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
steposvetlana [31]
3 years ago
14

Explain the special pattern for sketching a parabola

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
8 0

Answer:

the parabola can be written as:

f(x) = y = a*x^2 + b*x + c

first step.

find the vertex at:

x  = -b/2a

the vertex will be the point (-b/2a, f(-b/2a))

now, if a is positive, then the arms of the parabola go up, if a is negative, the arms of the parabola go down.

The next step is to see if we have real roots by using the Bhaskara's equation:

x =  \frac{-b +-\sqrt{b^2 -4ac} }{2a}

Now, draw the vertex, after that draw the values of the roots in the x-axis, and now conect the points with the general draw of the parabola.

If you do not have any real roots, you can feed into the parabola some different values of x around the vertex

for example at:

x =  (-b/2a) + 1 and x =  (-b/2a) - 1

those two values should give the same value of y, and now you can connect the vertex with those two points.

If you want a more exact drawing, you can add more points (like x =  (-b/2a) + 3 and x =  (-b/2a) - 3) and connect them, as more points you add, the best sketch you will have.

You might be interested in
HELP ME Using the following equation, complete the square and find the center and radius of the circle:
IrinaK [193]

Answer: (-2,3), r=5\ \text{units}

Step-by-step explanation:

Given

the equation is x^2+y^2+4x-6y-12=0

completing the square

\Rightarrow (x^2+2\times 2\times x+4-4)+(y^2-2\times3\times y+9-9)-12=0\\\Rightarrow (x^2+2\times 2\times x+4)+(y^2-2\times3\times y+9)-12-4-9=0\\\Rightarrow (x+2)^2+(y-3)^2=25\\\Rightarrow (x+2)^2+(y-3)^2=5^2\\\Rightarrow (x-(-2))^2+(y-3)^2=5^2

Thus, the center of the circle is (-2,3) and radius is r=5\ \text{units}

5 0
3 years ago
A circle has a diameter of 12 feet. What is the circumference of the circle?
Lady bird [3.3K]

Answer:

B). 37.68 feet.

Step-by-step explanation:

Circumference = diameter *  π

= 12 * π

=  37.68 feet.

5 0
3 years ago
Can someone please help me i'll mark brainliest and give a 5 star rating :)))​
Alexxx [7]

Answer:

see below

Step-by-step explanation:

That is a LOT of questions

complement angles add to 90    suppleent angles add to 180

9)  complement = 50   supplelement = 140

13)  compl = 40     suppl = 130  

14) comp = 45        supple = 135

I think you can do the rest, right?

4 0
1 year ago
Determine the value
neonofarm [45]
The answer: x is equal to 50
6 0
3 years ago
Read 2 more answers
A-2.5<br> 2a-22.7<br> a+1.3<br> 21.5<br> What’s a
rewona [7]

Answer:

2.4

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Find the length of the arc. Round your answer to the nearest tenth.
    6·1 answer
  • An accountant is monitoring the average rates per hour for four employees.
    6·1 answer
  • In the image, two circles are centered at A. The circle containing B was dilated to produce the circle containing B′. What is th
    13·2 answers
  • LEon made 4 liters of lemonade for the party, but it was too strong, it was 14% lemon juice. How much 8% lemonade should he add
    11·1 answer
  • Original price: $32<br> Discount: ?<br> Sale price: $8
    10·1 answer
  • 15 pts Please help?!
    6·1 answer
  • PLEASE HELP ASAP!!!!
    12·1 answer
  • Yvette measured the length of her driveway to be 5 meters long. Which of these is an equivalent measurement?
    10·2 answers
  • The area of a rectangle is 40 square inches. The
    12·1 answer
  • Ivan is painting 3 walls in his bedroom. Each wall measures 9 3/4 feet tall by 14 1/4 feet wide. Ivan needs to estimate the tota
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!