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
Peter put $8,000 into a savings account that pays 6% interest, compounded continuously. After five years, Peter will have $in th
Dmitrij [34]
We have to calculate the amount of money Peter will have in his account after 5 years. Formula for the amount after t years with interest compounded continuously : A = P * e^(r t ). We know that r = 0.06; t = 5; e = 2.71 and P = $8,000. A = 8,000 * 2.718^( 0.06 * 5 ) = 8,000 * 2,718^( 0.3 ) = 8,000 * 1.3488158 = 10,798.53. Answer:<span> B. $10,798.53. </span>
6 0
2 years ago
Find the slope of the passing line through the points (-7, 8)and ( 5, -7
iogann1982 [59]

Answer:

negative 5/4

Step-by-step explanation:

3 0
3 years ago
What is the distance between (1,-5) and (-3,6)​
spin [16.1K]

Answer:

\large\boxed{\sqrt{137}}

Step-by-step explanation:

The formula of a distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

We have the points (1, -5) and (-3, 6). Substitute:

d=\sqrt{(6-(-5))^2+(-3-1)^2}=\sqrt{11^2+(-4)^2}=\sqrt{121+16}=\sqrt{137}

6 0
3 years ago
Given that <br> 3x:10=5:2<br> Calculate the value of x
Alchen [17]

The answer for the question is 8.33

3 0
3 years ago
Shannon is collecting art supplies. She has 48 crayons, 24 markers,
Ulleksa [173]

Answer:

6+3+4=13

Step-by-step explanation:

decide each number by the group and add them

3 0
2 years ago
Other questions:
  • PLEASE HELP IM CRYING RN PLEASE ANSWER CORRECTLY AND YOU WILL GET BRAINLIEST AND 100 POINTS
    14·1 answer
  • Fish Tales P.O.W.
    9·1 answer
  • Rewrite each of the following as an expression of x which does not involve any logs. 100^log10(x)
    5·1 answer
  • Which of the following phrases can be written as the algebraic expression 9(86−x)?
    14·1 answer
  • Plz help and explain
    9·2 answers
  • Ax+ay+xa+ya <br> Differentiate
    10·1 answer
  • -5(p+11)<br><br><br> help please
    15·1 answer
  • Kai wrote the characters to the phrase 567 GNATS on separate chips and put them in a container. She selected one tile at random.
    8·1 answer
  • What's the answer to x^2-6x-8?
    5·1 answer
  • Find the area of the figure.<br> (20 pts)
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!