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]
2 years ago
14

Explain the special pattern for sketching a parabola

Mathematics
1 answer:
Lady bird [3.3K]2 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
A rectangle's length, x, is 2 meters greater than its width. If the perimeter of the rectangle is greater than 112 meters, what
Harman [31]

Answer:

The possible length is greater than 29 meters.

Step-by-step explanation:

If the length is x then the width is x - 2  m.

So the perimeter is 2x + 2(x - 2) = 4x - 4 m.

4x - 4 > 112

4x > 116

x > 29 m.

7 0
3 years ago
The answer and how to do it
inessss [21]
Alright, here is how to do it:
First you are going to want to multiply 4x4. [That is Dino's Charges for 4 Sandwiches.] So once you've done that, you should get 16

Now, you're going to want to multiply 8x4. [That is Carla's charges for 4 Sandwiches.] So once you've done that, you should get 24.

Now, to find the difference you will have to subtract them. 24-16 = 18.
Now that we've done this we now know your answer is:
Carla's sandwiches cost more than Dino's sandwiches. The difference is 18 dollars.
-------------------------
I hope I helped, if I did; please give me brainliest. :)
4 0
3 years ago
You are planning on purchasing a new car and have your eye on a specific model. You know that new car prices are projected to in
olya-2409 [2.1K]

Answer:

A

Step-by-step explanation:

Cost of the car in "n" years=25000*(1+0.05)^n

Cost of the car in 2 years=25000*(1+0.05)^2=25000*(1.05)^2=27562.5

5 0
3 years ago
Nadir saves $1 the first day of a month, $2 the second day, $4 the third day, and so on. He continues to double his savings each
Leto [7]

The answer is $16,384. If this helps you please make it brainliest as it helps me out.

2

4

8

16

32

64

128

256

512

1024

2048

4096

8,192

16,384

6 0
3 years ago
Patricia can buy individual songs for $1.00 to download. Also, an entire album costs $10.00 to download. She can spend no more t
Burka [1]

The system of linear inequalities x + 10y ≤ 80, x ≥ 30 and y ≤ 4 is represented in a graph below

<h3>Graph of Linear Inequality</h3>

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality.

To solve this problem, we would require the use of graph which can easily be done with a graphing calculator.

x + 10y ≤ 80

x ≥ 30

y ≤ 4

The graph of the inequalities is attached below

Learn more on graph of linear inequality here;

brainly.com/question/19443475

#SPJ1

4 0
1 year ago
Other questions:
  • If the gradient of a line,C, is 2/3, what is the gradient of a line which perpendicular to C
    6·1 answer
  • An urn contains 3 red and 7 black balls. players a and b withdraw balls from the urn consecutively until a red ball is selected.
    10·1 answer
  • 7 out of 100 employable Canadian people are unemployed. If there is 32000000 people in Canada how many people are jobless
    6·1 answer
  • Mrs. Bruce wants to put in a swimming pool with a deck around the perimeter of the pool. The pool will be rectangular shaped and
    9·1 answer
  • Multiply 6 times two-ninths.
    11·1 answer
  • What is the area, in square centimeters, of the figure below?
    5·2 answers
  • LaShawn earned $60.00 for working 8 hours this weekend. What is the total amount of money LaShawn would earn for working 34 hour
    5·1 answer
  • Brenda's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 3 senior citizen ticket
    5·1 answer
  • On an island live people who always tell the truth and people who always lie. In the
    5·1 answer
  • Louise made her uncle a quilt. The width is 8 37 ft and the length is 7 23
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!