Quadratics Top 10 Must Knows (ultimate study guide)

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Күн бұрын

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@paingwen1235 Ай бұрын

I don't profess my love easily. I hardly say it to my parents but when I tell you I dropped to my knees today, after years of crying and hard work, I have a test tomorrow, and I understand. I understand it now. Thank you, I love you.

@maheshchavan2967 8 ай бұрын

This is the most clear video I've ever seen on quadratic

@mimoali-mr2yd 9 ай бұрын

[00:00] The top 10 things to know about quadratics - Quadratic relationships can be recognized from equations, tables, and graphs - Quadratic relationships have a degree 2 polynomial equation and form a parabola shape - All parabolas have a vertex and are symmetrical about a vertical axis - The standard form equation of a quadratic is y=ax^2+bx+c - From the standard form equation, we can determine properties of the quadratic relationship [02:33] Understanding the basics of quadratic equations in standard and vertex form - Standard form equation: a determines direction of opening, C reveals Y-intercept - Table of values can be used to graph standard form equations - Vertex form equation: H and K values determine vertex coordinates, a determines direction of opening - Converting standard form to vertex form can help find vertex of Parabola [05:08] The video explains the three forms of quadratic equations and their significance in solving and graphing quadratic functions. - The standard form is ax^2 + bx + c and can be used to find the vertex, axis of symmetry, and intercepts - The vertex form is a(x-h)^2 + k and can be used to find the vertex and axis of symmetry - The factored form is a(x-m)(x-n) and can be used to find the x-intercepts [07:40] Factored form basics of quadratics: finding X-intercepts, axis of symmetry, and vertex - X-intercepts can be found by setting Y to zero and using the zero product rule - Axis of symmetry is the average of X-intercepts - Vertex falls on the axis of symmetry and can be found by substituting the X-coordinate into the factored form equation - Quadratics with leading coefficient of one can be factored using product and sum method [10:14] Learn how to factor and solve quadratic equations using factoring, including the difference of squares rule. [12:47] The video explains how to solve quadratic equations by factoring and completing the square - To factor a quadratic, find numbers that multiply to C and add to B, then use the zero product rule to find the roots - If factoring is not possible, convert the quadratic to vertex form by completing the square, then rearrange to isolate X [15:21] Learn how to solve quadratic equations using completing the square and the quadratic formula. - Completing the square involves rearranging the equation to isolate X - Quadratic formula is x = (-b ± sqrt(b^2 - 4ac)) / 2a - Quadratic formula can be used to find solutions without completing the square - Example: x^2 - 6x + 8 = 0 can be solved using quadratic formula to get x = 3 ± sqrt(17) [17:55] Quadratic formula and discriminant determine the number and type of solutions to a quadratic equation - Discriminant is the part under the square root in quadratic formula - If discriminant is greater than zero, there are two real solutions - If discriminant is equal to zero, there is only one real solution - If discriminant is less than zero, there are no real solutions - If discriminant is a perfect square, the quadratic is factorable [20:28] The video explains three ways to find the vertex of a parabola in standard form - Completing the square method involves factoring and adding/subtracting a constant - Finding X-intercepts and averaging them gives the X-coordinate of the vertex - Using the formula B/2A gives the X-coordinate, which can be used to find the Y-coordinate

@MimiMills-o5d 3 ай бұрын

God Bless youuu🎉,Thank you for this summary

@CliffSedge-nu5fv 2 ай бұрын

@@MimiMills-o5dNo human effort went into that summary; you are thanking a computer program.

@alviafridi 6 күн бұрын

Thank you bro. I'm saving the note. It's a very good revision material for me.

@sandhyaprabhu6996 5 ай бұрын

Oh my God. Love you, I wish you were my Maths teacher at college. Every student deserves a teacher like you🙏🙏

@noriboncabe 16 күн бұрын

Wow, just wow. I rarely comment on KZbin but you're just that amazing! Keep doing what you're doing, you're helping out kids internationally and I really appreciate it!

@CdnMark 25 күн бұрын

Last time I did this was approximately 1993... This is a big help.

@abrahamhadish2610 3 ай бұрын

You are top one, who is enhancing my maths fulfillment.

