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
Oduvanchick [21]
3 years ago
9

Determine the equation for the parabola graphed below.

Mathematics
1 answer:
stiks02 [169]3 years ago
3 0
The generic equation of a parabola is:
 f (x) = ax ^ 2 + bx + c
 To verify the equation of the parabola you need three points:
 f (x) = ax ^ 2 + bx + c
 We choose the points:
 (x, y) = (- 1,7)
 7 = a (-1) ^ 2 + b (-1) + c
 7 = a - b + c
 (x, y) = (0,5)
 5 = a (0) ^ 2 + b (0) + c
 5 = c
 (x, y) = (- 2,5)
 5 = a (-2) ^ 2 + b (-2) + c
 5 = 4a - 2b + c
 We solve:
 c = 5
 5 = 4a - 2b + 5
 7 = a - b + 5
 Rewriting
 b = 2a
 a-b = 2
 Substituting:
 a-2a = 2
 a = -2
 b = -4
 The equation of the parabola is:
 f (x) = - 2x ^ 2 -4x + 5
You might be interested in
Find 17.3% of 286.1. Round to the nearest thousandth.
stealth61 [152]

49 would be the answer I hope it helps

3 0
3 years ago
Read 2 more answers
Kevin is a songwriter who collects royalties on his songs whenever they are played in a commercial or a movie. Kevin will earn $
Tresset [83]

Answer:

the answer is 4

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
PLeasehelppp me with this problem
melisa1 [442]
You would need 8.25 cups 
8 0
3 years ago
Read 2 more answers
620 + 107 round estimate the sum
Westkost [7]
Okay. 

 620 would be rounded estimate to 600

& 

107 would be rounded estimate to 100 


6 0
3 years ago
Read 2 more answers
The value of a piece of land deprecates at a rate of 0.60 per year after three years land is worth 2500 what was the original va
Setler79 [48]

Well, there is actually a formula for this kind of exercises:

n is the price the land had in the third year year

2500=n-nx0.6

2500=n(1-0.6)

2500=nx0.4

n=2500:0.4

n=6250

m is the price the land had in the second year

6250=m-mx0.6

6250=m(1-0.6)

6250=nx0.4

p=6250:0.4

p=15625

p is the price the land had in the first year

15625=p-px0.6

15625=p(1-0.6)

15625=px0.4

p=15625:0.4

p=39,062.5 <- this should be your answer. Hope this helps.

5 0
3 years ago
Other questions:
  • Carly draws quadrilateral JKLM with vertices J(-3,3), K(3,3), L(2,-1),and M(-2, -1). What is the best way to classify the quadri
    12·1 answer
  • The diameter of a particle of contamination (in micrometers) is modeled with the probability density function f(x)= 2/x^3 for x
    15·1 answer
  • Is this a function (8,0) (8,1) (8,2) (8,3) (8,4)
    9·1 answer
  • Which expression does NOT have a Greatest Common Factor?
    9·1 answer
  • Can somebody help me on this because my brain can’t do anything right now
    10·1 answer
  • One teaspoon equals 0.5 centiliters. How many liters equal 50 teaspoons? Round the answer to the nearest hundredth. 0.25 liters
    14·2 answers
  • Please Help ASAP IT'S DUE TODAY!!
    5·1 answer
  • A man is 61 5/12 inches tall and his daughter is 58 4/9 inches tall. How much taller is the man?
    9·1 answer
  • Is (3x6) x 9 and 3x(6x9 equal?
    12·2 answers
  • Hello Math Solvers kindly help me with this!​
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!