Write a quadratic function in vertex form whose graph has the vertex (-2, - 13) and passes
through the point (-6,3).

Answers

Answer 1

Answer:

         f(x) = ⁵/₈(x+2)² - 13

Step-by-step explanation:

Vertex form of the equation of a quadratic function with vertex (h,k):

f(x) = a(x - h)² + k

To find a we need to put the point and the vertex into this equation:

3 = a(-6 + 2)² - 13

10 = a(-4)²

16a = 10

a = ⁵/₈

Therefore, vertex form of the quadratic function:

f(x) = ⁵/₈(x+2)² - 13


Related Questions

please do this quick

Answers

He can hold 14 gallons

HELP ME!!!!!!!!!!!!!!!!

Answers

Answer:

It is 20 for admission and 10 for each class

Step-by-step explanation:

Because the line is at a 45 degree angle and the graph is 1-10

Kira is going to the airport. It is 9:50 AM right now. Kira's flight will depart in 3 hours 39 minutes. What is the departure time of her flight?

Answers

Answer: 1:29pm

Step-by-step explanation:

9:50am + 3 hours = 12:50pm

12:50pm + 10 minutes= 1:00pm

1:00pm+ 29 minutes= 1:29pm

Which of the following inequalities is true for ALL real values of x?

x3 ≥ x2

3x2 ≥ 2x3

(2x)2 ≥ 3x2

3(x − 2)2 ≥ 3x2 − 2

Answers

(2x)2 > 3x2 is true the first two you can not have two x’s on the same side because where would you put them both when solving them the last one I’m not sure about

HELP DUE IN 10 MINS!

9. The diagonals of a kite are congruent.



True

False

10. The base angles of an isosceles trapezoid are congruent.



True

False

Answers

Answer:

9. not all of them are, so false

10. true

Step-by-step explanation:

Answer:

True and true

Step-by-step explanation:

I think this is symmetry, but if it’s not I’ll change my answer

If you simplify(x^3/x/x)^3, what power rules do you need to simplify it? a. Addition Rule and Power of a Power Rule b. Subtraction rule and Power of a Power. c. Division Rule and Power of a Power Rule d. Power of a Product Rule and Power of a Power Rule e. None of these choices

Answers

Answer:

. c. Division Rule and Power of a Power Rule

Step-by-step explanation:

(x^3/x/x)^3

=(x³/x/x)³

First we need to solve the brackets. Anything written in the fraction form a/b/c can be written as a*c/b.

Similarly (x³/x/x)³ can be written as (x*x³/x)³

Solving further the x can be cancelled by x leaving x³ behind.

(x³)³

Now applying the Power of a Power Rule

x³*³= x⁹

First the division rule and then the power rule is applied.

please help!
in the equation x^2+12x+32=(x+a)(x+b), b is an integer. find algebraically, all possible values of b.

Answers

The possible value of b is:
-ax + 12x + 32 /over/ a + x

PLEASE HELP !!
Find the value of x
picture attached

Answers

Answer:

x = 11

Step-by-step explanation:

The two angles are consecutive interior angles so they add up to 180

13x -26 + 5x + 8 = 180

13x + 5x -26 + 8 = 180

18x - 18 = 180
18x = 180 + 18

18x = 198

x = 11

3. A mysterious metal medallion has a mass of 3,088 grams. Water is poured into a graduated glass container with a 10-by-10 cm square base with a water level of 53.0 cm. The medallion is dropped into the container and the water level rises to 54.6 cm. Find the volume and the density of the medallion.​

Answers

Answer:

Heres my notes

Step-by-step explanation:

May someone plz help me!

Answers

Answer:

#1Net worth = $5480.80Liabilities = $3260.60Assets = $5480.80 + $3260.60 = $8741.40

Assets increase 10%:

$8741.40*1.1 = $9615.54

Liabilities decrease 10%:

$3260.60*0.9 = $2934.54

Net worth now is:

$9615.54 - $2934.54 = $6681.00

Correct choice is J

#2

Total budget:

250 + 825 + 1247 + 385 + 722 + 657 + 250 + 291 = 4627

Transportation and clothing:

657 + 385 = 1042

Percentage of transportation and clothing:

1042 / 4627 * 100% = 23%

Correct choice is C

#3

Gross income:

$1618.30

Deductions:

$19.80 + $1618.30*(0.045 + 0.15) = $335.37

Net pay:

$1618.30 - $335.37 = $1282.93

if the radius of a circle is 5 what is the circumference

Answers

Answer:

