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
Sonbull [250]
3 years ago
11

After transforming f(x) = 2x² +4x + 3 into vertex form, the vertex is easily identifiable. Which ordered pair is the vertex?

Mathematics
1 answer:
jolli1 [7]3 years ago
7 0

The vertex is (-1,1)

Explanation:

The equation is f(x)=2x^{2} +4x+3

To find the vertex, we need the equation in the form of f(x)=a (x-h)^{2}+k

Dividing each term by 2 in the equation f(x)=2x^{2} +4x+3

f(x)=2(x^{2} +2x+\frac{3}{2} )

Now, completing the square by adding and subtracting 1, we get,

f(x)=2(x^{2} +2x+1-1+\frac{3}{2} )

The first three terms can be written as (x+1)^{2},

f(x)=2[(x+1)^{2}+\frac{1}{2}  ]

Multiplying 2 into the bracket, we get,

f(x)=2(x+1)^{2} +1

This equation is of the form f(x)=a (x-h)^{2}+k

Now, we shall find the vertex (h,k)

Thus, h=-1 and k=1

Thus, the vertex is (-1,1)

You might be interested in
Is 4x+2y=9 a linear equation
ExtremeBDS [4]
Yes it is a linear equation
3 0
3 years ago
For two apply A and B, P(A)=0.5,and P(A|B)=0.7. Select all of the correct statements
saw5 [17]

Answer:

4456781

Step-by-step explanation:

7 0
3 years ago
A group of friends were working on a student film. They spent all their budget on props and costumes. They spent $693 on props,
sergeinik [125]

Answer:

The total budget is $1260

Step-by-step explanation:

Given

Props = \$693

Costumes = 45\%

Required

Determine the total budget

Since all budgets was spent on Props and Costumes only.

We have that.

\%Props + \%Costumes = 100\%

\%Props + 45\%= 100\%

\%Props= 100\% -45\%

\%Props= 55\%

In other words, 55% was spent on Props

Let the total budget be x, we have:

55\% * x = \$693

Make x the subject

x = \$693/55\%

x = \$1260

Hence, the total budget is $1260

5 0
3 years ago
How can you use a model to tell a percentage as a fraction with a denominator of 100?
asambeis [7]
Look at this: That is 113%.

4 0
3 years ago
★彡[ʜᴇʟʟᴏ ᴇᴠᴇʀʏʙᴏᴅʏ ɪ ᴀᴍ ꜰʀᴏᴍ ɪɴᴅɪᴀ ᴀɴʏᴏɴᴇ ᴡʜᴏ ᴄᴀɴ ʙᴇᴄᴏᴍᴇ ᴍʏ ɢɪʀʟꜰʀɪᴇɴᴅ
Ivanshal [37]

Answer:

No

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • 700 - d= 665. please help me
    10·2 answers
  • Yvette uses 6 games of tea leaves to make 24
    5·1 answer
  • How do you solve this question?
    5·1 answer
  • Maria measure the height of her Seedlings. There were 3/4 inches 7/8 inches 1 1/2 inches 3/4 inches five8 inches 3/4 inches 78 i
    7·1 answer
  • In OH, K = JR, mik = (11x + 2)°, and mjk = (12x - 7)<br> What is the measure of IK)?<br> mik) =
    15·1 answer
  • Help me plssssssssss
    13·2 answers
  • Dx-y+ab=z solve for x
    13·1 answer
  • Evaluate the expression for the given values.
    9·2 answers
  • PLASSS HELP<br><br> a. 9<br> b. 81<br> c. 3<br> d. 24
    11·1 answer
  • 30 6aın yüzde kaçıdır​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!