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
Airida [17]
3 years ago
10

Find the vertex of the graph of the function. f(x) = 3x^2 - 18x + 24

Mathematics
2 answers:
harkovskaia [24]3 years ago
4 0

Answer:

(3, - 3 )

Step-by-step explanation:

Given a quadratic in standard form

f(x) = ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

f(x) = 3x² - 18x + 24 ← is in standard form

with a = 3, b = - 18

x_{vertex} = - \frac{-18}{6} = 3

Substitute x = 3 into the equation for corresponding value of y

f(3) = 3(3)² - 18(3) + 24 = 27 - 54 + 24 = - 3

vertex = (3, - 3 )

vovangra [49]3 years ago
3 0

Answer:

Step-by-step explanation:

f(x) = 3x² - 18x + 24

f(x) = 3(x²-6x +8)

f(x) = 3 ((x² -6x+9) - 9) +8)

f(x) = 3 ( (x-3)²- 1 )

f(x) = 3(x-3)² - 3

note : the vertex of the graph of the function. f(x) = a(x-h)² + k is the point : (h;k)

in this exercice the vertex is : (3; -3 )

You might be interested in
PLEASE HELP 
Molodets [167]
B would be the correct answer
3 0
3 years ago
Kaitlyn bought movie tickets for herself and 12 family members. If a movie tickets costs $13.75 how much did kaitlyn spend on al
Virty [35]

12 people plus herself is 13 people. So 13.75(13)=178.75.


So, $178.75 for all tickets. But... I might be wrong.

7 0
2 years ago
3. List all measurements that you can make with the 10-oz and 6-ov glasses. You can combine both cups for this process. If the m
Otrada [13]
Booookrhwudhdhhehfjsjd
3 0
3 years ago
You offer senior citizens a 20% discount on their tune-ups at your gas station. Assuming that an average of 50 senior citizens g
Natali5045456 [20]
499.50 is the total amount of discounts given to senior citizens
6 0
3 years ago
Hello homework due tomorrow I will give 15points
antoniya [11.8K]
Im pretty sure i can help you out on this one
4 0
3 years ago
Other questions:
  • Which expressions go in which box?
    7·1 answer
  • Estimate the length of tamara’s Room
    9·1 answer
  • The angles in a triangle are in the ratio 1:2:3. Show that this triangle is a right-angled triangle. The hypotenuse of the trian
    11·1 answer
  • On James’s MP3 player, he has 12 sad songs and 40 upbeat songs that he wants to put into playlists. He wants to have the same nu
    10·1 answer
  • What is x given angle ABC~ angle DBE~ ?
    14·2 answers
  • explain how you would find how many 1 1/2 cups servings there are in the pot that cantains 22 1/2 cups of soup
    5·1 answer
  • Jamaal is traveling 20 miles an hour slower than Micah. Micah is traveling n miles an hour. Write an expression to describe how
    11·2 answers
  • Katrina drinks 0.5 gallons of water per day. Which expression shows how to find the number of cups of water she drinks in a
    15·1 answer
  • ANSWER ASAP I NEED HELP!!!!
    11·2 answers
  • Situation:
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!