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
elixir [45]
2 years ago
10

What are the coordinates of the vertex for f(x) = x2 + 4x + 10?

Mathematics
1 answer:
boyakko [2]2 years ago
8 0

9514 1404 393

Answer:

  (d)  (-2, 6)

Step-by-step explanation:

We can rewrite the function using vertex form.

  f(x) = (x^2 +4x) +10

  f(x) = (x^2 +4x +4) +10 -4 . . . . . . . add and subtract (4/2)^2

  f(x) = (x +2)^2 +6

Compare to vertex form:

  f(x) = (x -h)^2 +k

we see that (h, k) = (-2, 6) . . . . the vertex

_____

<em>Additional comment</em>

The value added and subtracted is the square of half the x-coefficient. Inside parentheses, that value "completes the square". Outside parentheses, that value ensures the overall function remains unchanged.

You might be interested in
What is the absolute value of 3/4
Minchanka [31]

Answer:

3/4

Step-by-step explanation:

Absolute value is the distance from zero.

3 0
3 years ago
Read 2 more answers
Please help me with 1-5
kari74 [83]

Answer:

1. 79.2 inches

2. 114

3. 55.2

4. 2599.992

5. 2350

Step-by-step explanation:

Yw

5 0
3 years ago
Read 2 more answers
5 divided by what equals 9
Effectus [21]
5 divided by 45 equals 9
3 0
2 years ago
Read 2 more answers
Can somebody help me? please
igomit [66]
The answer is A. 2.3^5
7 0
2 years ago
Read 2 more answers
Given the equation a/b=c/d , what is the value of d. Show your solution
sasho [114]
D would equal a/b times c
8 0
2 years ago
Other questions:
  • What is the solution to the equation 1/6n=2?
    7·2 answers
  • What is a negative plus a negative
    10·2 answers
  • 5/10 is greater, less or equal to 15.50
    12·2 answers
  • What is 1 fourth times 3 sevenths
    14·1 answer
  • |x-9|=-4<br> How would I go to solve this equation
    9·1 answer
  • What region was the location of a war between Russia and the allied nations of Britain in
    13·1 answer
  • Use the diagram to find the angle measures of the triangle. Recall that the sum of the angle measures of a triangle is 180°
    6·2 answers
  • Six packs of Cola are on sale for $1.50. If a customer buys a case containing four six packs, what is the total charge including
    12·1 answer
  • Tell whether the ordered pair is a solution of the given system:
    11·1 answer
  • Please help!! im very confused
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!