Find the equation of the quadratic function with vertex (-2,18) passing through (-5,0)?

Answers

Answer 1

Answer:

[tex]y-18=-2(x+2)^2[/tex]

Step-by-step explanation:

Equation of the Quadratic Function

The vertex form of the quadratic function has the following equation:

[tex]y-k=a(x-h)^2[/tex]

Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.

It's been given the vertex of the parabola as (-2,18):

[tex]y-18=a(x+2)^2[/tex]

Now substitute the point (-5,0) and find the value of a:

[tex]0-18=a(-5+2)^2[/tex]

Operating:

[tex]-18=a(-3)^2[/tex]

[tex]-18=9a[/tex]

Solving for a:

[tex]a = -18 / 9[/tex]

a = -2

Thus, the equation of the quadratic function is:

[tex]\mathbf{y-18=-2(x+2)^2}[/tex]


Related Questions

2 More Problems! 20 points! AND BRAINLIEST TO CORRECT ANSWER!

Answers

Answer:

First Screen:

1 & 3

Second Screen::A

Step-by-step explanation:

HOPE THIS HELPS!!

In the figure shown, which theorem can be used to show that △ABC ≅ △DEF?

Answers

Answer:

option C, AAS triangle congruence theorem

hope it helps you

AAS triangle congruence theorem is used to show ΔABC≅ΔDEF

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

We need to find which theorem is used to show ΔABC≅ΔDEF

The two triangles are congruent.

AB=DE

BC=FE

CA=DF

and ∠A=∠D

∠B=∠E

If any two angles and side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle

By AAS, When two angles and a non-included side of a triangle are equal to the corresponding angles and sides of another triangle, then the triangles are said to be congruent.

Hence AAS triangle congruence theorem is used to show ΔABC≅ΔDEF

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ2

Write an expression that represents the given statements (use N to represent “a number”):

a) Two times a number plus three


b) Four less than a number


c) A number minus 5, then multiplied by 6

Answers

a) 2n + 3

b) n - 4

c) (n - 5) 6

45% of 720 feet


Plzzz heelllp

Answers

Answer:

324 feet

Step-by-step explanation:

Brainliest pls

Answer:

324

Step-by-step explanation:

You can either do 0.45·720 or make 45% into a fraction (45/100) and cross cancel with 720.

What is the slope of y = x + 5

Answers

The slope of y=x+5 is 1

PLEASE HELP! I'M STUCK!

Answers

I hope this attachment helps!!

Mr. Barnes hired a plumber to fix a leak. The total cost, in dollars, that the plumber charges for a job can be modeled by the function p(x)= 45+35x , where x represents the time, in hours, that the plumber used to complete the job. Mr. Barnes budgeted $220 to pay the plumber for the job. After how many hours will the cost of the job exceed Mr. Barnes's budget?
WILL PICK THE BRAINLEST.

Answers

After 5 hrs not exactly 5 hrs because that’s exactly his limit

at a candy store you get 7 giant lollipops for $16.12 how much would it cost to buy 6 lollipops?​

Answers

Answer:

$13.80

Step-by-step explanation:

Divide $16.12 by 7 which equals 2.30, then multiply 2.30 by 6 to get ^^

7 (4 + 9) help ols ok jjjj

Answers

Answer:91Step-by-step explanation:7 x 4 + 7 x 9 28 + 63 = 91Hope this helps!!

THE DIFFERENCE OF TWO NUMBERS IS 17. IF THE GREATER NUMBER IS 32, FIND THE SMALLER ONE. (STEP BY STEP)​

Answers

difference means subtracting. if thr greater number is 32 then what minus 32 equals 17? 32-15=17

Answer:

15

Step-by-step explanation:

think the number is x

according to the question

32-x=17

-x=17-32

-x=-15

x=15 (divide both side by -1)

Find the missing value of x in the arithmetic sequence below.
x, 16, 20, 24, 28

Answers

Answer:

x=12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

just find the arithimetic sequence and count backwards have a great day

25, of a box of multi-color cap erasers are green. If there are 3 green erasers, how many erasers are in the box?

