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
Alex
3 years ago
6

Write the equation of the parabola in vertex form.vertex (3,2), point (2,-2)

Mathematics
1 answer:
kiruha [24]3 years ago
7 0

Answer:

y=-4(x-3)^2+2

Step-by-step explanation:

y=a(x-p)^2+q - equation of the parabola in vertex form

from vertex (3,2) we know that p=3, \ q=2

from point (2,-2) we know that x=2, \ y=-2

inserting p=3, q=2, x=2 and y=-2 to the equation y=a(x-p)^2+q, we calculate a

-2=a(2-3)^2+2\\ -2=a\cdot(-1)^2+2\\ -2=a\cdot1+2\\ -2=a+2\\ -2-2=a\\ -4=a\\ a=-4

insert a=-4, p=3 and q=2 to the equation

y=-4(x-3)^2+2

You might be interested in
Solve the system by Substitution
dusya [7]

Answer:

(-1,0)

Step-by-step explanation:

I used a graphing calculator and that is the solution

4 0
3 years ago
According to Home Water Works, the average American shower uses 17.2 gallons and lasts about 8.2 minutes. To the nearest tenth o
bearhunter [10]

\huge\pink {\underline { \overline{ \bf \mid\: \: \: \: \: Question\: \: \: \: \mid}}}

Home Water Works says that in most homes, showers are the third-largest user of water after toilets and clothes washers. The average American shower water usage is 17.2 gallons with the average shower length being 8.2 minutes. The average flow rate is 2.1 gallons per minute.

\huge\mathbb\colorbox{white}{\color{pink}{Hope\:It\:Help\:U}}

3 0
2 years ago
Read 2 more answers
The parking lot has a total of 60 cars and trucks. The ratio of cars to trucks is 7:3.
Mumz [18]
60
7:3
7+3=10
60/10=6
6*7=42
6*3=18
42 cars
18 trucks
5 0
3 years ago
Read 2 more answers
Is 23 and 25 co-primes
MariettaO [177]

Answer:

yes because they have one as a company factor

7 0
3 years ago
In what time the compound amount of Rs 60000 at 10% rate is rs 79860?​
Ksenya-84 [330]

Answer:

P= Rs 60000

A= Rs 79860

T=1 & 1/2 year = 3/2 years

    = 3/2 x 2 = 3 half years

R= ?  

Applying the formula A= P (1+r/100)^T

           79860  = 60000 (1+ r/100)^3

                  79860/60000 = (1+r/100)^3

                  1331/1000 = (1+r/100)^3

root(3)(1331/1000) = (1+r/100)

                     11/10 = 1+r/100

                     11/10 -1 = r/100

                      1/10 = r/100

                       r= 10 %

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or par
    8·1 answer
  • of 13 possible books, you plan on taking 7 with you on a vacation. How many different collections of 7 books can you take?
    9·1 answer
  • 3y- 12x = 18<br> 2y-8x= 12
    6·2 answers
  • Evaluate BC for A = 5, B = -4, and C = 2.<br> -8<br> 6<br> -6
    5·1 answer
  • A shop has a 3 for 2 offer on chocolate bars The normal price of a chocolate bar is 72p Sian gets 3 chocolate bars from the shop
    11·1 answer
  • Find the radius of the button. the button: 3.5 inches
    6·1 answer
  • I just beated my stuffed dog to death<br><br> i feel great
    6·2 answers
  • B. 4a’(a? – b?) and 9a’(a? – bº) LCM of this expression<br><br><br><br>​
    11·2 answers
  • if the slopes of the lines in the system are equal and their y-intercepts are also equal, then the system is blank and blank
    6·1 answer
  • A mother has R100 to share equally amongst her 7 children. Is this possible? Explain your answer.​
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!