HELP PLEASE AND SHOW WORK. write a quadratic function in the form f(x)=a(x-h)^2 + k whose graph has its vertex in the second quadrant. name the vertex, give the equation of the axis of symmetry and tell whether the graph opens up or down, graph your function.

Answers

Answer 1

Answer:

The function f(x)=a(x-h)² + k is the parabola with vertex:

(h, k)

If the vertex is in the second quadrant, the h < 0 and k > 0

It can open up or down, so a ≠0, it opens up if a > 0, opens down if a < 0

The axis of symmetry is the line parallel to y-axis and passing through the vertex, so it would be the line:

x = h

Now let's assume h = -5, k = 2, a = 1, then our function is:

f(x) = (x + 5)² + 2

The graph is attached and it opens up as a = 1 > 0

The line of symmetry is

x = - 5
HELP PLEASE AND SHOW WORK. Write A Quadratic Function In The Form F(x)=a(x-h)^2 + K Whose Graph Has Its
Answer 2

The equation is

y=(x+3)²+6

As a is positive the parabola opening upwards

(-3,6) is vertex

Axis of symmetry

x=-3.

Graph attached

HELP PLEASE AND SHOW WORK. Write A Quadratic Function In The Form F(x)=a(x-h)^2 + K Whose Graph Has Its

Related Questions

Over what interval is the function in this graph increasing?

Answers

Answer:

D

Step-by-step explanation:

Expand 3(x + 4)
Don’t really understand it pls help

Answers

Answer: 3x +12

Step-by-step explanation:

It is asking to multiply everything is the parenthesis by 3

So 3x + 12

3x+12 Hope this helps :D

Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms.
7z^4– 6z- 6z^2

Answers

Standard form: 7z^4-6z^2-6z

This IS a polynomial, it's degree is 4 and has 3 terms

PLSSS HELP!!!!!!
Use a calculator to find the measure of

Answers

Answer:

A) 44.1

Step-by-step explanation:

I used omnicalculator. Should count because it's still a calculator.

Find the area of the shape shown below.

PLEASE HELP FAST

Answers

Area of the shape is 12.5

A game decreased in price by 1/6
After the reduction it was priced at £75.
What was the original price of the game?

Answers

Answer:

Step-by-step explanation:

original price is x

Then the decreased price will be ' x - x/6'

= 5x/6

5x/6= 75

x= (75×6)/5

x= 90

original price = £90

Answer:

£90

Step-by-step explanation:

Since it was decreased by 1/6, it is 5/6 of the original price.

divide 75 by 5 to get 15.

15 is 1/6 of the price.

To get the full price, (6/6) multiply 15x6 and you will get 90.

The equation of the scatter plot trend line is y = -1700x + 32000 where y is the value of the car in dollars and x is the age of cars in years. Use the trend line equation to predict the value of a car after 7 years.

Answers

Answer:

20100

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Given equation

y = -1700x + 32000

Where x is the age of car and y is the value of the car.

Then value after 7 years can be calculated as follows,

y = -1700 (7) + 32000

y = -11900 + 32000

y = 20,100

So, the value of car after 7 years will be 20100.

A circular patio has a radius of 4 yards. The patio is expanded so that the radius increases by 2 yards.

1) What is the area of the original patio? (blank)

Square yards

2) What is the area of the new patio? (blank)(

Square yards

3) By how many square yards does the area of the patio increase? (blank)

Square yards

Answers

Answer:

50.29 yards^2

113.14 yards^2

62.85 yards^2

Step-by-step explanation:

Area of a circle = πr²

π = pi = 22/7

r = radius

original area

(22/7) x 4² = 50.29 yards²

New area

radius = 4 + 2 = 6

(22/7) x 6² = 113.14 yards²

Increase in the area of the patio = 113.14 yards² - 50.29 yards²=62.85

please help solve, riding on the dirt path from the Jones Beach tower to Tovah is 0.34 Miles

Answers

Answer:

ik information jkvhov kdgon

Wanderella Skimpole has a dish that is a right rectangular prism. Its width is 10 inches, and its length is 16 inches. If the volume of the dish is 1,120 in3 , what must be its height?

