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
serg [7]
2 years ago
6

Write y=-3x^2-18x-31 in vertex form

Mathematics
2 answers:
Ahat [919]2 years ago
8 0
-3(x+(3))^2-4 is the answer

MissTica2 years ago
5 0
Get it into f(x)=a(x-h)²+k form
basically complete the square

so
steps
1. isolate x terms
2. factor out coefient of x^2 term
3. take 1/2 of linear coefient (x term) and square it and add negative and positive inside of parenthasees
4. factor perfect square
5. expand
6. bow


so
f(x)=-3x²-18x-31
group
f(x)=(-3x²-18x)-31
undistribute coefient
f(x)=-3(x²+6x)-31
take 1/2 of 6 and square it (6/2=3, 3²=9), add positive and negative of it inside
f(x)=-3(x²+6x+9-9)-31
factor perfect square
f(x)=-3((x+3)²-9)-31
expand/distribue
f(x)=-3(x+3)²+27-31
f(x)=-3(x+3)²-4


answer is
f(x)=-3(x+3)²-4
You might be interested in
Factor the expression. 6x^2 + 5x + 1
Whitepunk [10]

Answer:

Option C

Step-by-step explanation:

6x² +5x + 1

6x² + 3x + 2x + 1

3x(2x + 1) + 1(2x + 1)

(3x + 1)(2x + 1)

6 0
3 years ago
Read 2 more answers
The ____ are two straight dotted lines, one horizontal and one vertical.
Airida [17]
The correct term that would best complete the given statement above would be the word GUIDES. The guides <span>are two straight dotted lines, one horizontal and one vertical. This term "guide" is one of the terms used in Microsoft Powerpoint. Hope this is the answer that you are looking for. Thanks for posting!</span>
5 0
3 years ago
Mr Harrison is 9 months old. How old is Mr Harrison daughter in days​
Reil [10]

Answer:

273.75 days

Step-by-step explanation:

3 0
2 years ago
The area of a circle is 49π m2. What is the radius?
olga55 [171]

Answer: r= 3.95

Explanation: A=πr2

5 0
3 years ago
Read 2 more answers
What is the average rate of change for this exponential function for the
zhannawk [14.2K]

Answer:

1.5

Step-by-step explanation:

The average rate of change is 1.5

when x=0 , the value of y =1

when x=2 the value of y = 4

<em>average rate of change formula = </em>\frac{f(b)-f(a)}{b-a}

a= 0 , f(a)=1

b=2, f(b)= 4

4 - 1 / 2 - 0 = 3/2 = 1.5

6 0
1 year ago
Other questions:
  • How do you add and subtract polynomials?
    6·1 answer
  • 1/1×3 + 1/3×5 + ... + 1/47×49 HELP PLZ
    8·1 answer
  • BRAINLIEST FOR FIRST ANSWER!!! A right rectangular pyramid is sliced parallel to its base as shown in the figure.
    8·2 answers
  • Solve for the given length:
    13·1 answer
  • Solve the equation.<br> Z<br> -7=<br> 3<br> 12<br> 7<br> Oz=<br> 3<br> Oz=2<br> Oz=-21<br> Oz=21
    11·1 answer
  • NEED HELP ASAP <br> given m||n find the value of x
    12·1 answer
  • LAST ONE I NEED HELP ON PLEASE
    9·1 answer
  • Is this right? I’m currently taking an assessment and I need to make sure I am right.
    8·2 answers
  • HELP SMART PPL!!!!!!!!!!!!!!!!!
    14·1 answer
  • Is it true or false??
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!