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
mixer [17]
3 years ago
5

Find the vertex of the given quadratic function.

Mathematics
2 answers:
Crazy boy [7]3 years ago
7 0

Answer:

Choice B. The vertex is (6,-4)

Step-by-step explanation:

VikaD [51]3 years ago
6 0

Answer:

C. (6,-4)

Step-by-step explanation:

y = ax^2 + bx + c

1. expand  (x-8)(x-4) using the FOIL rule or the box method or the distribution rule

(x-8)(x-4) = x(x-4)-8(x-4)

(x-8)(x-4) = x*x+x*(-4)-8*x-8*(-4)

(x-8)(x-4) = x^2-4x-8x+32

(x-8)(x-4) = x^2-12x+32

x^2-12x+32

x^2-12x+32 is the same as 1x^2+(-12x)+32 which is in the form ax^2+bx+c. We know that a = 1, b = -12, c = 32

2. Use the values of a and b to find the value of h, which is the x coordinate of the vertex

h = -b/(2*a)

h = -(-12)/(2*1)

h = 12/2

h = 6

3. This is plugged back into the original function to find the y coordinate of the vertex. We can use either (x-8)(x-4) or x^2-12x+32 since they are equivalent expressions

k = y coordinate of vertex

k = f(h) = f(6) since h = 6

f(x) = (x-8)(x-4)

f(6) = (6-8)(6-4)

f(6) = (-2)(2)

f(6) = -4

keep in mind/note that

f(x) = x^2-12x+32

f(6) = (6)^2-12(6)+32

f(6) = 36-72+32

f(6) = -36+32

f(6) = -4

you get the same result using either expression

k = f(h) = f(6) = -4

Because h = 6 and k = -4, the vertex is (h,k) = (6,-4).

You might be interested in
Mr.Frazer needs Mr. Freezer needs to grade 100 Majid he graded 35 tests on Monday afternoon spending six minutes per test he gra
Naddika [18.5K]

Answer:

Mr.Frazer needs Mr. Freezer needs to grade 100 Majid he graded 35 tests on Monday afternoon spending six minutes per test he graded the

Step-by-step explanation:

er test he graded the remaining test Tuesday afternoon spending four minutes per test, how many hours in or did it take Mr. Fraser to grade his 100 math sheets?

3 0
3 years ago
Consider the sequence 2, 8, 3y + 5, ...
Elanso [62]
Im not sure Im just trying to get a answer and he a
8 0
3 years ago
What is the answer tho
tigry1 [53]

Answer:

to?

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Find the length and width of a rectangle with an area of 2x + x - 3.
pogonyaev
Hdjdbbxbshwvshs bdb scud
8 0
2 years ago
A car dealership sold 265 cars in 5 months. At what rate did the dealership sell cars in cars per month?
RideAnS [48]

Answer:

The dealership sold 53 cars per month.

Step-by-step explanation:

To solve this, simply divide 265 by 5 to find out how many cars were sold per month. If we do this, the answer is 53. The dealership sold 53 cars per month.

5 0
2 years ago
Other questions:
  • How old was Sarah x years ago if she is now 23?
    10·2 answers
  • On a map, 1 cm represents 30 km. Two cities on the map are 2.3 cm apart.
    9·1 answer
  • WILL MARK BRAINLIST ! Carissa also has a sink that is shaped like a half sphere. The sink has a volume of 20003π in3. One day th
    5·1 answer
  • Find the midpoint of A(5,8) and B(-9,-6)
    14·1 answer
  • Evaluate the following given x=5, and y=7<br><br> \large \frac{14x}{10y}=
    13·1 answer
  • 2.19=2.14(5)^x<br> What does x equal
    7·1 answer
  • please help, which option would the answer be??
    15·1 answer
  • Find the sum of the first 16 terms of an arithmetic sequence where a4=7 and a7= 16. (I need the procedure y Example) please
    5·1 answer
  • Matthew makes brackets and necklaces he uses 34 beads for each bracket and 72 beads for each necklace he makes 2 more necklaces
    13·1 answer
  • ASAP!!! PLEASE HELPPP!!Write an equation for the following sentence, then solve for the unknown value.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!