Answers

Answer:

0.75

Step-by-step explanation:

'Percentage' is obtained by multiplying 3 by 25%.

25% × 3 =

(25 ÷ 100) × 3 =

(25 × 3) ÷ 100 =

75 ÷ 100 =

0.75;

18x + 18
1
18 1
12
+18 Substitute.
+ 18
Multiply.

Answers

Answer:

18 x+18

Step-by-step explanation:

did you get a number that it is equals to caz i dont understand how you are suppose to work out 18× +18

If you have two points, you can only pick the first one to find the equation.

True

False

Answers

Answer:

well, it really depends but im pretty sure its false. you can start with either one and find the equation

Step-by-step explanation:

The sum of 6 times a number and 8 is 3.

Answers

Answer:

8 times 3 plus 6

Step-by-step explanation:

See the attachment....

En la casa de la familia de Trevor viven 6 personas (incluyendo a Trevor) y hay 3 baños. En el último mes, cada
persona se bañó durante un promedio de 480 minutos y utilizó un promedio de 72 litros de agua al bañarse
(en todo el mes). El agua cuesta 0.20 dólares por litro.
¿Cuánto dinero gastó la familia de Trevor en total en agua al bañarse el mes pasado?
dólares.

Answers

Answer:

La familia de Trevor gastó 86.4 dólares al bañarse en todo el mes.

                                                       

Step-by-step explanation:

El costo del agua viene dado por:

[tex] C = \$0.20/L [/tex]   (1)

Y cada persona de la familia de Trevor gasto en promedio 72 litros de agua. Si la familia tiene 6 integrantes (incluido Trevor) entonces:

[tex] A = 72 L*6 = 432 L [/tex]    (2)

Entonces, toda la familia usó 432 litros de agua en promedio en todo el mes.

Para saber el dinero total gastado por la familia debemos multiplicar la ecuación (1) y la ecuacion (2):

[tex] C = \$0.20/L*432 L = \$86.4 [/tex]

Por lo tanto, la familia de Trevor gastó 86.4 dólares al bañarse en todo el mes.

Espero que te sea de utilidad!                                    

Usando proporciones, hay que la familia de Trevor gastó 86.4 dólares en total en agua al bañarse el mes pasado.

En la casa, hay 6 personas.Cada persona utilizó un promedio de 72 litros de agua.

Por eso, en todo, 6 x 72 = 432 litros de agua fueron usados.

Cada litro cuesta $0.2. De esa forma, el total de dinero gasto es de:

T = 0.2 x 432 = 86.4.

La familia de Trevor gastó 86.4 dólares en total en agua al bañarse el mes pasado.

Un problema similar es dado en https://brainly.com/question/20453191

Passing through (5,7)
parallel to y = x + 6

Answers

Y=x+2 is the correct answer:)

Answer:

hil how are you doing

Step-by-step explanation:


I WILL GIVE BRAINLY

Enter values for x and y in the table to plot points in the graph.

Answers

Answer: positive

Y=0.04x-0.77

by-step explanation

(-5)-6 find the different

Answers

Answer:

-11

Step-by-step explanation:

−5−6

=−5−6

=−5+−6

=−11

Hope this Helps!

Describe the slope of the line then find the slope plzzz help I’m bad at math

Answers

It’s undefined slope


Rice sold
GH 56.00 per bag.
trader bought
some bags of
rice and paid GH 1,344.00, how
bags
of rice
did the
many
trader buy?​

Answers

Answer:

24 bags of rice

Step-by-step explanation:

for these kinds of problems you just have to divide.

1,344.00 ÷ 56.00 = 24

9514 1404 393

Answer:

  24 bags

Step-by-step explanation:

Let b represent the number of bags of rice. Then their total cost is ...

  56b = 1344

  b = 1344/56 = 24 . . . . . divide by the coefficient of b

The trader bought 24 bags of rice.

