Introduction to Quadratic Function | Examples of Quadratic Function
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- Опубліковано 30 лип 2024
- This video will give you the definition of quadratic function.
Parts of Parabola and on how to identify whether the following representation represent a quadratic function.
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For my online students, write some remarkable points/notes about QUADRATIC FUNCTION.
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Thank you.
Two kinds of parabola (function)
•open upward and downward
(parts of parabola)
• opening of the parabola
• vertex - if the parabola is downward automatic your vertex is the highest point of the parabola.
- if the parabula is upward automatic you vertex is the lowest points of parabola.
• axis of symmetry - it creat a mirror effect.
Thank you po sir (Archimedes)
Done(Archimedes)
Quadratic Function
- a second degree polynomial represented as f(x)=ax^2+bx+c also known as the standard form or y=ax^2 + bx +c, a not equal 0 where a, b, and c are real numbers.
Parabola - The graph used for quadratic function.
There are four parabola but two of parabola is a function.
Parts of Parabola:
- The Opening
- The vertex
- Axis Symmetry
Sir you helped me alot I really appreciate your tutorial math vids
Thank you po sir for uploading videos about math, malaking tulong po ito para sa amin.
God bless po! 😊
Salamat sa appreciation.
More uploads p para mas marami kyong matutunan.
Review done po, thank you sir (9-archimedes)
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A Quadratic function is a second degree polynomial represented as f(x)=ax^2+bx+c or y=ax^2+bx+c where a,b and c are real numbers.
Sa lahat po ng video na pinanood ko at hinahaanap ko ito lang po ang benificial, thank you so much pooooo! More lesson to commmmee po!
Thanks
Noted. Thank you Sir
I will now apply this in my learning tasks. Such an awesome discussion🤍
Thanks. Keep it up
Thank you very much for your video tutorials. Sana ganyan din kalinaw magpaliwanag ang lahat ng teachers. Sure papasa lahat ng students✔️👏
Thank u so much po sir! Malaking tulong po para sa amin yung mga videos na ginagawa nyo.
PARABOLA - the graph of a quadratic function.
More videos to come po sir. God bless!
Wow...salamat salamat...😊
More power din s iyong channel.
A quadratic function is a second degree polynomial, Represented as
f(x)= ax²+bx+c,. OR y=ax²+bx+c.
a≠0 where a,b and c are real numbers.
Standard form: f(x)= ax²+bx+c/y=ax²+bx+c
Vertex form: f(x)= a(x-h)²+k/y=a(x-h)²+k
Parabola: The graph used for quadratic function.
(U)or Downwards (U)
Parts of parabola;
Opening of the parabola.
Axis of synmetry.
Vertex.-Lowest point/Highest point
There are 3 different ways on how to represent an function.
1.By equation.
2.By table of values.
3.By graph.
9-Galileo
-Calcita
Thank you sir (Archimedes) hays
Quadratic function
-Is a second degree polynomial represented as f(x)= ax^2+bx+c or y= ax^2+bx+c,a≠0 where a,b and c
Standard form
-F(x)=ax^2+bx+c
Vertex form
-f(x)=a(x-h)+k
Parts of Parabola
-Opening of Parabola
Downward or upward
-Vertex
-Axis of symetery
Thank you sir (archimedes)
Quadratic function
- is a second degree polynomial represented as f(x)=ax^2+bx+c also known as the standard form or y=ax^2+bx+c, a not equal 0 where a,b and c are real numbers
Thanks po sir(9-Archimedes)
Quadratic function is a second degree polynomial represented as f(x)=ax^2+bx+c or y=ax^2+bx+c where a,b and c are real numbers.
Thank you po, Sir!! Mali pala po yung order na videos na napanood ko, nauna ko po yung parabola na po agad, tapos nahuli ko po itong quadratic function HAHAHAHAHAHA. Pero okay lang po, nagtake down notes naman po akooo. Thank you po ulitt!! 🥰💚
Hahaah nice one
Thank you po for uploading videos about math☺💗
Welcome po
FIRST VIEWER TEACHER LOVE UR VIDZ BCAUSE IT HELPS ME💛💛
Thank you so much.
thank you for the good lesson sir.
Thank you
Done po sir (Galileo) Quadratic Function - Is a second degree polynomial represented as f(x)=ac^2+bx+c or y=ax^2+bx+c , where a,b and c are real numbers. Standard form - f(x)+ax^2+bx+c Vertex form - f(x)=a(x-h)^2+k The graph of a quadratic function is a called parabola 4 parabola but 2 is function
Done po sir. Thank you!
9 - Archimedes
*Quadratic function
- is a second degree polynomial represented as f(x)=ax^2+bx+c also known as the standard form or y=ax^2+bx+c, a is not equal 0 and where a, b and c are real numbers.
