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
Semenov [28]
3 years ago
6

PLS HELP 2. Write a quadratic function to the model to the graph to the right

Mathematics
1 answer:
lapo4ka [179]3 years ago
4 0
Given the vertex, (-4, 3):

We can use the quadratic function in vertex form, f(x) = a(x - h)^2 + k where:

(h, k) = vertex

a = determines whether the graph opens up or down, and makes the parent function wider or narrower.
* If a is positive, the graph opens up.
* If a is negative, the graph opens down.

h = determines how far left or right the parent function is translated.

k = determines how far up or down the parent function is translated.

Now that we defined each variable in the vertex form, we can plug in the values of the vertex (-4, 3) into the equation:

f(x) = a(x - h)^2 + k
f(x) = a(x + 4)^2 + 3

To solve for the value of “a”, we must choose another point from the graph. The y-intercept of the parabola happens to be (0, 19), so we’ll use its values to solve for “a”:

19 = a(0 + 4)^2 + 3
19 = a(4)^2 + 3
19 = a(16) + 3

Subtract 3 from both sides:

19 - 3 = a(16) + 3- 3

16 = 16a

Divide both sides by 16:

16/16 = 16a/16

1 = a

The value of a = 1. Since it is a positive number, then it confirms that the parabola opens upward.

Therefore, the quadratic function in vertex form is:

f(x) = (x + 4)^2 + 3

Please mark my answers as the Brainliest if you find this helpful :)
You might be interested in
I need an equation for: what number is 70% of 120
kifflom [539]
You'll have to multiply 0.7 by 120.

120*0.7 = n

n is the number that is 70% of 120

120 * 0.7 = 84

Hope this helps :)
8 0
3 years ago
Read 2 more answers
Carrie wished to build a rectangular dog run along theside of her garage. The garage will serve as one side of the fence. If she
Nat2105 [25]

Given:

Carrie has 180 ft of the fencing and wishes the fence to be 4times as long as it is wide.

To Find:

The area in square feet that the fencing encloses.

Answer:

The fence encloses 3600 sq ft.

Step-by-step explanation:

Let x denote the length of the dog run and y denote the width of the dog run.

Given that the garage wall serves as one side of the dog run, we are left with 3 other sides to instal the fence.

Carrie has 180ft of fencing with her, so the sum of the lengths of the 3 sides has to be equal to 180. We can represent this in the form of an equation as

x+y+y=180\\\\x+2y=180\\\\x=180-2y

We are also given that Carrie wishes the fence to be 4 times as long as it is wide.

So,

x=4y

Replacing this value into the first equation, we have

4y=180-2y\\\\
6y=180\\\\
y=30

Therefore,

x=(4)(30)=120

Thus, the length of the dog run is 120ft and the width is 30ft.

The area enclosed will be equal to the length multiplied with the width. So,

(120)(30)=3600

The fence encloses 3600 sq ft.


4 0
3 years ago
Which inequality correctly compares Two-fifths, Six-sevenths, Five-eighths, and 1?
Ronch [10]

Answer:

<u>2/5 < 5/8 < 6/7 < 1 </u>

   <u>OR</u>    

<u>1 > 6/7 > 5/8 > 2/5</u>

Step-by-step explanation:

It is required to compare Two-fifths, Six-sevenths, Five-eighths, and 1

Two-fifths = 2/5

Six-sevenths = 6/7

Five-eighths = 5/8

So, the given numbers are: 2/5, 6/7, 5/8, and 1

We need to make the numbers in order from the least to the greatest or from the greatest to the least

The easy method is convert the rational numbers to decimal numbers

So,

2/5 = 0.4

6/7 ≈ 0.857

5/8 = 0.625

1 = 1

So, the numbers form the least to the greatest are:

0.4 , 0.625 , 0.857 , 1

So,

2/5 , 5/8 , 6/7 , 1

The inequality correctly compares the numbers are:

<u>2/5 < 5/8 < 6/7 < 1</u>

Or can be written from the greatest to the least as:

<u>1 > 6/7 > 5/8 > 2/5 </u>

6 0
3 years ago
15 Points!
mart [117]
Sin = 14/50; 7/25 & tan = 14/48; 7/24, Hope this helps.
3 0
3 years ago
Read 2 more answers
Students conducted a survey to see which cola was preferred most. People preferred cola A to cola B by a ratio of 9:7. If 108 pe
tigry1 [53]

Answer:

c:84

Step-by-step explanation:

set your equasion to 9/7 = 108/x .solve the equasion and you get 84 for x

4 0
3 years ago
Other questions:
  • What is the difference when the product of 0.3 and .04 is subtracted from the sum if 0.3 and 0.4?
    8·1 answer
  • PLEASE HELP ASAP!<br><br><br>What is the value of x? What are the missing angles?
    13·2 answers
  • Joshua is going kayaking with a group during one of his vacation days. In his vacation planning, he budgeted $50 for a kayak ren
    8·1 answer
  • How do write a five paragraph essay?
    12·2 answers
  • WV is the
    15·1 answer
  • Danny walks at an average speed of 5 m/s foe 1 minute. Work out the distance that Danny has travelled in metres.
    6·2 answers
  • Sarah has £135
    6·1 answer
  • Help help helpe help !!!!!!!!!!!!!!!!!!!!!!!!!!!
    6·1 answer
  • PLEASE HELP I WILL GIVE BRAINLIEST How many students are represented in this histogram?
    8·2 answers
  • A golf pro wants to determine if Titleist Pro V1 golf balls (1) travel farther, on average, than Callaway Chrome Soft golf balls
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!