31.42

hope this helps

have a good day :)

Step-by-step explanation:

Answer: 31.4

Step-by-step explanation:

I need help with this question

Answers

Answer:

It would also be 78 degrees

Step-by-step explanation:

You would call those two angles "alternate angles"

Answer:

78 degrees

Step-by-step explanation:

mark me brainliest please

write X^2+4x+5 in the form (x+a)^2-b

Answers

Answer:

(x + 2)² + 1

Step-by-step explanation:

Given

x² + 4x + 5

To express in vertex form use the method of completing the square

add/ subtract ( half the coefficient of the x- term)² to x² + 4x

= x² + 2(2)x + 4 - 4 + 5

= (x + 2)² + 1 ← in vertex form

3(x-3) = 20 what is x

Answers

Answer:

x ≈ 9.7

how mny decimal places do u need?

Step-by-step explanation:

3( x-3 )= 20

>3x - 9 = 20

>3x = 29

> x= 9.66666667

Which best explains why |–4| = 4?

Answers

Answer:

Absolute Value

Step-by-step explanation:

|-4| is equal to 4 because Absolute Value is the distance from zero to a number on a number line. The vertical bars "||" in Absolute Value convert the number to it’s positive.

Examples:

|-12| = 12  

|5| = 5

What type of graph is absolute value?

Answers

On [0,∞] the function grows, whereas on [-∞, 0], it shrinks. f has absolute minimum value is 0, and it also has the same relative minimum value (0,0).

What does an absolute value graph look like?

On the graph, you are able to see a "open circle" at it when x< 0. (0, 0).

This is due to the fact that, as we've previously demonstrated, the points at y = x approaching (0, 0) as the x-values approach 0.Since x needs strictly be less than zero on only this stretch, the open circle being drawn in its place.When x ≥  0, a point in (0, 0) is plugged in, thus "plugging" the hole shown by either open circle.Therefore, we get:On [0,∞] the function grows, whereas on [-∞, 0], it shrinks. Function f absolute minimum value is 0, and it also has the same relative minimum value (0,0).F has absolute minimum value is 0, and it also has the same relative minimum value (0, 0). F's highest relative value is zero.

There consequently no absolute maximum value of f due to the graph's infinitely high y values.

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William and Debra Pierce are celebrating their 20th anniversary by having a reception at a local reception hall. They have budgeted $2000 for their reception. If the reception hall charges a $70 cleanup fee plus $30 per​ person, find the greatest number of people that they may invite and still stay within their budget.

Answers

Answer:

The answer is 64 people.

Step-by-step explanation:

If they invite 64 people and all of them show up you multiply that by 30 you get 1,920 add 70 to that and you get 1,990. The reason that 64 is the maximum is because if it were 65 it would go over their budget and if it were below 64 then we wouldn't be getting the greatest number possible.

What is step 3 in problem solving?

Answers

Step 3 is Define the problem Goals.

there are 8 steps, which are as follows,

1- Define the Problem

2- Clarification of the Problem

3- Define the problem Goals

4- Identify main Cause of the Problem

5- Develop a Action Plan

6- Execute that  Action Plan

7- Analyze the Results

8- Continuous Improvements

Problem solving

Problem solving is the method of determining the problem and then clarify the doubts and prepare a action plan and then execute the action plan and find out the desired results and if the results are not appropriate then improve the action plan and your way of doing until you get the desired results.

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Find the volume of this cylinder. Round your answer to the nearest tenth if necessary. Use 3.14 for pi

Answers

Answer:37.68

Step-by-step explanation:

given:

diameter of cylinder =4in.

radius of cylinder=2in.

height of cylinder =3in.

Volume of cylinder=πr^2h

. = 3.14×2×2×3

. = 37.68 in Cube

Answer:

113.1

Step-by-step explanation:

If π= 3.14 And The Equation For This Type Of Problem Is V=πr2h then all you do is do 3.14 times 9 times 4

Where Your Multiplying 3 To Square Of 2 To Get 9, So Take that 3.14 Multiply It By 9 And Then 14, Thus the answer is 113.1

Hope This Helps

What is the diameter of B?
With explanation. No links.

Answers

B = (5/9)A
C = (1/2)(A+B)
C = (1/2)(A+(5/9)A)
C=(5/18)A

A + B + C = 91
A + (5/9)A + (5/18)A = 91

(33/18)A = 91

A = 49 + 7/11

B = (5/9)A

B = (5/9)(539/11)

B = 27 2/9 or 27.22

10. Ashton walked into the restaurant and 4 employees were working registers. Use the trend line equation to predict how long he will wait to place his order.​

Answers

On solving the provided question, we can have that by unitary method the answer will be total salary = 4 * 2340 = $ 9360

What is unitary method ?