*Standard Form: f(x)=ax^2+bx+c / y=ax^2+bx+c
*Vertex Form: f(x)=a(x-h)^2+k / y=a(x-h)^2+k
*Parabola
- the graph of a quadratic function.
*Two kinds of parabola
-one with the arrow heads going upwards and one with it going downwards.
*Parts of parabola
- the opening of the parabola
- vertex - if the parabola is opening downward then automatic the vertex is the highest point of the parabola or its peak.
- if the parabola is opening upward then automatic the vertex is the lowest points of parabola.
- axis of symmetry - It can serve to divide the parabola and it creates a mirror effect.
Done thank you sir
(9 - Archimedes)
*Quadratic Function*
- a *second degree* polynomial represented as f(x) = ax² + bx + c or y = ax² + bx + c, a is not equal to 0 where a b and c are real numbers
- f(x) = y
• standard form = f(x) = ax² + bx + c/y = ax² + bx + c
• vertex form = f(x) = a(x - h)2 + k/y = a(x - h)2 + k
*Parabola* -graph of a quadratic equation.
- a parabola has two openings one with the arrows facing upwards and the other one with the arrows facing downwards.
*Parts of a parabola*
- opening of the parabola
- vertex ( the lowest or the highest point of the parabola)
- axis symmetry
*Representations of a quadratic function*
1.) by equation
2.) table of values
3.) by graph
Done po sir ty(Archimedes)
Quadratic function
- is a second degree polynomial represented as f(x)=ax^2+bx+c also known as the standard form or y=ax^2+bx+c, a not equal 0 where a,b and c are real numbers
Parabola
-Parabola is the graph used for quadratic function
-There are four parabola but two of parabola is a function.
Parts of parabola:
-the opening
-the vertex
-axis symmetry
Thank you..
Clarite (Galileo)
Quadratic Function
- a second degree polynomial represented as f(x)=ax^2+bx+c also known as the standard form or y=ax^2+bx+c, a not equal 0 where a, b, and c are real numbers.
Parabola- the graph used for quadratic function
There are four parabola bur two parabola is a function
Parts of parabola:
- the opening
- the vertex
- axis symmetry
Ruenata (Galileo)
> A Quadratic function is a second degree polynomial represented as f(x)=ax^2+bx=c or y=ax^2+bx+c
> a is not equal to zero; a,b, and c are real numbers
> f(x) = y
> Parabola - graph of a Quadratic Function
> Two openings of a Parabola:
1. open upward
2. open downward
> Parts of a Parabola:
1. opening
2. axis of symmetry
3. vertex
> if the 2nd difference of the table of values are all the same, it shows a quadratic function
Quadratic Function
- a second degree polynomial represented as f(x) = ax^2+bx+c or y=ax^2+bx+c.
Standard form: f(x) = ax^2 + bx + c / y=ax^2+bx+c
Vertex form : f(x) = a(x-h)^2+k / y=a(x-h)^2+k
The graph of a quadratic function is a PARABOLA
Quadratic function
- is a second degree polynomial represented as f(x)=ax^2+bx+c also known as the standard form or y=ax^2+bx+c, a not equal 0 where a,b and c are real numbers
Standard Form : f(x) = ax² + bx + c
Vertex Form: f(x) = a(x - h)² + k
- Parabola - the graph of a quadratic function
done po ( archimedes )
quadratic function is a second degree polynomial
f(x) = y
standard form: f(x) = ax²+bx+c / y = ax²+bx+c
vertex form: f(x) = a(x-h) ²+k / y = a(x-h) ²+k
Parabola - the graph of a quadratic function
parts of a Parabola:
- opening of the parabola
- vertex ( the lowest or the highest point of the parabola )
- axis symmetry
Done po. Thank you po sir!
-Galileo
Quadratic function
A quadratic function is a second degree polynomial represented as f(x) = ax² + bx + c or y = ax² + bx + c, a≠0 where a, b and c are real numbers.
f(x) = y
Standard form - f(x) = ax² + bx + c
Vertex form - f(x) = a (x - h)² + k
Parabola - The graph of a quadratic function. (U-Shaped line)
Parts of a Parabola
1. Openings of Parabola
2. Vertex
- if the parabola is opening upwards, then the vertex is the lowest point of the parabola, but if the parabola is opening downwards, then the vertex is the highest point of the parabola.
3. Axis of symmetry (y-axis)
- divides parabola and creates a mirror effect.
2 different openings of a Parabola
*Open upward
*Open downward
1. f(x) = 6x - 11 is not a quadratic function but a linear function because this function's degree (highest exponent) of the polynomial (6) is 1.
2. f(x) = 2x² + x - 7 is a quadratic function because the highest exponent here is 2.
3.
x 0 1 2 3 4 5
f(x) 1 0 3 10 21 36
1st differences
0 - 1 = -1
3 - 0 = 3
10 - 3 = 7
21 - 10 = 11
36 - 21 = 15
2nd differences
3-(-1) = 4
7 - 3 = 4
11 - 7 = 4
15 - 11 = 4
Since all the 2nd differences are equal, this table of values represents a quadratic function.
