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
A=<br> -4<br> 3<br> 3<br> 6<br> 4<br> 5<br> -3<br> -3<br> 4.
Art [367]

Answer:

Can you please rewrite this correctly so I can solve?

4 0
2 years ago
Jon caught four fish that weighed a total of 252 pounds. The kingfish weighed twice as much as the amberjack and the white marli
Allushta [10]

Answer:

  • amberjack, 21 lbs
  • kingfish, 42 lbs
  • white marlin, 84 lbs
  • tarpon, 105 lbs

Step-by-step explanation:

Let k, a, m, t represent the weights of the kingfish, amberjack, marlin, and tarpon, respectively. The problem statement tells us ...

  • k = 2a
  • m = 2k
  • t = 5a
  • k + a + m + t = 252

Using substitution, we can rewrite the last equation as ...

... (2a) + (a) + 2(2a) + (5a) = 252

... 12a = 252 . . . . . collect terms

... a = 21 . . . . . . . . .divide by 12

Then k = 2a = 42; m = 2k = 84; t = 5a = 105.

8 0
2 years ago
You went to the barber to get your hair cut. The haircut cost $30. You tipped the barber 20%. How much money did you give the ba
Rashid [163]

Answer:

Tip $6

Total Amount $36

Step-by-step explanation:

20% of $30 is 6

$30 + $6 = 36

7 0
2 years ago
Describe the shape of the graph
wlad13 [49]

Answer:

Pyramidal

Step-by-step explanation:

4 0
3 years ago
Find the value of..<br><br>​
Zina [86]

Step-by-step explanation:

[1/2]^-2= 4

[1/3]^-2=9

[1/4]^-2=16

So sum is 4+9+16=29

Hope this helps you.

6 0
2 years ago
Other questions:
  • Please answer this correctly without making mistakes
    5·2 answers
  • Rachel has been watching the number of alligators that live in her neighborhood. The number of alligators changes each week.
    6·1 answer
  • Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
    6·1 answer
  • At a state park, 3 children and 5 adults paid a total of $68 for their entrance fees, whereas 4 children and 2 adults paid
    8·2 answers
  • 7p +11 - 31 stuck at this one​
    11·1 answer
  • Solve for the value of v.
    7·2 answers
  • Given the following absolute value function find the range.
    7·1 answer
  • What is 17.5 as a whole number NO ROUNDING
    12·1 answer
  • M (slope) =<br>b ( y - intercept) =<br>x - intercept =​
    7·1 answer
  • Which of the following are irrational numbers?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!