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

in a restaurant = 4 employees

salary of 1 = $ 2340

total salary = 4 * 2340 = $ 9360

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Mei needs to cut a 12-inch loaf of bread into slices that are inch thick.
a. How many 2-inch thick slices can Mei cut from the 12-inch loaf of bread?
b. How many inches of bread would be left over?

Answers

a. The number of 2-inch thick slices that Mei can cut from the 12-inch loaf of bread is 6.

b. The inches of bread that would be left over is zero.

How to illustrate the expression?

The information given an be solved by Illustratingnut with an expression. This is simply used to show the relationship between the variables that are provided or the data given regarding an information.

Since Mei needs to cut a 12-inch loaf of bread into slices that are inch thick, the number of 2-inch thick slices that Mei can cut from the 12-inch loaf of bread is:

= 12 / 2

= 6

There'll be no left over

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08 Match the following
Column
Column B
( Ul Janes mill a Goveror-geroveral
ul official documente bl Biotanicalganda
Ili warn Hasting
Ivcustard Apple di preserved
Indial
(CI A History ob British​

Answers

English. ???????????

Christopher has set up a lemonade stand outside his house and sells small cups and large cups of lemonade. Each small cup holds 10 ounces of lemonade and each large cup hold 20 ounces of lemonade. Christopher used 800 ounces of lemonade and sold twice as many small cups as large cups. Graphically solve a system of equations in order to determine the number of small cups sold, x , x, and the number of large cups sold, y y.

Answers

Christopher sold 20 cups of large 20-ounce cups of lemonade

outside his house.

What are linear and non-linear functions?

A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.

Any function whose graph is not a straight line is said to be nonlinear. Any curve other than a straight line can be a graph of it.

An example of a non-linear function is a quadratic function.

Given, Christopher has set up a lemonade stand outside his house and sells small cups and large cups of lemonade.

Small cups sold is x and the number of large cups sold is y.

Each small cup holds 10 ounces of lemonade and each large cup holds 20 ounces of lemonade and he sold 800 ounces.

Therefore,

10x + 20y = 800...(i)

He also sold twice as many small cups as large cups.

Therefore,

2y = x...(ii)

10(2y) + 20y = 800.

20y + 20y = 800.

40y = 800.

y = 20.

So, He sold 20 cups of large lemonade.

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Giving brainlist to whoever answers

Answers

Answer:

Diagram D.

Step-by-step explanation:

Answer:

Its the fourth diagram

Letter D

HOPE I HELPED! :)

Difference of functions

Answers

Every equation is different the the x is different meaning

There are red, yellow, blue and green counters in a bag. The probability of picking red is 0.25. The probability of picking yellow is 0.15. The probability of picking blue is 0.2. Work out the probability of picking green? *

Answers

Answer:

The probability of picking a green is 0.4

Step-by-step explanation:

Mathematically, when we talk of the highest possibility an event can have, we have the answer as 1

Hence, when we add up all the probabilities, it is expected that we arrive at a value equal to 1

Thus, the probability of selecting each individual colors add up to 1

since we have the probability of three colors, the probability of the fourth will be the sum of the others subtracted from 1

we have the probability of picking a green as;

1 - 0.25 - 0.15 - 0.2 = 0.4

The quotient of 25 and 5 increased by 3

Answers

Answer: 8

Step-by-step explanation: Based on the given conditions, formulate 25/5+3 Reduce  the sum or difference: to 8 therefore the answer is 8

Answer:

down below

Step-by-step explanation:

The quotient means the total amount that comes from dividing two things. In this case, the problem is asking for 25 and 5 to be divided. 25 divided by 5 is 5. You can check this by multiplying 5 and 5 to get 25. So, you know it's right. Now, take 5 and add 3 to it. 5 + 3 = 8. So, the answer is 8.

Hope this helps! :)

Find the length of the third side. If necessary, round to the nearest tenth

Answers

Answer:

I'm pretty sure the answer for this is 28 :))

AREA OF CIRCLES HELP PLS​

Answers

Answer:

432ft^2

Step-by-step explanation:

24/2=12

3 x 12 x 12=432

pi multiply by 12 because the diameter is 24 then we divide it by 2 so 24/2 = 12 , then we use the calculator
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