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
finlep [7]
3 years ago
6

For the function f(x) = (x − 2)2 + 4, identify the vertex, domain, and range.

Mathematics
1 answer:
jasenka [17]3 years ago
7 0

Answer:

The the vertex is: (2, 4)

Domain: all real numbers

Range: [4 \infty)

Step-by-step explanation:

Quadratic functions can be written vertically as follows

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

Quadratic functions can be written vertically as follows

Where the point (h, k) represents the vertex of the quadratic function.

For this type of functions the domain is always all real numbers and the range is [k, \infty) or if a then the range is (-\infty, k]

In this case the function is:

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

So

h = 2\\k=4

The the vertex is: (2, 4)

Domain: all real numbers

Range: [4, \infty)

You might be interested in
Let a be a real number and n a positive integer . show that x-a is a factor of x^n- a^n
nikklg [1K]

Answer:

steps below

Step-by-step explanation:

x-a=0

x=a   plug in xⁿ - aⁿ

xⁿ - aⁿ = aⁿ - aⁿ = 0

(x-a) must be a factor of xⁿ - aⁿ

6 0
3 years ago
What is root 3 × 2 root 3​
Nezavi [6.7K]

Answer:

3

Step-by-step explanation:

The principal, real, root of:

\sqrt[2]{3}

=1.73205081

All roots:

1.73205081

−1.73205081

 

3 is not a perfect square

5 0
3 years ago
How do you do a question like this? 80% as a fraction in simplest form.
Gemiola [76]
Take away 0.20 of the amount.
3 0
3 years ago
What transformation(s) is taking place i’ll mark u the brainliest if u help
Ray Of Light [21]

Answer:

Reflection, Translation, and possibly Rotation

6 0
3 years ago
Erica makes 27 dollers every 4 1/2 hours. How much does she make for 12 hours ?
kodGreya [7K]

Answer:

72 dollars I believe

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • What does f(-1) =_<br> and x=_ ?
    10·1 answer
  • You have a 5-question, true-false quiz. What is the probability that you choose each answer at random and get 4 of the questions
    7·1 answer
  • You went to the mall with $80. You spend 25% of the money on shorts and 65% of the remainder on sandals. How much did the sandal
    6·1 answer
  • Which of the following linear function represent the given points? (0,2) and (1,3) *
    15·1 answer
  • Determine whether parallelogram JKLM with vertices J(-1, -1), K(4, 4), L(9, -1) and M(4, -6) is a rhombus, square, rectangle or
    8·2 answers
  • Please help me figure out what x is
    8·1 answer
  • Please answer 4 - 9 will mark brainlyist
    13·1 answer
  • Find the total surface area of this cone.<br> leave your answer in terms of pi<br> R=3<br> L=4
    6·1 answer
  • ·       CSD, ETF, GUH, ____, KWL pattern​
    14·1 answer
  • An equilateral triangle has a perimeter of
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!