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
A truck is carrying 3 tons of cement and 150 pounds of bricks. How many pounds does the truck's load weigh in total?
wariber [46]
6150 not sure but if im wrong im so sorry
5 0
3 years ago
Read 2 more answers
Y 2 - x +4<br> x+y&lt;0<br><br> someone plz help me
olga nikolaevna [1]
Are these two separate questions?
8 0
3 years ago
Your dining table is 6 feet long and 4 feet wide. The table's
NeTakaya

9 feet

Step-by-step explanation:

The table cloth would be 9 feet in length

6 0
3 years ago
PLEASE HELP, DUE SOON !!
nydimaria [60]

Answer:

-0

Step-by-step explanation:

W = -3

X = 3

Z = -9

Y = 6

-3 + 3 = 0

-9 + 6 = -3

-3 + 0 = -3

Then -3 is closest to -0! Cause when rounding, 4 and under as an example as 24 the round will be 20! And 25 will be 30

8 0
3 years ago
Elise put a magnet into a drawer. One-half of the items in the drawer stuck to the magnet. What fraction of the items in the dra
irinina [24]

Answer:

C.  

1/2

Step-by-step explanation:

To get the fraction of items that are not magnetic, subtract the fraction that stuck to the magnet (1/2) from 1 whole, or 2/2:

2/2 - 1/2 = 1/2

Thank you,I appreciate you asking this question

have a nice and relaxed day ! hope I helped .

3 0
3 years ago
Other questions:
  • The cone shown has a volume of 48 pi cubic inches. what is the radius of the cone?
    11·1 answer
  • To reduce a number to a specified number of digits without rounding it you simply cut it off
    14·2 answers
  • How much dirt is in a hole that is 36 inches long, 2 yards wide , and 6 feet deep ?
    8·1 answer
  • the graph of a circle that represents a large pool to be built at a hotel.the circle has center (-90, -60) and radius 75 ft. wha
    8·1 answer
  • a quadratic function has been translated 5 units up and 7 units left and it is vertically stretched by a factor of 2​
    14·1 answer
  • The ratio of girls to boys in a sports club is 3: 5
    5·2 answers
  • On Thursday evening Malcolm's bank balance was −£107.35.
    6·1 answer
  • **!!URGENT!!** A line passes through the points (9,-2) and (-1,8). What is the y-intercept of this line?
    9·1 answer
  • The perimeter of a square is 28cm.<br> Work out the area of the square.
    10·2 answers
  • A line passes through the points A(-1,7) and B(1,3). Write an equation of this line.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!