❖ Maximum and Minimum Values of Quadratic Functions ❖

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Maximum and Minimum Values of Quadratic Functions
In this video, I demonstrate how to find the maximum or minimum value of a quadratic function using the vertex formula: (-b/(2a), f(-b/(2a)).

This technique allows you to determine whether a parabola reaches a peak or a valley and find that specific value. Understanding this method is essential when working with quadratic functions in algebra or calculus, as it helps reveal key points of the function’s graph.

What You Will Learn:

How to find the vertex of a quadratic function in the form y = ax^2+ bx +c.

How the sign of a determines whether the function has a maximum (when a less than
0) or a minimum (when a greater than 0).

Solving examples step-by-step to find the maximum or minimum value of a quadratic function.

📚 For more practice, check out my book: 1001 Calculus Problems for Dummies

Support My Work:

#QuadraticFunctions #MaximaMinima #VertexFormula #MathTutorial #PatrickJMT #Algebra #Mathematics #Parabola #Calculus #MathHelp #Functions
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Thank you, Jesus for this guy!! I just made an 80 on a test..before I was at a 40....Awesome...

Failureisnotanoptionever
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my man you are such a legend all the other videos were for standard form equations thank you!!!

rebelgoldfish
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I just want to say, thank you from the bottom of my heart. This was extremely helpful. I have a test after two hours. Thanks a lot!!

aks
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Finals week. And im fairly certain i am now resposible for several thousand more views for your videos now. Honestly speaking; God bless you sir.

archoneyes
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my teacher never told us the formula for it and so i am sooo happy you showed me, because it all makes sense to me now :)

sailia
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Damn thanks you're a genius😭wish my teacher was half as good as you!

gloss
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My teacher is a "get it or die" kinda teacher. I am taking algebra 2 as a freshman, and Frankly, I don't get it. and it makes me feel stupid around everyone else. This helped me a lot, and I thank you so much!

dragonzone
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holy shiiiit u saved my damn life! rly cant understand my teacher when he was explaining this in class and 1 day b4 the test i looked this up and u saved my life man full of gratitude gonna watch more of ur vids from now on!

dxSOCxb
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missed class when we were learning about this, had no idea what to begin with and I have a test tomorrow!! I understand now! Thanks!

eherre
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I wish my math teacher could make it this simple :P. I'm studying on YouTube from now on :D

baxter
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Thanks mate u helped me with my homework

mah
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ALL HAIL PATRICK!!! KING OF MATH, , ,

TheTymuller
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THIS GUY IS A GENIUS, my teacher spent weeks to explain this and im still confused, but instantly after watching this vid, *snap* i got it !!

TheMrSquare
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really nice explanation so easy to understand

agifrombackthen
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my math teacher never taught me how to find the max and min of a quadratic equation without using a calculator. This helped a lot!

dharasheth
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This really helped Alot you taught better than my algebra teacher thanks!

sajoyamurean
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This video was made the day before I turned 5 months old, yet it still holds true to this day (13 years later). Such is the beauty of math.

aerodynamix_cfd
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excellent, clear, quick, and very helpful.

kevingp
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thank you so much! i missed a lot of school & i needed a refresher!

ansleejames
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Thanks! You teach better then my teacher.

thomasross