Answers

Given:

Width of a rectangular prism = 10 inches

Length of the rectangular prism = 16 inches

Volume of the rectangular prism = 1,120 cubic inches

To find:

The height of the rectangular prism.

Solution:

We know that the volume of a rectangular prism is:

[tex]V=l\times w\times h[/tex]

Where, l is length, w is width and h is height.

Putting [tex]l=10,w=16,V=1120[/tex] in the above formula, we get

[tex]1120=10\times 16\times h[/tex]

[tex]1120=160\times h[/tex]

[tex]\dfrac{1120}{160}=h[/tex]

[tex]7=h[/tex]

Therefore, the height of the rectangular prism is 7 inches.

Fill the blank space in the pattern.
1,5,25,-,625

Answers

Answer:

-125,-626

Step-by-step explanation:

please mark brainliest

HELP DUE IN 15 MINS!

Y=??

Answers

Answer:

y = 70 degree's

Step-by-step explanation:

180 is a straight line therefore the equation would read ...

180 = 110 + y

subtract 110 from both sides ...

70 = y

Answer:

y = 70

Step-by-step explanation:

This is a supplementary angle so:

y + 110 = 180

y = 180 - 110

y = 70

A salesman is paid a salary of $2500 per month and a commission of 10% on all sales above $7000. Calculate his gross salary if his sales for a particular month is $16500

Answers

Answer:

$4150

Step-by-step explanation:

Given data

Salary= $2500

Commission= 10%

Sales=  $16500

Let us find the amount of the commission made

=10/100*16500

=0.1*16500

=$1650

Hence the total amount made for the month is

=commission + salary

=1650+2500

=$4150

Round 13 4/87 to the nearest half

Answers

Answer:

30.936344

Step-by-step explanation:

i honestly dont know the real answer but here that the number

Henry had $22 and Ben had $17. Henry spent twice as much as Ben and was left with half as much as Ben. The amount of money that Ben spent is $____.

Answers

Answer:

Ben spent 9$

Step-by-step explanation:

Ben=x Henry=2x

17-x= 2(22-2x)

17-x=44-4x

-x+4x=44-17

3x=27

x=27/3

x=9 $ Ben spent

A teacher likes to bake cookies and she regularly brings some to school to share with both students and teachers. One day, the teacher brought 72 cookies and distributed 32 to the students and the remaining number to the teachers. Given the scenario above, determine the ratio of teacher cookies to student cookies. Write your ratio with integers in reduced form.​

Answers

Answer:

students 4:9

teachers 5:9

Step-by-step explanation:

students 32:72 = 4:9

teachers 40:72 = 5:9

Find the geometric mean between 3 and 15(Round to 1 decimal place)

Answers

Answer:

6.7

Step-by-step explanation:

Let x = the geometric mean

Then, 3/x = x/ 15

[tex]x^{2}[/tex] = 45

x = [tex]\sqrt{45}[/tex] = 6.7

If someone wants to buy an item thats 4$ and a other item thats 14$ and a thrid item thats 6$ and they saved 10$ and he was given 1$ How much more money dose he need to buy all

Answers

Answer:

He needs $13 more to buy all.

Step-by-step explanation:

With the information provided, you have to add the prices of all the items and subtract the amount they saved and the amount he was giving to be able to know the money he still needs to buy all:

(4+14+6)-10-1=24-10-1=13

According to this, the answer is that he needs $13 more to buy all.

Find the 11th term of the geometric sequence 6, -18, 54, ...

