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
Marina86 [1]
1 year ago
15

Find the vertex of the graph of f(x)=-4(x-1)(x+5)

Mathematics
1 answer:
madreJ [45]1 year ago
7 0

The vertex of the graph is (h, k) = (- 2, 36).

<h3>How to find analytically the vertex of a quadratic equation</h3>

In this question we have a quadratic equation of the form f(x) = a · (x - r₁) · (x - r₂) and we need to transform the expression into its vertex form of determine the coordinates of the vertex. First, we need to exprand the expression:

f(x) = - 4  · (x - 1) · (x + 5)

f(x) = - 4 · (x² + 4 · x - 5)

f(x) = - 4 · x² - 16 · x + 20

Now we proceed to complete the square:

f(x) = - (4 · x² + 16 · x - 20)

- f(x) = 4 · x² + 16 · x - 20

- f(x) = (2 · x)² + 8 · (2 · x) - 20

- f(x) + 36 = (2 · x)² + 8 · (2 · x) + 16

- f(x) + 36 = (2 · x + 4)²

- f(x) + 36 = 4 · (x + 2)²

f(x) - 36 = - 4 · (x + 2)²

The vertex of the graph is (h, k) = (- 2, 36).

To learn more on quadratic equations: brainly.com/question/17177510

#SPJ1

You might be interested in
Slope of (-2,5)and(7,8)
grigory [225]

Answer:

The slope is 1/3

Step-by-step explanation:

8 – 5 = 3

_____________

7 – -2 = 9

3/9=1/3

4 0
3 years ago
Read 2 more answers
One of every four doctors recommended Tylenol. If there are 2250 doctors, approximately how many recommended the medicine ?
Mamont248 [21]
The answers is B 560
7 0
2 years ago
Read 2 more answers
The degree of the polynomial 10x^3 + 2x^m y - 4y is 3. What is the value of m?
Mumz [18]

Answer:

1

Step-by-step explanation:

x is 1 and y is 1 and the total is three so 1

4 0
3 years ago
SOMEONE PLEASE HELP ME
notka56 [123]
Area of deck= 2(20w)+4(w^2)+2(50w)d
456=2(20w)+4(w^2)+2(50w)

456=40w+4w^2+100w

456=4w^2+140w

114=w^2+35w

0=w^2+35w-114

find what 2 numbers multiply to get 114 and add to get 35 and factor

-3 and 38

0=(w-3)(w+38)

set each to zero

w-3=0

w=3
3 0
3 years ago
The function g(x) is defined by the equation g(x) = -3x² + x - 1.<br> Which is the value of g(1)?
Nutka1998 [239]

Answer:

-3

Step-by-step explanation:

g(1) = -3x² + x - 1

      = -3(1^{2}) + 1 -1

      = -3(1) + 1 - 1

      = -3 +1 -1

g(1) = -3

Just put the 1 everywhere you see an x.

Solve

6 0
3 years ago
Other questions:
  • Given a circle with measures of (C, d, and r) and a circle with measures of (C', d', and r'), what is C if d d' = 0.25 and C' =
    5·2 answers
  • In 1982 John Hinckley was on trial, accused of having attempted to kill the then US President Ronald Reagan. Hinckley was found
    14·1 answer
  • A clock has the diameter<br> of 12 inches. What is the<br> area? asap plz
    8·2 answers
  • Tickets for the front section to a rock concert cost $25 each. The back section tickets sold for $15 each. If 400 tickets were s
    15·1 answer
  • Find the dimensions of the square <br> Area=441cm over 2
    9·1 answer
  • 4 - 3x <br> ----------- = 5<br> 2
    5·2 answers
  • Number 1,2,3 and please show work xx
    11·1 answer
  • Which number line represents the solution set for the inequality-1/2x&gt;_4
    9·1 answer
  • Factor 6x + 30 to identify equivalent expressions. Select all that are equivalent expressions.
    14·2 answers
  • Can you help me find the answer quick
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!