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]
2 years ago
15

I need help with this question for my maths classwork

Mathematics
1 answer:
cluponka [151]2 years ago
3 0

<em>Note: Please note that you missed adding the option points. So, I am solving the entire function to determine the points and the vertex which would anyways clear your concept.</em>

Answer:

The vertex is located at (3, 7)

some of the points will make the table such as:

x       0           1           2          3          4

y      -2          3           6           7          6

The graph is attached below.

Step-by-step explanation:

Given the table

y\:=\:6x-2-x^2

The given equation is of the form quadratic function y = ax² + bx + c. Thus, it represents the Parabola.

  • As the leading coefficient of the parabola is -2, thus the Parabola opens down.

We know that the vertex would be the highest point on the Parabola graph if the graph (Parabola) opens down.

Thus, the given Parabola has the vertex point at the highest point of the Parabola as shown in the attached figure.

Finding the Vertex:

y = -x² + 6x - 2

comparing with y = ax² + bx + c

a = -1, b = 6, c = -2

Finding the x-coordinate of the Vertex

x = -b / 2a

x = [-6] /[2(-1)]

x = [-6 ] / [-2]

x = 6/2

x = 3

Thus, the x-coordinate of the vertex : x = 3

Now substituting x = 3 in the equation y = -x² + 6x - 2 to determine the y-coordinate of the vertex

y = -x² + 6x - 2

y = -(3)²+6(3)-2

y = -9 + 18 - 2

y = 18 - 11

y = 7

Thus, the y-coordinate of the vertex : y = 7

Therefore, the vertex is located at (3, 7)

Now, finding some other points lie on the Parabola

y = -x² + 6x - 2

Putting x = 0 in the main function

y = -(0)² + 6(0) - 2

y = 0 + 0 - 2

y = -2

Thus, the y-intercept lies on (0, -2)

Putting x = 1 in the main function

y = -x² + 6x - 2

y = -(1)² + 6(1) - 2

y = -1 + 6 - 2

y = 3

Thus, the point (1, 3) lies on the Parabola

Putting x = 2 in the main function

y = -x² + 6x - 2

y = -(2)² + 6(2) - 2

y = -4 + 12 - 2

y = 6

Thus, the point (2, 6) lies on the Parabola

Putting x = 3 in the main function

y = -x² + 6x - 2

y = -(3)² + 6(3) - 2

y = -9 + 18 - 2

y = 7

Thus, the point (2, 7) lies on the Parabola

Putting x = 4 in the main function

y = -x² + 6x - 2

y = -(4)² + 6(4) - 2

y = -16 + 24 - 2

y = 6

Thus, the point (4, 6) lies on the Parabola

Hence, some of the points will make the table such as:

x       0           1           2          3          4

y      -2          3           6           7          6

The graph is attached below.

You might be interested in
Bạn phương có 1.2tỷ đồng đang cân nhắc đầu tư vào các dự án sau
Sunny_sXe [5.5K]

Answer:

sssssssss

Step-by-step explanation:

ssssssss

3 0
3 years ago
1/4 diveided bye 9/10
Gnom [1K]
The answer is 1/360
8 0
2 years ago
Read 2 more answers
From a standard deck of cards, what is the probability that you draw a diamond, replace it and then draw a club?
Crank

Answer:

25% most likely

Step-by-step explanation:

If you divide the numbers by 100 then you get ez answer XD

8 0
3 years ago
Read 2 more answers
A bank loans ​$2100 to a business at 7​% for 3 months. How much simple interest will the bank​ earn?
Natali [406]

Answer:

  $36.75

Step-by-step explanation:

The amount of interest payable is given by ...

  I = Prt = $2100·0.07·(3/12) . . . . . . . . t is in years

  I = $36.75

The bank earned $36.75 on the loan.

7 0
3 years ago
In 5 rounds of a game, Jill scored -3,8,9,-7, and 13. What integer represents her average score for the 5 rounds?
IgorC [24]
The answer is 9 because 5*(-3)+8+9-(-7)=9
5 0
3 years ago
Other questions:
  • Which number in the monomial 215x18y3z21 needs to be changed to make it a perfect cube?
    12·2 answers
  • Nancy and bill collect coins. Nancy has x coins. Bill has 7 coins fewer than 2 times the number of coins Nancy has. Write and si
    7·1 answer
  • Round each addend to the nearest whole number and estimate the sum.
    14·1 answer
  • sweety's ice cream shop sells ice cream by weight. they charge $6.95 per pound. if your dish of ice cream weighs 0.42 pounds, ho
    14·1 answer
  • Question #7multiplechoice score: in a certain candy store, 3 pounds of candy and 2 pounds of mints cost $10.80, and 1 pound of c
    10·1 answer
  • Joshua rented a movie for $4.49 from Cinema Rentals. If the movie is not returned on the due date, Cinema Rentals charges an
    6·1 answer
  • Plz help me with this???
    11·2 answers
  • The circumference of a circle is 407 cm. Find the diameter, the radius, the length of an arc of 100°, and the area of a sector w
    12·1 answer
  • An angle measures 16° more than the measure of its complementary angle. What is the measure of each angle?
    14·1 answer
  • Hey guys is this correct?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!