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
Ronch [10]
2 years ago
11

Can someone please clearly and correctly solve and show me how to work out QUESTION 3 AND 4??

Mathematics
1 answer:
vredina [299]2 years ago
3 0
There are 2 options to solve that.
1. The first one is by derivatives. 
f(x)=x^2+12x+36
f'(x)=2x+12
then you solve that for f'(x)=0
0=2x+12
x=(-6)
you have x so for (-6) solve the first equation, then you find y
y=(-6)^2+12*(-6)+36=(-72)
so the vertex is (-6, -72)
2. The second option is to solve that by equations:
for x we have:
x=(-b)/2a
for that task we have
b=12
a=1
x=(-12)/2=(-6)
you have x so put x into the main equation
y=(-6)^2+12*(-6)+36=(-72)
and we have the same solution: vertex is (-6, -72)

For next task, I will use the second option:
y=x^2-6x
x=(-b)/2a
for that task we have
b=(-6)
a=1
x=(6)/2=3
you have x so put x into the main equation
y=3^2+(-6)*3=(--9)
and we have the same solution: vertex is (3, -9)

You might be interested in
Find the coordinates of the vertex of the following parabola algebraically. Write your answer as and x,y point
Likurg_2 [28]

The equation of the parabola in the vertex form is y =  (x - 3)^{2} - 5 with ( 3, -5) is the vertex of the parabola and 1 is the multiplier

In the above question, A parabolic equation is given as follows:

Y = x^2 - 6x + 4

The equation of the parabola in the vertex form is :

y = a (x - h)^{2} + k

Where a is a multiplier in the equation and (h,k) are the coordinates of the vertex

So, in order to obtain this form, we will use the method of completing square :

Y = x^2 - 6x + 4

y = x^{2} - 6x + (9 -9) + 4

y = (x - 3)^{2} + ( -9 + 4)

y =  (x - 3)^{2} - 5

where, ( 3, -5) is the vertex of the parabola and 1 is the multiplier

Hence, The equation of the parabola in the vertex form is y =  (x - 3)^{2} - 5 with ( 3, -5) is the vertex of the parabola and 1 is the multiplier

To learn more about, parabola, here

brainly.com/question/21685473

#SPJ1

8 0
1 year ago
!!20 POINTS!!<br> What are the names of three collinear points?
maks197457 [2]

Answer: L, J, K

Step-by-step explanation:

L, J, and K are collinear because they all lie on the same line.

8 0
2 years ago
Which describes the turn the angle on the circle shows?
Pachacha [2.7K]
The answer is D: 180 degrees counterclockwise
4 0
2 years ago
Simplify 8 over -4 divided by -3 over 9
Dima020 [189]

Answer: .074 continuing

8 0
3 years ago
Read 2 more answers
Please help! I will give brainliest to the correct answer!
vampirchik [111]

Answer:

Use desmos graphing calculator. Thats basically the answer to everything that involves graphing. gimme brainliest >:D

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Two times a number plus four is 22. What is the number
    5·2 answers
  • Patricia hugo and sun work at a music store
    5·2 answers
  • The perimeter of a rectangular garden is 292 feet. If the width of the garden is 67 feet, what is its length?
    14·2 answers
  • Use the distributive property to match equivalent expressions.
    12·2 answers
  • 3) the bakers at healthy bakery can make 360 bagels in 2 hours how many bagels can they back in 16 hours? What was the rate per
    5·1 answer
  • Solve the equation 3 - (2c– 8) = 7
    10·1 answer
  • Question in picture solve
    5·2 answers
  • 2b-3/b-2 = 3b/b+2 ... Solutions by cross multiplying
    6·1 answer
  • The graph shows China’s workforce from 2000 to 2019. A graph titled Percentage of Workers in Economic Sectors in China from 2000
    7·1 answer
  • The data to the right represent the cost of living for 20 states. The cost of living is a measure of the average price paid for​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!