Image result

We know that area of circle = π*r2, where r is the radius of given circle. We also know that radius of Circumcircle of an equilateral triangle = (side of the equilateral triangle)/ √3. Therefore, area = π*r2 = π*a2/3.

Step-by-step explanation:

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