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
marusya05 [52]
3 years ago
9

What is f(x) = 8x2 + 4x written in vertex form?

Mathematics
1 answer:
Pepsi [2]3 years ago
8 0
First of all, you need to complete the square of \(x\)

and this could be done as follows:

f(x)=8[x^2+0.5x]
     =8[x^2 + 0.5x + (0.5/2)^2 - (0.5/2)^2]
     =8[(x^2 + 0.5x +1/16) - 1/16]
     =8[(x+0.25)^2 - 1/16]


And our parabola has the vertex form of this:
 
     f(x)=8(x+ \frac{1}{4})^2 -  \frac{1}{2}

and according to the chart I attached, the vertex is (-0.25,-0.5)


Tell me <span>if there is any difficulty faces you!</span>

You might be interested in
Can someone help me with this question?????????
pishuonlain [190]
Area of the circle can be calculated using the following rule:
area = pi*(radius)^2

For the first circle:
We are given that:
area = 1040.9 square units ....> I

For the second circle:
We are given that:
radius = 27 units
Therefore:
area = pi * (27)^2 = 2290.221044 square units ....> II

For the third circle:
We are given that:
circumference = 87.92 units
Therefore:
circumference = 2*pi*radius = 87.92
radius = 13.99 units
area = pi*(13.99)^2 = 615.12799 square units ...> III

For the fourth circle:
We are given that:
diameter = 19 units
Therefore:
radius = 19/2 = 9.5 units
area = pi*(9.5)^2 = 283.528 square units ....> IV

Based on the above, the order according to increasing area would be:
IV , III , I , II

hope this helps :)
4 0
3 years ago
Watching his children graduate from high school is most likely a long-term goal for a person of which of these ages?
salantis [7]

Answer:


Step-by-step explanation:


3 0
3 years ago
Read 2 more answers
The ratio of water and milk in a mixture is 2:3, what percent of water is mixed in the mixture?
elena-s [515]
40% water 60% milk

reason:
if you make then go to 100 by multiplying 2:3 by 2 you get 4:6 and then add a 0 at the end and there’s your answer
5 0
2 years ago
Read 2 more answers
You have 1240 acres of land, and each acre is worth $52. How much is your land worth in total?
murzikaleks [220]
If one acre is $52, you would multiply 1240 by 52. Your land in total is worth $64,480.
5 0
3 years ago
Which statement about the graph of the function f(x)=2x^2-x-6 are true?
Snezhnost [94]
C the vertex of the function
7 0
3 years ago
Read 2 more answers
Other questions:
  • Can somebody please help me with this?
    9·1 answer
  • Given a soda can with a volume of 15 and a diameter of 2, what is the volume of a cone that fits perfectly inside the soda can?
    10·1 answer
  • Marcus has 731 books he puts about the same number of books each of nine shelves in a bookcase about how many books are on each
    9·1 answer
  • Someone please help me with this question. I've been stuck on it for almost 40 minutes. Here's the question. Lauren was standing
    14·1 answer
  • If (3)x+y = 81 and (81)x-y = 3 find the values of x and y.
    11·1 answer
  • Please help me with this problem.
    6·1 answer
  • I NEED HELP ASAP Before School! Please. One/Two Stepp Equation Word Problems | Define The Variable For Each Problem.
    11·2 answers
  • Simplify (18+t)(-3)+9
    8·1 answer
  • Multiply. Write your answer in simplest form.<br> m 2<br> 5m + 4<br> 7.
    10·1 answer
  • Express a ratio in the form of 1:n<br> 5:45
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!