1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Aneli [31]
2 years ago
10

Write the equation of the parabola that has the vertex at point (2,-11) and passes through the point (0,5).

Mathematics
1 answer:
aleksandr82 [10.1K]2 years ago
7 0

~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}

\stackrel{vertex}{(\stackrel{h}{2}~~,~~\stackrel{k}{-11})}\qquad y=a(x-2)^2-11\qquad \qquad \textit{we also know that} \begin{cases} x=0\\ y=5 \end{cases} \\\\\\ 5=a(0-2)^2-11\implies 16=4a\implies \cfrac{16}{4}=a\implies 4=a \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y=4(x-2)^2-11~\hfill

You might be interested in
The sum of three numbers is 120 the first number is five less than the second the third number is three times the second what ar
VladimirAG [237]

Answer:

1st number: 20

2nd number: 25

3rd number: 75

Step-by-step explanation:

x + y + z = 120

x = y - 5

z = 3y

plug that in!

(y-5) + y + (3y) = 120

remove the parenthesis (I used them to show you what I was replacing), and add like terms.

5y - 5 = 120

move -5 to the other side

5y = 120 + 5

5y = 125

divide both sides by 5

y = 25

now that you have one number, use the equations from before to solve for the rest!

x = (25) - 5

z = 3(25)

_____________________________________________________

x = 20

y = 25

z = 75

4 0
3 years ago
1. Fill in the blanks:
Rom4ik [11]

the answer from, (a to e) is 10

7 0
1 year ago
Read 2 more answers
Customers of a phone company can choose between two service plans for long distance calls. The first plan has no monthly fee but
alex41 [277]

Answer:

380

Step-by-step explanation:

.20x = 19 + .15x

.05x = 19

x = 380

5 0
3 years ago
Estimate the difference: 3 2/5 - 5/8
svet-max [94.6K]

Answer: 3

Step-by-step explanation: Half of 5 is 2.5 so 3 2/5 will be estimated to a 3 1/2 and 5/8 is very close to 4 which is half of 8. so 5/8 will be estimated to 1/2! Both of them subtracted is gonna be 3 because 1/2 - 1/2 is 0!

Have a great day!

5 0
2 years ago
Ill give the brainliest
olga2289 [7]

Answer: I think its A and C

Step-by-step explanation:

Please mark me brainliest

8 0
3 years ago
Other questions:
  • Can someone answer this Algebra question asap? thanks!!<br> A) -4<br> B) -1/4<br> C) 1/4<br> D) 4
    15·2 answers
  • On a final exam, each multiple-choice question is worth 4 points and each word problem is worth 8 points. Lorenzo needs at least
    8·2 answers
  • -6+10x=x+12 <br> solve for X
    6·2 answers
  • Please help !! Hurry
    12·1 answer
  • 9.014 which digit is in the hundredths place
    13·2 answers
  • A sweater is regularly $32 it is 25% off the original price this week
    14·1 answer
  • Use a calculator to find a decimal approximation for the following trigonometric function.
    14·1 answer
  • Need to find area, perimeter please
    11·1 answer
  • A television is measured by its diagonal. If the height of a 70 inch television is 42 inches, what is the width? ​
    5·1 answer
  • Find a number c such that the polynomial
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!