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
mr Goodwill [35]
3 years ago
14

Which function in vertex form is equivalent to f(x) = 4 + x2 – 2x?

Mathematics
2 answers:
alisha [4.7K]3 years ago
6 0

Answer:

option A

f(x) = (x – 1)2 + 3

Step-by-step explanation:

Given in the question a function,

f(x) = 4 + x² – 2x

<h3>Step 1</h3>

f(x) = 4 + x² – 2x

here a = 1

        b = -2

        c = 4

<h3>Step 2</h3>

x = -b/2a

h = -(-2)/2(1)

h = 2/2

h = 1

Step 3

Find k

k = 4 + 1² – 2(1)

k = 3

Step 4

To convert a quadratic from y = ax² + bx + c form to vertex form,

y = a(x - h)²+ k

y = 1(x - 1)² + 3

y = (x - 1)² + 3

<h3></h3>

Mashutka [201]3 years ago
3 0

ANSWER

The vertex form is

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

EXPLANATION

The given function is

f(x)  = 4 +  {x}^{2}  - 2x

This is the same as:

f(x)  =  {x}^{2}  - 2x + 4

We add and subtract the square of half the coefficient of x.

f(x)  =  {x}^{2}  - 2x +  {( -1 )}^{2}  - {( -1 )}^{2}   + 4

f(x)  =  {x}^{2}  - 2x +  1    - 1  + 4

The first three term is a perfect square trinomial:

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

The vertex form is

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

You might be interested in
Sonya took out a mortgage of $65,000 at 7% for 25 years. What is the cost of the mortgage?
Vika [28.1K]

The cost of the mortgage is $81250

<h3>What are interests?</h3>


Interests are percentages of a principal

Given the following parameters

Principal = $65000

Rate = 7% = 0.07
Time = 5 years

<h3>Calculate the interest</h3>

I = PRT/100
I = 65000*0.07*25
I = 16,250

<h3>Determine the cost of the mortgage</h3>

Cost of mortgage = Principal + Interest

Cost of mortgage = 65000 + 16250
Cost of mortgage = 81,250

Hence the cost of the mortgage is $81250

Learn more on mortgage here: brainly.com/question/22846480

5 0
2 years ago
Read 2 more answers
What is the value of the expression 12.25 + (-17.75)?
Reika [66]

Answer:

-5.5

Step-by-step explanation:

7 0
3 years ago
What is the cost of one cranberry and one banana nut muffin?
Bezzdna [24]
So for the cranberry muffin, for every 12 (a dozen) it's $3
Banana nut muffin: for every 12, it's $4.32
take the $3 and divide it by 12 which is $0.25 for every cranberry muffin
take $4.32 divide by 12 and you get $0.36 for every banana nut muffin
so $0.25 + $0.36 = $0.61
Therefore the answer is B
8 0
3 years ago
Read 2 more answers
What is the correct graph of the function 2x - y = 2?
kolbaska11 [484]

Answer:

slope: 2 2. y-intercept: 2 2.

Step-by-step explanation:

Any line can be graphed using two points.

5 0
3 years ago
Can anyone help fast please???
Rina8888 [55]
The inverse will be 2x+3/4 or D in your picture
6 0
3 years ago
Other questions:
  • Tanya wants to find the height of the tree. She walks away from the base of the tree so the tip of her shadow coincides with the
    13·1 answer
  • I’m not sure how to do this I’m confused please help guysssss
    7·2 answers
  • The circle graph shows the portions of the time that Ralph spent playing different games.
    6·2 answers
  • Write the measure 29° 6' 6" as decimal to the nearest thousandth.
    11·1 answer
  • If 1 16 oz can cost. $1 how much is 8 40oz cans
    11·1 answer
  • What is the 8th term 28, 33 ,38, 48
    10·2 answers
  • A shop produces 39 wetsuits every 2 weeks. how long will it take the shop to produce 429 wetsuits
    14·2 answers
  • Identify the equivalent expression to the square root of x plus 3
    5·1 answer
  • Which equation results from taking the square root of both sides of (x 9)2 = 25?
    10·1 answer
  • Tamela plants 6 rows of t tomato plants each. How many tomato plants did she plant?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!