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
A circle's radius is 25 inches.
Stella [2.4K]

Answer:

C≈157.08in

Step-by-step explanation:

C=2πr=2·π·25≈157.07963in

5 0
3 years ago
Read 2 more answers
How does changing the scale change the distance represented?
gavmur [86]
<span>No changing the map scale does not change actual distances. </span>
8 0
3 years ago
What is the area of triangle GHJ
EastWind [94]
A = 1/2 bh = 1/2 (3)(4) = 12/2 = 6

answer is B. 6 square units
4 0
3 years ago
A portable electronic typewriter cost £180 in 1988. Its price rose by 5% in 1989. What was the new price?
elena-s [515]

\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{5\% of 180}}{\left( \cfrac{5}{100} \right)180}\implies 9~\hfill \stackrel{\textit{new price}}{180+9\implies 189}

5 0
3 years ago
The orginal price :$45.00;markdown: 20%
Finger [1]

$36 because 20% of 45 is 9 and 45 - 9 is 36!

3 0
3 years ago
Read 2 more answers
Other questions:
  • pt) A jar contains jelly beans that are red, yellow, blue, and purple. Several people reach in and grab handfuls of jelly beans,
    11·2 answers
  • What are all the common factors of 24,64,88
    12·1 answer
  • The range of y = Arcsin x is<br> kle<br> A. True<br> B. False
    7·1 answer
  • Amy drove to her Mother’s house, which is 204 miles away. If it took her 3 hours, what was her average speed mph?
    8·2 answers
  • Please answer the question quickly
    6·1 answer
  • Given that
    12·2 answers
  • Solve the inequality. 4(x + 3) − 7 ≥ x + 3(x + 1)
    9·1 answer
  • Please help! quick I am fighting two bosses at the same time
    6·2 answers
  • What is the answer to this question?
    8·1 answer
  • Hi! ❤️ I’m looking for help here thanks. <br><br><br> giving brainliest if able to.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!