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
posledela
2 years ago
5

Write the equation of the parabola in vertex form. Vertex (1,2) point (2,-4)

Mathematics
1 answer:
lozanna [386]2 years ago
8 0

Answer:

f(x)=6(x-2)^2-4

Step-by-step explanation:

The equation in vertex form is

f(x)=a(x-2)^2 - 4

Substituting in the coordinates (1,2) to find a,

2=a(1-2)^2 - 4 \\ \\ 2=a-4 \\ \\ a=6 \\ \\ \therefore f(x)=6(x-2)^2-4

You might be interested in
Laura and Brent paddled a canoe 6 miles upstream in four hours. The return trip took three hours. Find the rate at which Laura a
mixas84 [53]
Call the rate in still water vs;
upstream you have: vs-v=6/4
downstram you have: vs+v=6/3
where v is the rate with which the river flows.
rearranging:
vs-v=3/2
vs+v=2
from the second you have v=2-vs substitute into the first:
vs-2+vs=3/2
2vs=7/2
vs=7 mi/hr
5 0
3 years ago
Will mark brainliest and 10 points
k0ka [10]

Answer:

4

Step-by-step explanation:

y=4x-3

slope=4

y=5

slope=0

6 0
3 years ago
Read 2 more answers
Know how to calculate sample size: A restaurant would like to estimate the average $ amount of a take-out order. The standard de
Ne4ueva [31]
Easy it’s c duhhhhhhh girl it’s C
8 0
3 years ago
A particular train is 25 feet tall. A model of the train was built with a scale of 4 inches which is equal to 5 feet. How tall i
sergeinik [125]
The answer is 20in. You multiply 4 by 5 because 5x5 is 25 so the answer is 20
3 0
3 years ago
4) A window is in the form of a rectangle surmounted by a semicircle. The rectangle is of clear glass, whereas the semicircle is
lisov135 [29]

Answer:

l=0.1401P\\

w =0.2801P

where P = perimeter

Step-by-step explanation:

Given that a window is in the form of a rectangle surmounted by a semicircle.

Perimeter of window =2l+\pid/2+w

P= 2l+3.14 (w/2)+w

Or P = 2l+2.57w\\l = \frac{P-2.57w}{2}

To allow maximum light we must have maximum area

Area = area of rectangle + area of semi circle where rectangle width = diameter of semi circle

A=lw +\pi \frac{w^2}{8}

A=lw +\pi \frac{w^2}{8}\\A=w*\frac{P-2.57w}{2}+0.3925w^2\\2A= Pw-2.57w^2+(0.785w^2)\\2A' = P-5.14w+1.57 w\\2A" =-5.14+1.57

Hence we get maximum area when i derivative is 0

i.e. P-5.14w+1.57 w=0\\3.57w =P\\w = \frac{P}{3.57} =0.2801P

l = \frac{P-2.57w}{2}\\l = 0.1401P

Dimensions can be

l=0.1401P\\w =0.2801P

5 0
3 years ago
Other questions:
  • NEED HELP ASAP!!!! WILL GIVE BADGE
    15·1 answer
  • There are 36 chairs to split evenly between 9 tables. How many chairs will be at each table?
    12·2 answers
  • PLEASE HELP<br> ———————-
    14·1 answer
  • Subtract 11b^2-4b+7 from b^2+8b-9
    6·1 answer
  • You are offered an item for $13.79. If the seller states he normally sells the same item for $14.95, what percentage discount is
    14·2 answers
  • (x4- 4x2 + 5x - 1) = (x + 2)<br> Solve using remainder Therom
    12·1 answer
  • Instructions : state what additional information is required in order to know that the triangles in the image below are congruen
    8·1 answer
  • PLEASE HELP PLEASE I REALLY NEED HELP JUST SAY LIKE ABC OR D AND PLEASE DO THE CORRECT ANSWER​
    8·1 answer
  • HELP I NEED HELP ASAP
    6·1 answer
  • A triangle has two angles that each measure 50° What is the measure of the third angle?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!