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
Karo-lina-s [1.5K]
3 years ago
10

The graph of which function has a minimum located at (4, –3)?

Mathematics
2 answers:
Anton [14]3 years ago
8 0
f(x)=ax^2+bx+c

The graph of this function has minimum if a > 0.

Minimum is in point (h; k) where:

h=\dfrac{-b}{2a};\ k=f(h)

minimum(4;-3)\to h=4;\ k=-3

f(x)=x^2+4x-11;\ a=1 > 0;\ b = 4\\\\h=\dfrac{-4}{2\cdot1}=-2\neq4

f(x)=-2x2+16x-35;\ a=-2 < 0

f(x)=x^2-4x+5;\ a=1 > 0;\ b=-4\\\\h=\dfrac{-(-4)}{2\cdot1}=\dfrac{4}{2}=2\neq4

f(x)=2x^2-16x+35;\ a=2 > 0;\ b=-16\\\\h=\dfrac{-(-16)}{2\cdot2}=\dfrac{16}{4}=4\\\\k=f(4)=2\cdot4^2-16\cdot4+35=2\cdot16-64+35=32-64+35=3\neq-3

Answer: Any graph of this functions hasn't a minimum located at (4; -3).

If the coordinates of minimum are (4; 3),
then your answer is f(x) = 2x² - 16x + 35

adelina 88 [10]3 years ago
3 0

Answer:

f(x) = 1/2x^2 – 4x + 5  (the third option)

Step-by-step explanation:

On ed :)

You might be interested in
(a) An angle measures 140 . What is the measure of its supplement? (b) An angle measures 36 . What is the measure of its complem
Lesechka [4]
A: 40 because supplements add up to 180
B: 54 because complements add up to 90
6 0
3 years ago
1. A sphere is sliced so that the cross section does not intersect the center of the sphere.
stich3 [128]
1. The shape of cross-section is a circle.
2. The face parallel to ABCD is EFGH. Since this is a a rectangular shape,

A = L*H = 12*6 = 72 cm^2

3. The cross-section parallel to ABC is DEF with h = 12 ft, b= 5ft (where h is the height and b is the base of a right angled triangle).

Area, A = 1/2 *b*h = 1/2*5*12 =30 ft^2

4. Plane BDHF is a rectangle shape whose length is the diagonal of ABCD.

Diagonal BD = sqrt (AB^2+BD^2) = sqrt (8^2+7^2) = 10.63 cm.
Perimeter, P = 2(BD+DH) = 2(10.63+6) = 33.26 cm
8 0
3 years ago
Read 2 more answers
Find three consecutive odd integers such that
Anuta_ua [19.1K]

Answer:

17, 19, 21

Step-by-step explanation:

x = first number

x+2 = second number

x+4 = third number

4x + 3(x+2) + 2(x+4) = 167

simplify:

4x + 3x + 6 + 2x + 8 = 167

combine like terms:

9x + 14 = 167

subtract 14 from each side of the equation:

9x = 153

divide both sides by 9:

x = 17

7 0
3 years ago
Wich symbol makes the following statement true ?
azamat
The answer is < because 431,511 is more than 413,115

4 0
3 years ago
Read 2 more answers
PLS HELP ME
s2008m [1.1K]
The students on the right hand side had better overall results

There were less people on the left hand side of the room this affects the average even with the right hand side having two zeros, another thing which the left hand side didn’t have.

Hope I helped
3 0
2 years ago
Other questions:
  • Which characteristics describe the scatterplot? Check all that apply.
    5·2 answers
  • Which point is a solution of x+2y&lt;_ 4
    13·1 answer
  • What two numbers multiply to -30 and add to 1?
    11·1 answer
  • What is the value of k?
    14·1 answer
  • Transversal Problems with Equations (Level 1)
    5·1 answer
  • Evaluate the following expression:<br><br> -4xy when x = 1/4 and y = -3.
    7·1 answer
  • Is 9x-3y=12 and 27x+9y=38 parallel or perpendicular
    9·1 answer
  • Suppose that you want to model the height of a rider on a Ferris wheel has a function of time, t, in minutes. If the rider is at
    11·2 answers
  • Tell whether each sequence is arithmetic. Justify your answer. If the sequence is arithmetic, write a recursive formula and an e
    6·1 answer
  • Please answer .....
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!