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
gtnhenbr [62]
3 years ago
13

SHOW ALL WORK!!! Use the function f(x) = −16x2 + 24x + 16 to answer the questions. Part A: Completely factor f(x). (2 points) Pa

rt B: What are the x-intercepts of the graph of f(x)? Show your work. (2 points) Part C: Describe the end behavior of the graph of f(x). Explain. (2 points) Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part B and Part C to draw the graph. (4 points)

Mathematics
1 answer:
Zolol [24]3 years ago
6 0

Answer:

see below

Step-by-step explanation:

f(x) = −16x^2 + 24x + 16

Factor out -8

f(x) = -8( 2x^2-3x-2)

Factor

f(x) = -8 (x-2) ( 2 x+1)

Set equal to zero to find the x intercepts

0 =  -8 (x-2) ( 2 x+1)

Using the zero product property

x-2 =0   2x+1 =0

x=2     2x=-1

x=2   x = -1/2

The x intercepts are

(2,0)  and (-1/2,0)

The end behavior

Let x = -∞

f(x) = −16( -∞)^2 + 24( -∞) + 16

      The squared term dominates

     =  −16( -∞)^2 =   −16( ∞) =   −( ∞)

It goes to  -∞ as x goes to ( -∞)    

Let x = ∞

f(x) = −16( ∞)^2 + 24( ∞) + 16

      The squared term dominates

     =  −16( ∞)^2 =    −16( ∞) =   −( ∞)

It goes to  -∞ as x goes to ( ∞)    

We need the vertex, the zeros and the end behavior to graph the parabola

The vertex is  1/2 way between the zeros

(-1/2+2) /2 = 3/4

f(3/4) =  -8 (3/4-2) ( 2 *3/4+1) = 25

We know it opens down since the x^2 term has a negative coefficient

You might be interested in
Can y’all please help me fast
Amanda [17]

Answer:

Cant see.

Step-by-step explanation:

5 0
3 years ago
What is one hunded and twenty four plus two hundred and sixty
Murrr4er [49]

Answer:

384

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Tony borrows $7,000 from a friend
Orlov [11]

Answer:

5%100 ×R200

Step-by-step explanation:

Address and u the one for me please

3 0
3 years ago
Read 2 more answers
Pacturing Polynomials! GCH
grin007 [14]
Gross pay per days is 5h+8 dollars
Explanation:

we are given
total gross pay =35h+56 dollars
total number of days =7
we know that
gross pay per day = ( total gross pay)/(total number of days)
we can plug values
gross pay per day is

7 0
3 years ago
Original price? percent of discount: 80% sales price: $90
Lynna [10]

Answer:

18.00 dollars

Step-by-step explanation:

message me if you need help. Or this was not the answer you were looking for.

5 0
3 years ago
Read 2 more answers
Other questions:
  • Someone please help me
    14·1 answer
  • A=pir^2 solve for pi
    8·1 answer
  • A radioactive element has a half-life of six days. What is the approximate decay rate of the element after the first day?
    7·2 answers
  • Please give me the answer
    14·2 answers
  • Would this angle be name angle CUE or CUT ?
    9·1 answer
  • Please help me i really need help please
    14·1 answer
  • Hii i’ll give brainliest please help thanks :)
    9·2 answers
  • What does 4 yards equal
    14·2 answers
  • Simplify the fractions-a) 98/21b) 525/84
    14·1 answer
  • Find its x-coordinate.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!