@OmarFaruque-i6q 2 ай бұрын

Damn! This dude teaches something in 30 mins that'd take professors hours!

@PotatoSinghThe3rd 9 ай бұрын

I love these videos! Keep up the good work.

@nastyazakharko2998 16 күн бұрын

This video is a must-have!

@torianobess9012 4 ай бұрын

you could also use the identity (x+h) square - h squared = x squared + 2hx to complete the square.

@khadeejahali9105 8 ай бұрын

comprehensive and concise. thank you.

@judekirkcruz7177 9 ай бұрын

Holy shit I learned a lot more in this video than in my high school years!!

@Limitless-learner 8 ай бұрын

Sir pls continue this series 🙏🏻 pls sir

@TobyDeng-qc7px 3 ай бұрын

Hero. Saved my exam.

@rainyee-pc5lf 2 ай бұрын

6:55 the x coordinate of the vertex is supposed to written as -5, right?

@nouzha0181 21 күн бұрын

This is an excellent video. Thank you!

@craft2544 13 күн бұрын

I am in 4th grade and I can understand it all

@senthilnathanmeenakshisundaram 5 ай бұрын

Precise and informative 👌

@abrahamhadish2610 17 күн бұрын

I subscribed happily.

@mosshead_vinsmoke 5 ай бұрын

Please do this to all general topics in Maths - trigo, geometry, PnC , Calc-1/2 , Lin Alg , Disc Math....

@olgakachayeva9328 9 ай бұрын

THE BEST!!!

@vascobishop3359 3 ай бұрын

Spot on. 10 out of 10. Brilliant.

@sameer-samm9 4 ай бұрын

Method 1) (- x= 3) equation is given Multiplying both sides by (-1) -1*-x=-1*3 Then x=-3 or Method 2) Let the equation be (- x= 3) If we multiply both sides with "MINUS" sign -(- x)= -(3) Then x= -3. Which one is correct or both methods are correct . Please help 🙏🙏

@vgbhnjmgnfsdayg 4 ай бұрын

-1 can be written as "-",these both are correct

@kolmst 3 ай бұрын

1:21 ??? Please explain why this is happening? How can the difference of their differences all be the same? ????

@ApexDGop01 Ай бұрын

PDF of this video plsss it’s a humble request it will mean slot as it will help me in revision

@NathalieAlbrecht-f2d 8 ай бұрын

Man I love this series

@yungkomodoraps Ай бұрын

so helpful! the goat!

@smitasahay6890 5 ай бұрын

Too good sir.. thanks a lot😊

@nourzardasht1914 9 ай бұрын

Which row is this?

@Yes-mn7fi 2 ай бұрын

THE GOAT ❤❤❤

@Big_Ray00 5 ай бұрын

Now How do we apply quadratic in solving real life problems?

@monoman4083 6 ай бұрын

nice and clear thanks...

@WhyPLL 9 ай бұрын

I’m in grade 7 and I can barely understand 😢

@Sbbooster 9 ай бұрын

You’ll get it nice cubing btw

@Glitchrat_YT 9 ай бұрын

How

@Sam-r1t4d 9 ай бұрын

How old r u in 7th grade?

@tzbq 9 ай бұрын

idk about these random people in youtube going about how they can understand every equation ever at like 9 year old, but i was only taught quadratic equations with factoring and completing the square in 8th grade and quadratic formula in 9th grade

@abhipatel4595 9 ай бұрын

I learnt quadratics in year 8 so its fine if you dont understand in year 7

@AerialAnomaly 8 ай бұрын

I have a unit test in about 2 hours, so I gotta lock in

@delegatedgamer3562 9 ай бұрын

Hi could you make video on book name cengage maths

@derrickyim6659 6 ай бұрын

thank you!

@hammadumar4082 9 ай бұрын

Very good

@arosalesmusic 4 ай бұрын

The min or max can be found by taking F´(x) = 0

@OmaryyyHaha Ай бұрын

I fucking love you bro

@davidbrown7142 6 ай бұрын

For your visually impaired viewers, please avoid that dark pink as it is hard for visually impaired people like myself to read against the dark background of the blackboard.

@kolmst 3 ай бұрын

True