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
Brilliant_brown [7]
3 years ago
9

Jacques needs to convert the function f(x) = x2 − 6x + 14 to vertex form, f(x) = (x − h)2 + k, in order to find the minimum.

Mathematics
2 answers:
Olenka [21]3 years ago
6 0

Answer:

C. 5

Step-by-step explanation:

Given function is,

f(x) = x^2 - 6x + 14

Here, the coefficient of x = 6,

Thus, We need to add and subtract the square of half of 6 in the given equation for getting the vertex form,

By adding and subtracting 9,

f(x) = x^2 - 6x + 9 + 14 - 9

f(x) = (x-3)^2 + 5   ( Because, a² - 2ab + b² = (a-b)²  )

Which is the required vertex form he will get,

By comparing it with f(x) = (x+h)^2+k

We get, k = 5,

⇒ Option C is correct.

Anarel [89]3 years ago
5 0

k = 5

the equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square

Since the coefficient of the x² term is 1 then

add/ subtract (half the coefficient of the x-term )² to x² - 6x

f(x) = x² + 2(- 3)x + 9 - 9 + 14 = (x - 3)² + 5 → k = 5


   

You might be interested in
10x2 + 99x – 5) ÷ (x + 10) = ?
artcher [175]
15+99x
------------
X+10<span>
10x – 1 remainder 5 </span>
8 0
3 years ago
Thomas goes to summer camp every year if his parents drive 155 miles to Camp to drop him off and then go back to pick him up in
prisoha [69]
I would say 465 since they go back and forth twice which is 155 x 3
8 0
2 years ago
(1 point) 1. The height (in feet) and volume of usable lumber (in cubic feet) of 32 cherry trees are measured by a researcher. T
Thepotemich [5.8K]

Answer:

C. volume

Step-by-step explanation:

The response variable in this scenario would be the volume of the usable lumber. That is because this variable depends completely on the height of the cherry trees that are being measured. The higher that the cherry trees are the more volume can be expected to get from cutting these trees down. The opposite goes for trees that are smaller, they would decrease the total expected volume that will be received from the usable lumber since there would be less amount of tree to cut down.

3 0
3 years ago
A chi-square test for independence with 10 degrees of freedom results in a test statistic of 18.21. Using the chi-square table,
erastova [34]
Shhdjdhxidjswhidbjaaishdbfjdksnwjw
8 0
3 years ago
Write a situation that could be represented by the equation y=15x-3
Solnce55 [7]
A tree grows at a rate of 15 inches per year.  However, three inches were chewed off by quasi-sadistic bunnies the first year it was planted.  Fortunately, the bunnies were frightened off by the garden gnomes, and did not return.  As a result the tree was able to grow unencumbered for the rest of its life.
8 0
3 years ago
Other questions:
  • What is the pattern displayed in the scatterplot between the number of cups of hot tea sold and the air temperature?
    5·1 answer
  • THE BRAINIEST ANSWER Opportunity!
    11·1 answer
  • Add.<br> Question 4<br> 3/8x^3 + 7/2x
    9·1 answer
  • Suppose you order a pizza with a diameter of
    13·1 answer
  • Helppp you know this​
    9·2 answers
  • A saleswoman is paid $10 per hour and $6 for each sale she makes. She wants to earn
    11·1 answer
  • Evaluate the following function for f(4). F(x)=2x-12
    5·1 answer
  • Pls pls help
    14·2 answers
  • Answer the top one please.
    10·1 answer
  • Pls give answer for 9c thanks
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!