Whoever answers this I will mark you Brainliest or else I’ll report you

Answers

Answer:

Uhh ok

Step-by-step explanation:

Answer:

yea

Step-by-step explanation:

ok the answer  is ok

A store sells ice cream with assorted toppings. They charge $3.00 for an ice cream, plus 50 cents per ounce of toppings.

How much does an ice cream cost with 4 ounces of toppings?-------()
How much does an ice cream cost with 11 ounces of toppings?----()
If Elena's ice cream cost $3.50 more than Jada's ice cream, how much more did Elena's toppings weigh?-------()

Answers

Answer:

1st question: $2.00 2nd question: $5.50 3rd question: 7 oz.

Step-by-step explanation:

4 x 50= 2 = $2.00

11 x 50= 550 = $5.50

7 x 50= 350 = $3.50

Which angles are corresponding angles?

Answers

Answer:

lmj and ijh

Step-by-step explanation:

Can somebody plz answer both questions! only if u done it before thanks!

WILL MARK BRAINLIEST WHOEVER ANSWERSS:DD

Answers

Answer:

48% is A and since i like quarters more than nickels and dimes its c for 30

Step-by-step explanation: Because I said so.

Answer:

To calculate the average you must add the percentages up and divide by the number of percentages. So, 52+28+34+95+16+63=288/6=48. The percentage is 48%.

For the second questions you take 100 divide by 3 since there are 3 coins and you get an 33.3%. But, since you can't have 0.3 of a coin. So, since you started with a nickel, you would end with a nickel giving you a percentage of 34% and the dimes and quarters a percentage of 33% each.

I WILL MARK BRAINIEST

Answers

Answer:

 X=32°

 Y=122°

Z=58°

Step-by-step explanation:

 X+73°+75°=180° (interior angles of a triangle adopts to 180°)

 X=180°-148°

 X=32°

 32°+Y+26°=180°(interior angles of a triangle adopts to 180°)

 Y=180°-58°

 Y=122°

Y+Z=180(angle on straight line adopts to 180°)

Z=180°-122°

Z=58°

Answer:

x=32, y=122, z=58

Step-by-step explanation:

[tex]Lets\ consider\ the\ quadrilateral\\Angle\ 1=73\\Angle\ 2=75\\Let\ angle\ 3\ be\ w\\\ We\ observe\ that,\\26+w=180 [Linear\ Pair]\\w=180-26\\w=154\\Hence,\\w+z+73+75=360[Angle\ Sum\ Property\ of\ A\ Quadrilateral]\\z+154+73+75=360\\z+302=360\\z=58[/tex]

[tex]We\ now\ observe\ that,\\Angle\ z\ and\ Angle\ y\ form\ a\ linear\ pair\ and\ hence\ are\ supplementary.\\z+y=180\\58+y=180\\y=122[/tex]

[tex]Hence,\\As\ y,26\ and\ x\ form\ a\ triangle, \\Through\ Angle\ Sum\ Property\ of\ a\ triangle\ they\ are\ supplementary \\Hence,\\26+x+y=180\\26+x+122=180\\x+148=180\\x=32[/tex]

Anyone know the answer?

Answers

Answer:7

Step-by-step explanation: The range is the value of the difference of the highest and lowest numbers. As I can see here, the highest is 9, while the lowest is 2, so 9-2=7

zero product property:

(x-4)(-5x+1)=0

lesser x=

greater x=

Answers

Answer:

lesser x= (x-4)greater x=(-5x+1)

12 + 4x – 4 = 12x – 9 – 8x

Answers

Answer:

No solution

Step-by-step explanation:

Basically the simplified equation is 17 = 0, which is wrong so there is no solution.

what is the value of this expression below when x=3 and y =8
6x+10y ? PLEASE DONT WASTE MY TIME

Answers

Answer:

98

Step-by-step explanation:

6(3)+10(8)

=18+80

=98

PLS GIVE BRAINLIEST

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