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
g100num [7]
2 years ago
6

The functions f(x) = −(x − 1)2 5 and g(x) = (x 2)2 − 3 have been rewritten using the completing-the-square method. apply your kn

owledge of functions in vertex form to determine if the vertex for each function is a minimum or a maximum and explain your reasoning.
Mathematics
1 answer:
ale4655 [162]2 years ago
8 0

The vertex of the function f(x) exists (1, 5), the vertex of the function g(x) exists (-2, -3), and the vertex of the function f(x) exists maximum and the vertex of the function g(x) exists minimum.

<h3>How to determine the vertex for each function is a minimum or a maximum? </h3>

Given:

$\mathrm{f}(\mathrm{x})=-(\mathrm{x}-1)^{2}+5$ and

$\mathrm{g}(\mathrm{x})=(\mathrm{x}-2)^{2}-3$

The generalized equation of a parabola in the vertex form exists

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

Vertex of the function f(x) exists (1, 5).

Vertex of the function g(x) exists (-2, -3).

Now, if (a > 0) then the vertex of the function exists minimum, and if (a < 0) then the vertex of the function exists maximum.

The vertex of the function f(x) exists at a maximum and the vertex of the function g(x) exists at a minimum.

To learn more about the vertex of the function refer to:

brainly.com/question/11325676

#SPJ4

You might be interested in
Which represents a quadratic function?
stiks02 [169]
F(x)=x2 + 2x - 5 represents a quadratic function
6 0
3 years ago
Kate gave 5/6 of her CD's to Sue
Alexus [3.1K]
Y=0.72(3) i think tht is the answer
7 0
3 years ago
Roger had a farm with a certain number of orange trees. he had to cut down 5 trees to control the insects. each of the remaining
Oksi-84 [34.3K]
41790/210 = 199
199 + 5 = 204.
3 0
3 years ago
Read 2 more answers
What is the 214 term in the sequence 7,10,13,16?
mixer [17]
We can figure this out using the explicit formula.

f(n)=f(1)+d(n-1)

n represents the term we are looking for.
f(1) represents the first term in the sequence, which in this case, is 7.
d represents the common difference, which in this case, is +3.

f(n) = 7 + 3(n - 1)
f(n) = 7 + 3n - 3
f(n) = 4 + 3n

Now, we can input 214 for n and solve.

f(214) = 4 + 3(214)
f(214) = 4 + 642
f(214) = 646

The 214th term in this sequence is 646.
5 0
3 years ago
There is a stack of books that is 12 4/9 inches tall. If we take a book off the stack that is 2/9 inches thick. How high is the
Yanka [14]

Answer: It would be 12 2/9

Step-by-step explanation: 4/9-2/9=2/9 Hope this helps!:)

7 0
3 years ago
Other questions:
  • If a smaller replica of the ferris wheel was constructed, what conclusions could you draw about the central angle of the origina
    5·2 answers
  • a line segment of length 84cm has been divided into two parts in the ratio 4:3 find the length of each part​
    8·1 answer
  • Tina rolls two fair number cubes numbered from 1 to 6. She first defines the sample space as shown below:
    15·1 answer
  • Please help 1st grade homework
    11·2 answers
  • What are the extremes of the following proportion 3/15 = 12/60
    5·2 answers
  • Choose the point-slope form of the equation below that represents the line that passes through the point (6, -3) and has a slope
    7·1 answer
  • Plz help I’m timed :(
    9·2 answers
  • PLEASE HELP ME PLEASE LOL<br> Solve for x and y. Round your answers to the nearest tenth.
    15·2 answers
  • Grades do Friday plz help I’ll do anything 1. Write an equation in standard form for the line shown
    7·1 answer
  • This is for today someone help me!!!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!