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
blondinia [14]
3 years ago
13

Write the equation of the parabola below

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
7 0
Answer:
Equation is: y = 0.5x² + 0.5x - 3

Explanation:
general form of the parabola is:
y = ax² + bx + c

Now, we will need to solve for a, b and c.
To do this, we will simply get points from the graph, substitute in the general equation and solve for the missing coefficients.

First point that we will use is (0,-3). 
y = y = ax² + bx + c
-3 = a(0)² + b(0) + c
c = -3

The equation now becomes:
y = ax² + bx - 3

The second point that we will use is (2,0):
y = ax² + bx - 3
0 = a(2)² + b(2) - 3
0 = 4a + 2b -3
4a + 2b = 3
This means that:
2b = 3 - 4a
b = 1.5 - 2a ...........> I

The third point that we will use is (-3,0):
y = ax² + bx - 3
0 = a(-3)² + b(-3) - 3
0 = 9a - 3b - 3
9a - 3b = 3 ...........> II

Substitute with I in II and solve for a as follows:
9a - 3b = 3
9a - 3(1.5 - 2a) = 3
9a - 4.5 + 6a = 3
15a = 7.5
a = 7.5 / 15
a = 0.5

Substitute with the value of a in equation I to get b as follows:
b = 1.5 - 2a 
b = 1.5 - 2(0.5)
b = 0.5

Substitute with a and b in the equation as follows:
y = 0.5x² + 0.5x - 3

Hope this helps :)
You might be interested in
Using the 5 step method
Talja [164]

Answer: the first integer is -6 and the second integer is -4

Step-by-step explanation:

3 0
3 years ago
2x-7/3-5x+4/5=-x-4/30
Strike441 [17]

Answer:

Exact form: -7/10

Decimal form: -0.7

Step-by-step explanation:

Isolate the variable by dividing each side by by factors that don't contain the variable.

5 0
3 years ago
3z2 - 2z + 8 <br> -<br> (10z2 +7z - 12)
klemol [59]

Answer: 7z²-9z+20

Step-by-step explanation:

PEMDAS - Please Excuse My Dear Aunt Sally - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

4 0
3 years ago
Which graph best represents y = −x2 + 6x − 1?
iVinArrow [24]

Answer:

which graph best represents y = -x2 + 6x - 1?

Step-by-step explanation:

hich is the graph of the linear function that is represented by the equation y= 1/2x-2 ?

8 0
2 years ago
Read 2 more answers
I need help i have 5 minutes left of class i will give brainest if answer make sure to show poof
Naya [18.7K]

Answer for teardrop shape:

64.27

Step-by-Step Explanation:

I used the area calculators on Goggle

Answer for square:

5.7

Explanation:

The shape is a square, so all the sides are equal

5.7 + 6.8 = 12.5

x = 5.7

Answer for trapezoid:

76.95

Explanation:

Again, Goggle

8 0
2 years ago
Other questions:
  • Jessica owns a base salary of $150 every week with an additional 40% commission on everything she sells if Jessica is sold $1650
    9·1 answer
  • A group of 400 town residents is asked to attend a town hall meeting. Of the 400 residents asked to attend 36 were able to atten
    9·1 answer
  • Which of these is required of any person who wishes to vote?
    14·2 answers
  • I need help with number 1
    8·1 answer
  • Will give brainliest
    13·1 answer
  • Shauna borrows $400 from her parents to buy a phone. She agrees to pay them back plus 4% simple interest over one year. Use this
    12·2 answers
  • The numbers of cookies in a shipment of bags are normally distributed, with a mean of 64
    8·1 answer
  • MARKING BRAINLIEST
    12·2 answers
  • This needs to be turned in in 15 minutes help also can u answer both
    5·1 answer
  • My teacher refuses to teach me please help..
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!