4. Example number 4 is not a quadratic function but a linear function because the graph of a linear function is a straight line.
5. Example number 5 is a quadratic function.
Thank you for this wonderful video I've learned something new today -mac maalihan
Wow...keep it up
Done
9 Archimedes
Quadratic function
- Is a second degree polynomial represented as f(x)=ax²+bx+c or y=ax²+bx+c, a is not equal to 0 where a, b and c are real numbers
STANDARD FORM: f(x)=ax²+bx+c / y=ax²+bx+c
VERTEX FORM: f(x)=a(x-h)²+k / y=a(x-h)²+k
PARABOLA:
The graph of a quadratic function is called a parabola.
A parabola has two kinds: upwards and downwards.
Parts of a parabola:
-Opening of the parabola
-Vertex
-Axis of symmetry
done na po (Galileo)
quadratic function
-Is a second degree polynomial represented as f(x)= ax^2+bx+c or y= ax^2+bx+c,a≠0 where a,b and c
Standard form
-F(x)=ax^2+bx+c
Vertex form
-f(x)=a(x-h)+k
Parts of Parabola
-Opening of Parabola
Downward or upward
-Vertex
-Axis of symetery
Done po (9 Archimedes)
Quadratic function
- is a second degree polynomial represented as f(x)=ax²+bx+c or y=ax²+bx+c, a is not equal to 0 where a, b and c are real numbers
Standard form: f(x)=ax²+bx+c / y=ax²+bx+c
Vertex form: f(x)=a(x-h)²+k / y=a(x-h)²+k
The graph of a quadratic function is called a parabola. A parabola has two kinds: upwards and downwards.
Parts of a parabola:
1. Opening of the parabola
2. Vertex
3. Axis of symmetry
Nice... I hope na natutunan tlga ang lesson ma ito.
Nice... I hope na natutunan tlga ang lesson ma ito.
Thank u Po!!!
a second degree polynomial represented as f(x)=ax^2+bx+c or y=ax^2+bx+c,a is not equal 0 where a, b and c are real numbers
standard form:f(x)=ax^2+bx+c/y=ax^2+bx+c
Thank you po sir💗
Welcome po
Done (Galileo) Samonte
A Quadratic Function is a second degree polynomial represented as f(x)=ax^2+bx+c or y=ax^2+bx+c,a not equal 0 where a b and c are real numbers
standard form ;f(x)=ax^2 +b +c
Vertex Form :f(x)=a(x-h)^2+k
Parabola - The graph of a quadratic equation
Vertex -lowest/highest point of the parabola
to remember parabola there is called Axis of Symmetry
Since the Y Axis is in the center it can be also as the Axis of Symmetry
2 different openings of a parabola :upward and downward
Parts of a Parabola: The Opening
- Axis of Symmetry
- Vertex
-There are four parabola but two of parabola is a function.
How can we identify the representation of a Quadratic function: it is in 3 ways namely:
Represented By an Equation
Represented By Table of Values
Represented By Graph or Line
DONE(9-ARCHIMEDES)
QUADRATIC FUNCTION is a second degree polynomial represented as f(x)=ax²+bx+c or y=ax²+bx+c, a is not equal to 0 where a, b and c are real numbers.
Standard form: f(x)=ax²+bx+c / y=ax²+bx+c
Vertex form: f(x)=a(x-h)²+k / y=a(x-h)²+k
PARABOLA is the graph of a quadratic function. There are 4 types of parabola but only 2 are functions, the upward and the downward.
parts of the parabola:
1. the opening of the parabola
2. the vertex-the highest or the lowest point of the parabola.
3. axis of symmetry-the y-axis that divides the parabola in half and creates a mirror effect.
representations of a quadratic function:
1. by equations
2. table of values
3. by graphing
Done po sir salamat po (Galileo) Quadratic Function - Is a second degree polynomial represented as f(x)=ac^2+bx+c or y=ax^2+bx+c , where a,b and c are real numbers. Standard form - f(x)+ax^2+bx+c Vertex form - f(x)=a(x-h)^2+k The graph of a quadratic function is a called parabola 4 parabola but 2 is function
Thank you for lesson sir
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thankyou po sirrr (Archimedes)
Thank you dim
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Hi Sir
Sabi D2 pang grade 9 math toh TAs kami Taga science high schools grade 8 palang ginagawa na namin ngaun💅
Done watching ( Archimedes 9 )
Dalton 9
ehh
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welcome
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Sa CAA Elementary School Ka rin po ba nagtuturo?Tanong ko Lang po
Hi.. hindi po mam
Ah.. I am from a public school in Laguna..
Done po from grade 9ruth
Sir wala koy masabtan
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