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14 - Graphing Quadratic Functions - Max & Min Values - Part 1 

Math and Science
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In this lesson, we will learn how to find the maximum and minimum values of any given parabola. This is used to find the vertex of the parabola and sketch the graph of the parabola.
The max value only occurs if the parabola opens down. The min value only occurs if the parabola opens up. We discuss how to find if the parabola has a max or min value and how to calculate the value.

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21 авг 2024

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Комментарии : 37   
@Alibern7
@Alibern7 4 года назад
3:52 helped me I was trying to figure out if it’s still a max or min when the quadratic function was facing up or down
@Ilona632
@Ilona632 3 года назад
Was just going over stuff I learned in school long time ago. And saw this video. 👍Very well explained.
@PatrickCraig-lh5is
@PatrickCraig-lh5is 3 месяца назад
Could you also state that (x + b/2a)^2 is the same as (x - (-b/2a))^2 and read the shift _h_ directly as -b/2a? Since the vertex form is always y - k = (x - h)^2, you would need to think of an addition on the right in terms of a subtraction: subtracting a negative is the same as adding a positive, and this would make the leftward shift obvious (no memorization of "do the opposite of the sign" needed). In the case of a subtraction being given in the first place, it could be seen as subtracting a positive (meaning rightward shift). (x - (+b/2a))^2 I know that students are often taught to think of subtraction in terms of addition in pre-algebra, so asking them to go the other way could potentially be confusing. Just curious as to what others think of this.
@EdwinChibesa
@EdwinChibesa 4 месяца назад
This is great work
@bhavyanayak4342
@bhavyanayak4342 3 года назад
Wonderful explanation sir, this helped a lot. Thank you!
@evanceogada2054
@evanceogada2054 8 месяцев назад
great work indeed
@rob7633
@rob7633 5 лет назад
Thanks your a great teacher learned alot.
@chadetrikrout
@chadetrikrout 3 года назад
Excellent explanation Sir...
@bidarvandi
@bidarvandi 2 года назад
2 unit shifted over is x and y one unit is up are vertex could not get it
@netuno60
@netuno60 3 года назад
Great explanation sir!
@racquelsabesaje4562
@racquelsabesaje4562 Год назад
y=2(4)-16
@racquelsabesaje4562
@racquelsabesaje4562 Год назад
f(x)=2x2+8x
@princelolowu7726
@princelolowu7726 Год назад
Watching this in 2022 and this was so helpful
@racquelsabesaje4562
@racquelsabesaje4562 Год назад
vertex -2 -8
@aaminadurrani5131
@aaminadurrani5131 3 года назад
well explained...
@racquelsabesaje4562
@racquelsabesaje4562 Год назад
y=f(-2)=2(-2)2+8(-2)
@racquelsabesaje4562
@racquelsabesaje4562 Год назад
x=-b/2a=- 8/2(2)= - 8/4= -2
@amberbazanx3
@amberbazanx3 3 года назад
Thank you!!!
@racquelsabesaje4562
@racquelsabesaje4562 Год назад
y=8-16
@fanuelmuntanga355
@fanuelmuntanga355 Год назад
Great 🎉thanks
@racquelsabesaje4562
@racquelsabesaje4562 Год назад
y(f-2)=2x2+8x
@racquelsabesaje4562
@racquelsabesaje4562 Год назад
a=2 b=8
@racquelsabesaje4562
@racquelsabesaje4562 Год назад
y=f(-b/2a)
@racquelsabesaje4562
@racquelsabesaje4562 Год назад
y= - 8
@racquelsabesaje4562
@racquelsabesaje4562 Год назад
x=(-b/2a)
@abnerpratt2619
@abnerpratt2619 3 года назад
How did you find the (f)?
@racquelsabesaje4562
@racquelsabesaje4562 Год назад
x= -2
@hemarajue2736
@hemarajue2736 4 года назад
It also works while factoring 'a' i.e ax^2+a/abx=a(x^2+b/ax).
@padoroberts8638
@padoroberts8638 3 года назад
thats scary
@hemarajue2736
@hemarajue2736 3 года назад
@@padoroberts8638 nothing to scare,it is just a basic rule. Here we need to factor out 'a' but there is no factor 'a' in the second term. So I multiplied a/a with the second term.
@racquelsabesaje4562
@racquelsabesaje4562 Год назад
formula
@jeremycornish-ford2435
@jeremycornish-ford2435 2 года назад
Do you still love peanut butter and jelly?
@patricklux9870
@patricklux9870 5 лет назад
math is the most stupid thing ever like learning system of someone who just imagined some numbers and things
@MathAndScience
@MathAndScience 5 лет назад
Actually nothing could be further from that truth. Math is directly responsible for physics, chemistry and all branches of engineering. So without math, you wouldn’t have any electronic devices, no phones, no internet, no medicine, no surgery, no power generation. So without math, you should build a hut and start hunting for food in the dark. Good luck!
@dharshinia9378
@dharshinia9378 3 года назад
@@MathAndScience without maths, he can't even build a hut🤣lol
@sarthak8350
@sarthak8350 3 года назад
Math is stupid says a guy who uses smartphone
@WilliamCooper2005
@WilliamCooper2005 2 года назад
unanimous condemnation of your bad opinion.
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