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
iris [78.8K]
3 years ago
9

The functions f(x) = (x + 1)2 − 2 and g(x) = −(x − 2)2 + 1 have been rewritten using the completing-the-square method. Is the ve

rtex for each function a minimum or a maximum? Explain your reasoning for each function.

Mathematics
1 answer:
Naddika [18.5K]3 years ago
3 0

Answer:

  • f(x) vertex is a minimum
  • g(x) vertex is a maximum

Step-by-step explanation:

The reasoning is the same in each case: the sign of the coefficient of the squared term indicates the direction the parabola opens. If it opens upward, the vertex is a minimum; if it opens downward, the vertex is a maximum.

f(x) -- the sign of the squared term is positive, so the vertex is a <em>minimum</em>.

g(x) -- the sign of the squared term is negative, so the vertex is a <em>maximum</em>.

You might be interested in
Please assist me<br><br>NO LINKS!!<br>​
Nana76 [90]

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today, I hope you are having a nice day!

We can solve this in two steps, Comprehension and Solving. I'll go ahead and start with Comprehension.

If you have any questions feel free to ask away!!

Comprehension

We know according to the laws of geometry that all angles in a triangle add up to 180 degrees.

We also know that in an isosceles angle, the base angles are equation to each other.

Now that we know what we need to know, we can setup an equation.

2x-6+(2x)=180

We can do this because first of all, we know that 2x-6 is one of the angles and as per the base angles of an isosceles triangle we know that both base angles are x, therefore we can add 2x to get 180 degrees.

I'll start solving now.

Solving

We can solve this by using the equation we made above and solving it with algebra.

2x-6+2x=180\\4x-6=180\\4x=186\\x=46.5

We know that x is equal to 46.5 degrees. We can check that by inputting it into the equation.

2(46.5)-6+2(46.5)=180?\\4(46.5)=186?\\46.5=46.5

We've proven that our answer is correct by double checking,

Therefore the answer is 46.5!

Cheers!

4 0
2 years ago
A rock climber ascends 18 3/4 feet to the top of a rock ledge. He descends 8 1/8 feet and takes a break on a rock outcrop. Write
aalyn [17]

Answer:

3

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
There’s this one as well
Doss [256]

Answer:

V= area of cross-section x length

V = 0.5x(8x9) x 11

V = 396cm^3

Hope this helps!

6 0
2 years ago
How many 3 letter codes are possible using a-j without repeats?
Dennis_Churaev [7]
There are 10 letters in the set {a, b, c, d, e, f, g, h, i, j} which is the pool of letters to choose from when making these three letter codes.

We have 10 choices for slot 1
Then 9 choices for slot 2. This is because we can't reuse the choice for slot 1
Then 8 choices for slot 3

Overall, there are 10*9*8 = 90*8 = 720 different permutations

Answer: 720

Note: you can use the nPr permutation formula with n = 10 and r = 3 to get the same answer
5 0
3 years ago
Which equation describes the same line asy- 3 =-1(x+ 5)?
aliya0001 [1]
The answer would be A
6 0
3 years ago
Other questions:
  • The inequality 7-2/3 &lt; x-8 is equivalent to
    13·1 answer
  • yuto left his house for bike ride at 10am. when riko left yuto was 5.25 miles along path. if yutos average speed was 0.25 mpm an
    6·1 answer
  • In how many ways can 4 boys and 4 girls sit around a circle table if each boy sits directly between two girls? (rotations of the
    7·1 answer
  • Simplify √5(10-4√2)<br><br> A.14<br> B.15√2<br> C.5√2-4√10<br> D.NONE OF THE ABOVE
    15·2 answers
  • Jamal wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn, so he needs no fence
    6·1 answer
  • Please answer
    11·2 answers
  • A family has two cars during one particular week the first car consumed 25 gallons of gas and the second consumed 40 gallons of
    7·1 answer
  • 6. In a toy factory, 200 wooden closed cylinders of diameter 35 mm and height 7 cm have to be painted. What is the total surface
    7·2 answers
  • I will give brainliest but please explain!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    11·2 answers
  • Which of the following expressions are equivalent to -3 x 3 x -4/9
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!