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
Arlecino [84]
3 years ago
12

9.

Mathematics
1 answer:
RSB [31]3 years ago
4 0

Answer:

Axis of symmetry: x = 0.5; Vertex: (0.5, –0.75); f(x) = –x2 + x – 1

Step-by-step explanation:

The answer is A because the axis of symmetry is in between 0 and 1, the vertex lies on 0.5 and -0.75, and the parabola opens down so the coefficient of a is -1, and the y-int or the value of c is -1

The vertex of the function is  axis of symmetry is  and the formula for the function is  Option (a) is correct.

Further Explanation:

Given:

Calculation:

The standard form of the parabola is shown below.

Here, the parabola has vertex at  and has the symmetry parallel to x-axis and it opens left.

The general form of the parabola can be expressed as follows,

The graph is a downward parabola.

From the graph it has been observed that the vertex of the parabola is

Symmetry of the graph is  

The -intercepts of the graph is  Therefore, the value of is  

The value of  is -1 as the graph is a downward parabola.

The vertex of the function is  axis of symmetry is  and the formula for the function is  Option (a) is correct.

Learn more:

1. Learn more about unit conversion brainly.com/question/4837736

2. Learn more about non-collinear brainly.com/question/4165000

3. Learn more aboutbinomial and trinomial brainly.com/question/1394854

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Conic sections

Keywords: vertex, symmetry, symmetric, axis, y-axis, x-axis, function, graph, parabola, focus, vertical parabola, upward parabola, downward parabola.

You might be interested in
**GIVING LARGE CHUNK OF POINTS FOR CORRECT ANSWER! PLEASE HELP! I DONT KNOW WHAT TO DO! IVE BEEN STUCK ON THIS FOR 2 DAYS! HELP
konstantin123 [22]

Answer:

https://www.slader.com/textbook/9781328900036-hmh-geometry/739/reflect/6/

Step-by-step explanation:

7 0
4 years ago
The equation of the graphed line in slope point form using the point (2,-1 ) is blank and it’s equation in slope intercept is bl
valkas [14]

Answer:

y=\frac{1}{4}x-\frac{3}{2} (Slope intercept form)

y+1=\frac{1}{4}(x_-2) (Slope point form)

Step-by-step explanation:

The slope of the line can be calculated as following:

m=\frac{-1-(-2)}{2-(-2)}=1/4

The the equation of the line in slope point form is:

y-y_1=m(x_-x_1)

Where (x_1,y_1) is a point of the line.

Then you must susbtitute the point given and the slope and you obtain:

y+1=\frac{1}{4}(x_-2)

The intercept form is:

y=mx+b

Where b is the y-intercept.

Solve for y from the equation of the line in slope point form obtained above, then:

y+1=\frac{x}{4}-\frac{2}{4}\\y=\frac{1}{4}x-\frac{2}{4}-1\\y=\frac{1}{4}x-\frac{3}{2}

8 0
3 years ago
What is the y intercept
quester [9]

Answer:

-2

Step-by-step explanation:

line crosses the y- coordinate (0,-2)

7 0
3 years ago
Find the equation of the lines parallel and perpendicular to the line 5x+2y=12 through the point (-2,3)
muminat

Answer:

The equation of line parallel to given line and passing through points        ( - 2 , 3 ) is 5 x + 2 y + 4 = 0

The equation of line perpendicular to given line and passing through points ( - 2 , 3 ) is 2 x - 5 y + 19 = 0

Step-by-step explanation:

Given equation of line as :

5 x + 2 y = 12

or, 2 y = - 5 x + 12

or , y = \frac{-5}{2} x + \frac{12}{2}

Or, y = \frac{-5}{2} x + 6

∵ Standard equation of line is give as

y = m x + c

Where m is the slope of line and c is the y-intercept

Now, comparing given line equation with standard eq

So, The slope of the given line = m = \frac{-5}{2}

Again,

The other line if passing through the points (- 2 , 3 ) And  is parallel to given line

So, for parallel lines condition , the slope of both lines are equal

Let The slope of other line = M

So,  M = m = \frac{-5}{2}

∴ The equation of line with slope M and passing through points ( -2 , 3) is

y = M x + c

Now , satisfying the points

So, 3 = \frac{-5}{2} × ( - 2 ) + c

or, 3 =  \frac{10}{2} + c

Or, 3 = 5 + c

∴  c = 3 - 5 = - 2

c = - 2

So, The equation of line with slope  \frac{-5}{2}  and passing through points ( -2 , 3)

y =  \frac{-5}{2} x - 2

or, 2 y = - 5 x - 4

I.e 5 x + 2 y + 4 = 0

<u>Similarly</u>

The other line if passing through the points (- 2 , 3 ) And  is perpendicular  to given line

So, for perpendicular lines condition,the products of slope of both lines = - 1

Let The slope of other line = M'

So,  M' × m = - 1

Or, M' ×  \frac{-5}{2} = - 1

Or, M' = \frac{-1}{\frac{-5}{2}}

Or, M' =  \frac{2}{5}

∴ The equation of line with slope M and passing through points ( -2 , 3) is

y = M' x + c'

Now , satisfying the points

So, 3 = \frac{2}{5} × ( - 2 ) + c'

or, 3 =  \frac{- 4}{5} + c'

Or, 3 × 5 = - 4 + 5× c'

∴  5 c' = 15 + 4

or, 5 c' = 19

Or, c' =  \frac{19}{5}

So, The equation of line with slope  \frac{2}{5}  and passing through points ( -2 , 3)

y =  \frac{2}{5} x +  \frac{19}{5}

y =  \frac{2 x + 19}{5}

Or, 5 y = 2 x + 19

Or, 2 x - 5 y + 19 = 0

Hence The equation of line parallel to given line and passing through points ( - 2 , 3 ) is 5 x + 2 y + 4 = 0

And  The equation of line perpendicular to given line and passing through points ( - 2 , 3 ) is 2 x - 5 y + 19 = 0

Answer

4 0
3 years ago
Simplify the expression. 6c − 8d + 3c + 4d
bixtya [17]

Answer:

9c -4d

Step-by-step explanation:

6c − 8d + 3c + 4d

Combine like terms

6c + 3c − 8d +4d

9c -4d

8 0
3 years ago
Other questions:
  • John measured the diameter of four steel rods. Compare his measurements, listed below. Which one is the largest
    6·1 answer
  • Bob is having a party and want to order some cake. there will be 57 guest and he wants to make sure that everyone gets a slice o
    14·1 answer
  • Suppose you roll a standard number cube and spin a spinner with four equal-sized sections labeled 1, 2, 3, 4. What is the probab
    9·1 answer
  • Classify the following triangle. Check all that apply.
    14·2 answers
  • What is the remainder when 3x^3-14x^2-14x+3 is divided by 3x + 5
    5·1 answer
  • What is <br>45% of $432?<br>please help
    12·2 answers
  • Pls help meeeee!!!! 3^5x-9= (1/27)^2x-8 for x. I alo put ia picture
    11·2 answers
  • I need help on this​
    13·1 answer
  • What operation would u use to convert millimeters to centimeters
    7·1 answer
  • Jesssie has a piece of wood that is 8 feet long. He needs to cut pieces that are 7/8 of a foot-long. How many pieces will he be
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!