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
belka [17]
1 year ago
12

35 POINTS please help asap

Mathematics
1 answer:
andrezito [222]1 year ago
7 0

The quadratic equation given in the graph can be represented in these two following ways:

  • Factored: f(x) = 2x(x - 4).
  • Vertex form: y = 2(x - 2)² - 8.

<h3>What is the Factor Theorem?</h3>

The Factor Theorem states that a polynomial function with roots x_1, x_2, \codts, x_n is given by:

f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)

In which a is the leading coefficient.

In this graph, the roots are x_1 = 0, x_2 = 4, hence the factored form of the polynomial is:

f(x) = ax(x - 4).

When x = 5, y = 10, hence the leading coefficient is found as follows:

10 = 5a(5 - 4)

5a = 10

a = 2.

Hence the factored form of the polynomial is:

f(x) = 2x(x - 4).

<h3>What is the equation of a parabola given it’s vertex?</h3>

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

In this problem, the vertex is at point (2,-8), hence h = 2, k = -8 and:

y = a(x - 2)² - 8

When x = 5, y = 10, hence the leading coefficient is found as follows:

10 = a(5 - 2)² - 8

9a = 18

a = 2.

Hence the equation in vertex-form is:

y = 2(x - 2)² - 8

More can be learned about quadratic functions at brainly.com/question/24737967

#SPJ1

You might be interested in
K - 2( k - ( 2- k ) - 2
mamaluj [8]
Assuming the missing parenthesis is at the end the simplified answer should be k-8
5 0
3 years ago
1<br> 1 point<br> Find the difference:<br> 5.2 -0.12 = type your answer...
ira [324]
And the answer is......

5.08
6 0
3 years ago
Read 2 more answers
3
marta [7]

Answer:

C

y-y1=m(x-x1)

y-0=0(x-10)

y=0

3 0
3 years ago
U-94<br> ——- = -2<br> -2<br> What is the answer to this question?
Tamiku [17]

u-94=0

u=94

because -2 and -2 will reduced

4 0
3 years ago
Read 2 more answers
I WILL GIVE BRAINLIEST PLEASE ANSWER FAST
olchik [2.2K]
This link does not go to anywhere
6 0
3 years ago
Other questions:
  • Thom's restaurant bill is 45$ and he leaves a 20 percent tip. what is the total cost for thom's meal
    7·2 answers
  • Antisocial personality disorder (ASPD) is characterized by deceitfulness, reckless disregard for the well-being of others, a dim
    5·1 answer
  • Find the circumference and the area of a circle with diameter 4 ft.
    15·1 answer
  • Abcd is a rectangle. Find the length of each diagonal. .AC= 3y/5 BD=3y-4
    13·2 answers
  • The admission to the fair is $5 and the cost per ride is 50 cents. If his parents give hime $20, write and solve a linear equati
    6·1 answer
  • Amir invests $4,000 in a 5-year cd paying 3.5% interest. How much interest will he make on the cd in 5 years? The simple interes
    15·1 answer
  • Given: ⅓ (18x + 27) = 81 Prove: x = 12
    8·1 answer
  • Calculate the surface area of this rectangular prism​
    12·1 answer
  • If t1 = 4, s1 = 5, and s2 = 2, determine the value of t2
    11·1 answer
  • Aiko needs solid color and patterned fabric for a sewing project. Fabric costs $7.99 per yard. She needs 2 1/3 yards of solid fa
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!