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
satela [25.4K]
3 years ago
8

Parabola passes through the points (0,5), (1,4), and (2,5). What function does the graph represent?

Mathematics
1 answer:
AfilCa [17]3 years ago
7 0

Answer:

x^2 - 2x + 5 = 0.

Step-by-step explanation:

The (0, 5) is the point where the parabola passes through the y axis (where x = 0), so we can write the equation as

y = ax^2 + bx + 5   where a and b are constants to be found.

Also, since (1, 4) and (2, 5) are points on the curve, substituting, we have the system:

a(1)^2 + 1b + 5 = 4

a(2)^2 + 2b + 5 = 5

Simplify these 2 equations:

a  + b  =  -1  .................(1)

4a + 2b = 0..................(2)

Multiply the first equation by -2:

-2a - 2b = 2 .................(3)

Add (2) + (3):

2a = 2

a = 1.

Substitute a = 1 into (2):-

4*1 + 2b = 0

2b = -4

b = -2.

You might be interested in
D.reflection across y=x
AlladinOne [14]
Rotation of 180° about the origin
6 0
3 years ago
-5 5/6-(-2 1/3)+5 1/6
Umnica [9.8K]

Answer: 1.66666666667

5 0
2 years ago
Its -20 but how? pls helppp. ill give brainliest
MissTica

w-10=2(w+5)

w-10=2w+10

w-2w=10+10

-w=20

w=-20

4 0
2 years ago
Read 2 more answers
Need help with this problem ​
Ira Lisetskai [31]

Answer:

no

Step-by-step explanation:

u will have to explain

6 0
3 years ago
How do you solve f(x) = 3x^4 + x + 2<br> and how do you find how many zeroes the problem has
pentagon [3]

Answer:

no solution

not sure but you can use math

way to solve

6 0
3 years ago
Other questions:
  • A bag contains 7 red marbles, 4 blue marbles and 5 green marbles. If two marbles are drawn out of the bag, what is the exact pro
    10·1 answer
  • I need to solve these systems using substitution.
    10·1 answer
  • A group of girls decided to go on a trip and the organizer said that the bus would cost 360$ to rent. The organizer also told th
    7·1 answer
  • How to solve this? In a magic pentagon, the three numbers along each of the five sides add up to the sane total. We call this th
    14·1 answer
  • In ΔDFE, which trigonometric ratio has the same value as sin D?
    15·2 answers
  • Help plz I've been stuck
    7·2 answers
  • Question 2 (1 point)
    12·1 answer
  • A boat goes 24 miles at a constant speed in 4 hours against a river current. It takes the boat 3 hours to go the same distance a
    7·2 answers
  • Angelique makes beaded jewelry. The graph below shows the number of beads on varying cord lengths.
    8·1 answer
  • a right triangle has a height of 20 centimeters and a base of 10 centimeters.what is the area of the triangle?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!