Answers

Answer:

354294

Step-by-step explanation:

Use the formula

[tex]a_{n} = a_{1} r^{n - 1}[/tex]

In your problem [tex]a_{1}[/tex] = 6   r = -3    n = 11

11th term = [tex]a_{11}[/tex] = [tex]6(-3)^{11 - 1} = 6(-3)^{10}[/tex] = 6(59049)

                       = 354294

Bell ringer
Which number below does NOT represent an integer?
А -4
B 1
C -6
D 0.25

Answers

Answer:

D.) 0.25

Step-by-step explanation:

Because it is not a whole number and decimals don't count as integers

Will give brainliest to whoever answers the quickest

Answers

Answer:

12.71in

step explanation:

The Length of an arc given is expressed as;

A = theta/360 * 2πr

10 = 45/360 * 2 * 3.14r

10 = 1/8 * 6.28r

Cross multiply

10 * 8 = 6.28r

80 = 6.28r

r = 80/6.28

r = 12.74in

Hence the radius is 12.71in

One fourth the sum of x and ten is identical to x minus 4."

Answers

Answer and Step-by-step explanation:

We are given the word format of an equation.

Let's right it out in numerical form.

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

The first part says One fourth the sum of x and 10

The sum of x and 10 would be shown as x + 10, and one fourth of that means that [tex]\frac{1}{4}[/tex] is multiplying (x + 10).

In this case, identical would mean equal to.

So, [tex]\frac{1}{4}[/tex](x + 10) would be = to something.

It says that it is identical to x minus 4 (x - 4).

[tex]\frac{1}{4} (x + 10) = x - 4[/tex] is the equation.

#teamtrees #PAW (Plant And Water)

Help fast 30 points easy question ❗️❗️❗️❗️❗️❗️❗️

Answers

Answer:

I'm 95% sure it's this: x>-2

Step-by-step explanation:

don't get mad at me if I'm not right but I think it's right

PLSS HELP THE TEACHER IS ASKING FOR MY ANSWERS CUZ I WAS SUPPOSED TO DO IT AND I WASNT PREPARED PLSSS HELP IM NEXT AND CAN SOMEONE PLS TELL ME WHAT TO DRAW LIKE SHADE? A PIC OF EVERYTHING SHADED AND DRAWN WOULD BE RLLY NICE TYSM HAVE A GOOD DAY! BUT PLS HELPP

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Answer:

write on each line....

equivalent, not equivalent, not equivalent

equivalent, not equivalent, equivalent

not equivalent, not equivalent, equivalent

Shade in each with what ever the fraction says to, for example 2/4 only shade in 2 boxes

how to do this question plz answer ​

Answers

9.95^2 x 29.8 = 2,950.2745 and Yes the answer is sensible.

Marcy has earned 18 rewards points at the movie theatre and will earn 3 points for each additional movie. Which equation represents the relationship between y, the total points, and x the number of movies?

Answers

Answer:

Think its B (y=18x+3)

Step-by-step explanation:

find the measure of each angle if C D​

Answers

angle C is 72 degrees and angle D is 108 degrees

Answer:

1=72   ,   2=108   , 3= 72   , 4=108

Step-by-step explanation:

c parallel to d means that 108 and 1 are adjacent angles , sum 180

therefore ang 1 = 180-108=72

2=108, corresponding angles,  

same as above for 3,  angle 3= 180-108 =72

2 and 4 are vertically opposite and are equal.

four students can wash a car in 15 minuets.if the time varies inversely with the number of students washing the car, how many minutes will it take three students to coplete that same job

Answers

Answer:

20

Step-by-step explanation:

There are 144 pencils in a box. If each member of the class gets 8 pencils, there will be no pencils left over. How many members of the class are there? Write an equation to represent the situation. Then solve the equation to answer the problem.





Pls help ASAP ILL GIVE BRAINLIST

Answers

Answer:18

Step-by-step explanation:

When Charlotte installed a fence along the 200 foot perimeter of her rectangular backyard, she left an opening for a gate. In the diagram below, she used x to represent the length, in feet, of the gate. What is the value of x

Answers

Answer:

 x = 10

Step-by-step explanation:

P = 2(60 + x) + 2(30) = 200

   = 120 + 2x + 60 = 200

        2x + 180 = 200

          2x = 20

            x = 10

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