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
goldfiish [28.3K]
3 years ago
14

What is the equation, in standard form, of a parabola that models the values in the table?

Mathematics
1 answer:
kirza4 [7]3 years ago
5 0
<span> f(x) = ax^2 + bx + c

f(0) = ax^2 + bx + c = 5, c = 5
f(-2) = 4a + -2b + 5 = 1 ----------(1)
f(4) =16a + 4b + 5 = -59 ----------(2)
4a -2b = -4
</span><span>16a + 4b = -64 
16a + 4(-2-2a)= -64
16a - 8 - 8a = -64
8a = -56
<span>a = 7
</span>4a - 2b = -4 
28 - 2b = -4
b = 16

</span><span>f(x) = 7x^2 + 16x + 5</span>
You might be interested in
Which of these steps will eliminate a variable in this system?
PSYCHO15rus [73]
C. multiply the second equation by two. Then add the equations
3 0
3 years ago
Where Two and One third will be located in the number line between what two integers?​
Mila [183]
Two and one thirds will be located between 2 and 3.

hope this helps :)
7 0
3 years ago
What is the difference of 23x and 9x?
BaLLatris [955]
Subtract 9x from 23x yields 14x. This was done by subtracting algebraically the variables.
4 0
3 years ago
Read 2 more answers
What is 5c2×(3/4)2×(1/4)5-2
Jobisdone [24]
Very hard question....
7 0
3 years ago
A 8-sided number die is rolled exactly once. Which statement is correct?
UkoKoshka [18]

Answer:

what statement if it is statistics it is 1/8 chance to get any number between 1-8

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • 89,891 to the nearest ten thousands place
    6·2 answers
  • Which number produces a rational number when added to 1/5 ?
    8·2 answers
  • Solve for w.<br> 4 = 0.25(w-4.3)
    13·1 answer
  • Please help. Will give brainliest
    7·1 answer
  • PLEASE HELP ME OUT I NEED IT !!
    11·1 answer
  • Thales, an ancient Greek mathematician and philosopher, used certain triangles to find the height of unknown objects. He waited
    13·1 answer
  • Two artists are mixing up green paint for a mural. The first artist, Shane, mixes 3 parts blue and 2 parts yellow to make a shad
    15·2 answers
  • Which of these graphs represents a function?
    15·1 answer
  • Unit 8: Right Triangles &amp; Trigonometry Date: Bell: Homework 3: Trigonometry: Ratios &amp; Finding Missing Sides
    9·1 answer
  • 40=3x+x^2<br><br> How do I find the answer to this
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!