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]
2 years ago
9

Determine the equation for the parabola graphed below.

Mathematics
1 answer:
stiks02 [169]2 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
What is greater 1/3 or 1/8
Ludmilka [50]
1/3 is greater. Picture a pie with nothing cut into it. Then, you cut 3 equal pieces out of it, leaving no pie remaining. So, if you take 1 piece, you have 2 pieces that you didn't take. So if you do the exact same thing, but you cut <em>8 </em>pieces out of the pie and you take 1 piece, there are still 7 pieces remaining. So 1/8 is a smaller part of the pie than the 1/3, since you are cutting the pie into 8 identical pieces while with 1/3 you are cutting the same sized pie into 3 pieces. Sorry if I was confusing, just ask me if you want an easier-to-understand explanation. Also, if you pick a "brainliest" answer, it actually <em>gives </em>you points.
8 0
3 years ago
Read 2 more answers
The marked price of a tablet is €800. During a sale its sold at €640. This means one saves €160 during the sale
ArbitrLikvidat [17]

Answer:

c. $28.84

Step-by-step explanation:

C 28.84 just multiply 38.45 by .25 then you should get 9.6125 you subtract 38.45 by 9.6125 and get 28.84

3 0
2 years ago
How would I get the two equations into point intercept form?
prisoha [69]
Identify the slope, m. This can be done by calculating the slope between two known points of the line using the slope formula.
Find the y-intercept. This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.
5 0
3 years ago
In how many ways can a class of 10 students be assigned 1 a, 2 b;s
nalin [4]
2.b..........................
6 0
3 years ago
Read 2 more answers
Order the side/angles from smallest to largest
Goryan [66]

Answer:

the order is the option a. the smallest is T and the largest is S

7 0
2 years ago
Other questions:
  • Which shows another way to write 64?
    10·1 answer
  • What is the area of triangle UVW if the area of triangle RST is 36 cm and the scale
    12·1 answer
  • -t(-4t^3+8t^2)= <br> PLZZ I NEED HELP ASAP ITS WORK FOR KHAN ACADEMY AND I HAVE 6 ASSIGNMENTS TO DO
    9·1 answer
  • Two sides of a right triangle or 8 and 12 inches. Find the missing side if these are the lengths of the legs
    15·1 answer
  • ?? I need help. With this... it’s about angles
    8·1 answer
  • Explain the difference between solving 2x+15-3x=10 and 2x-4=3x+11
    11·1 answer
  • Complete each calculation using the distributive property.
    11·1 answer
  • PLEASE HELPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!
    9·1 answer
  • A store owner puts in an order for product x and product y for a total of 4,000 units. it costs $0.10 per item to ship of produc
    14·1 answer
  • Identical prizes are to be given to two winners from a group of 12 contestants. What counting formula would you use to determine
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!