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
mote1985 [20]
3 years ago
14

The stream of water from a fountain follows a parabolic path. The stream reaches a maximum height of 12 feet, represented by a v

ertex of (8,12)​ , and lands 16 feet from the water jet, represented by (16,0)​ . Write a function in vertex form that models the path of the stream
Mathematics
2 answers:
tia_tia [17]3 years ago
8 0

Answer:

y=-3/16(x-8)^2+12

Step-by-step explanation:

Refer to the vertex form equation for a parabola:

y=a(x-h)^2+k where (h,k) is the vertex.

Therefore, we have y=a(x-8)^2+12 as our equation so far. If we plug in (16,0) we can find a:

0=a(16-8)^2+12

0=64a+12

-12=64a

-12/64=a

-3/16=a

Therefore, your final equation is y=-3/16(x-8)^2+12

Stels [109]3 years ago
7 0

Answer:

y = (-5.33)(x - 8)^2 + 12

Step-by-step explanation:

The graph is a parabola which opens down and has its vertex at (8, 12).  We can immediately write y = a(x - 8)^2 + 12, knowing that if x = 8, y = 12.  To find the coefficient '1', substitute 16 for x and 0 for y:

0 = a(16 - 8)^2 + 12, or

-64a = 12, or a = -64/12 = 5.33

Then the desired function is:

y = (-5.33)(x - 8)^2 + 12

You might be interested in
On a coordinate plane, a curved line crosses the x-axis at (negative 1, 0) and crosses the y-axis at (0, 0.25). The line exits t
creativ13 [48]

Answer:

b

Step-by-step explanation:

hope this helps

8 0
3 years ago
Read 2 more answers
What is 24 percent of 289
kap26 [50]
It would be: 289*24/100 = 6936/100 = 69.36
7 0
3 years ago
Need help po, needed today. Thanks! ​
Dimas [21]

Answer:

<h2>question is not up down this is incorrect questions</h2>
8 0
2 years ago
Can someone help I have a picture ?
aleksklad [387]

Answer:

Yes! Wheres the pic? I'll awnser in the comments on this!

4 0
3 years ago
Help me please :’) thanks
iren [92.7K]

Answer:A

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Other questions:
  • HELPPPPP!!!! ASAP
    14·1 answer
  • Devaughn is 15 years older than Sydney. the sum of their ages is 113. what is sydneys age?
    15·2 answers
  • 2. 6x - 7х6<br>3. 2х - 9х5<br>5. () ()"<br>6. 2x'y-7 - 3x-2y?<br>7. xу - 2хбуз<br>.<br>.​
    14·1 answer
  • Which of the following is a solution of x^2 + 2x + 8?
    5·1 answer
  • CORRECT ANSWER GETS 25 BRAINIEST
    6·2 answers
  • 2 (a + 24) = 30 what is a
    7·1 answer
  • What is the partial product for 43x17
    15·1 answer
  • The coffe shop made 18 lattes on Tuesday. That was three times as many as they made on Monday. The barista uses 2/3 cup of milk
    13·1 answer
  • What is the domain of f(x) = 2log(x + 6) - 10?
    11·1 answer
  • 48 divided by 6 - 3 3/4
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!