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
frosja888 [35]
3 years ago
5

what is the equation of the quadratic function that passes through the points (0,-1),(1,0),and (2,-3)

Mathematics
1 answer:
Alexus [3.1K]3 years ago
6 0

Answer:

-2x^2 + 3x -1

Step-by-step explanation:

y = ax^2 + bx + c

(0,-1):  

-1 = a(0)^2 + b(0) + c

-1 = 0 + 0 + c

-1 = c

(1,0):

0 = a(1)^2 + b(1) + c

0 = a + b + c

(2,-3):

-3 = a(2)^2 + b(2) + c

-3 = 4a + 2b + c

Replace c with -1

0 = a + b -1

1 = a + b

-3 = 4a + 2b -1

-2 = 4a + 2b

-1 = 2a + b

Solve:

2a + b = -1

-1a - b = -1

a = -2

2a + b = -1

-2a -2b = -2

-b = -3 divide both by -1:  b = 3

a = -2; b = 3; c = -1

y = ax^2 + bx + c or y = -2x^2 +3x -1

You might be interested in
The equation y=20646 x 0.86^x estimates the value of a brand of car x years after it was purchased new. milo purchased this bran
torisob [31]
20646(.86^11) = 3929
5 0
3 years ago
Read 2 more answers
Can someone help me with this problem and give the answer
kykrilka [37]

Answer:

D

Step-by-step explanation:

<h2><u>No more means the other number is less than or equal to.</u></h2>
4 0
3 years ago
What is equal to 22%?
Allushta [10]

Answer:

72178.4777

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Please help, I’m not good at math and I’m struggling lol how fun
hram777 [196]

Answer:

D. Y = x + 2

Step-by-step explanation:

The slope increases at a rate of 1 / 1, which is written as just x. The line starts at 2, which is at the y-intercept, a.k.a, where you get the +2 from.

3 0
2 years ago
Read 2 more answers
Use​ Gauss's approach to find the following sums​ (do not use​ formulas). 1+3+5+7+...999
muminat
S=1+3+5+\cdots+995+997+999
S=999+997+995+\cdots+5+3+1
\implies 2S=(1+999)+(3+997)+(5+995)+\cdots+(995+5)+(997+3)+(999+1)

2S=\underbrace{1000+1000+\cdots+1000+1000}_{500\text{ times}}

(We are adding 500 instances of 1000 because that's how many odd numbers there are between 1 and 1000, inclusive.)

2S=500\times1000=500000
\implies S=250000
4 0
3 years ago
Other questions:
  • Nothing to ask here thanks though
    7·1 answer
  • Encuentren dos números cuyo cociente sea -1 y que la resta del primero menos el segundo sea -3/2
    9·1 answer
  • A student comes to lecture at a time that is uniformly distributed between 5:09 and 5:14. Independently of the student, the prof
    15·1 answer
  • Having debt keeps you from building wealth
    5·1 answer
  • What is the volume of the prism below?
    14·1 answer
  • I need help ASAP due in 3mins
    9·1 answer
  • I need help with this question ​
    13·1 answer
  • Please answer the question in the photo​
    7·1 answer
  • write the expressions for when you translate the graph of y = |x+2| a) one unit up b) one unit down c) one unit to the left d) o
    9·1 answer
  • GEOMETRY. I will give brainliest
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!