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
Paul [167]
3 years ago
15

Write the equation of the parabola that has the vertex at point (− 1/2 ,2.3) and passes through the point (5,2 3/4 ).

Mathematics
1 answer:
Alex73 [517]3 years ago
5 0

Answer:

The equation of parabola in vertex form is y=0.015(x+0.5)^2+2.3

Step-by-step explanation:

Given coordinate of vertex is (-\frac{1}{2},2.3) and the parabola passes through the point (5,2\frac{3}{4})

So, the equation of parabola in vertex form is

y=a(x-h)^2+k

Where (h,k) is the coordinate of the vertex.

(h,k)=(-\frac{1}{2},2.3)=(-0.5,2.3).\\\\So,\ h=-0.5\ and\ k=2.3

Plugging these value in equation we get,

y=a(x-(-0.5))^2+2.3\\\\y=a(x+0.5)^2+2.3

Now, we will find the value of a

Plug the coordinate (5,2\frac{3}{4})

(x,y)= (5,2\frac{3}{4})\\\\(x,y)=(5,\frac{11}{4})\\\\(x,y)=(5,2.75)

2.75=a(5-(-0.5))^2+2.3\\\\2.75=a(5+(0.5))^2+2.3\\\\2.75=a(5.5)^2+2.3\\\\2.75=a\times30.25+2.3\\\\2.75-2.3=a\times30.25\\\\0.45=a\times30.25\\\\\frac{0.45}{30.25}=a\\ \\a=0.0149

Plug the value of a in the equation y=a(x+0.5)^2+2.3

So, the equation of parabola with vertex (-\frac{1}{2},2.3) and passes through the point (5,2\frac{3}{4}) is

y=0.0149(x+0.5)^2+2.3 ≅y=0.015(x+0.5)^2+2.3

You might be interested in
What is the answer for 4 1/5 × 3/7
KatRina [158]

Answer:

<h2>9/5</h2>

Step-by-step explanation:

<h3>4 1/5 × 3/7</h3><h3 /><h3>•change 4 1/5 into an <u>improper fraction</u></h3><h3 /><h3>21/5 × 3/7</h3><h3 /><h3>= 63/35</h3><h3 /><h3>= 9/5 </h3>

\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}

7 0
2 years ago
Read 2 more answers
What is rational number and arithmetic number​
Oduvanchick [21]

\huge \mathtt \blue{answer}

Here, “p” is a numerator and “q” is a denominator. The examples of rational numbers are 6/5, 10/7, and so on. The rational number is represented using the letter “Q”. Like real numbers, the arithmetic operations, such as addition, subtraction, multiplication, and division are applicable to the rational numbers.

5 0
3 years ago
Why is a territory considered as a major element of a state​
dlinn [17]
Out of these four elements, Sovereignty stands accepted as the most important and exclusive element of the State. No other organisation or institution can claim sovereignty. An institution can have population, territory and government but not sovereignty. ... These are also loosely called states.
5 0
3 years ago
If f (x) = StartRoot x EndRoot + 12 and g (x) = 2 StartRoot x EndRoot, what is the value of (f – g)(144)
Luda [366]

The value of (f-g)(144) is 0

Step-by-step explanation:

We are given:

f(x)=\sqrt{x}+12\,\,and\,\,\\ g(x)=2\sqrt{x}

We need to find value of (f-g)(144)

We will put x=144 for both f(x) and g(x)

(f-g)(144)=f(144)-g(144)\\=\sqrt{144}+12-(2\sqrt{12})\\=12+12-(2(12)\\=24-24\\=0

So, the value of (f-g)(144) is 0

Keywords: Composite Functions

Learn more about Composite Functions at:

  • brainly.com/question/4939434
  • brainly.com/question/2723982
  • brainly.com/question/10772025

#learnwithBrainly

4 0
3 years ago
Read 2 more answers
The mass of a block of stone is 4,500 kg.. If the stone has a volume of 0.5 m3 , what is the density?
vodomira [7]

Answer:

your and is b.

Step-by-step explanation:

mass(m)=4,500

volume(v)=0.5m³

now,

density=<u>m</u>

v

=<u>4</u><u>5</u><u>0</u><u>0</u>

<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>0.5

=9000kg/m³

6 0
3 years ago
Other questions:
  • Evaluate the quotient of 1.05 x 103 and 1 x 103:
    5·2 answers
  • A regular pentagon has an apothem of 3.2 and an area of 37.2 m. What
    6·1 answer
  • What would be the value of X in px + 8 = rx - 10
    7·1 answer
  • Solve this quadratic equation.<br><br><img src="https://tex.z-dn.net/?f=2x%20%7B%7D%5E%7B2%7D%20%20-%205x%20%2B%202%20%3D%200" i
    10·1 answer
  • What are the coordinates of the image of vertex D after a reflection across the x-axis?
    7·1 answer
  • Elizabeth and Daniel are starting competing coffee roasting businesses.  They each first buy a large coffee roasting machine and
    11·1 answer
  • The best player on a basketball team makes 85% of all free throws. The second-best player makes
    10·1 answer
  • In dogs, there is a hereditary deafness caused by a recessive gene, “d." A kennel owner
    12·1 answer
  • And slope of the linear equation y+8=3(x−5)<br> ?
    10·1 answer
  • 2.5. For his homework Thulani defined a factor as: "Factors of a number are formed when the number is multiplied by 1; 2; 3; 4".
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!