anonymous
  • anonymous
Find the minimum value for the function: y = x^2 + 9x + 18
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
do u knwo how to complete the square? or do u factor it?
anonymous
  • anonymous
lets factor its easy
anonymous
  • anonymous
its under my quadratic function lesson so idk

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More answers

anonymous
  • anonymous
what 2 numbers when you multiply them =18 and when u add them =9?
anonymous
  • anonymous
is there a number for that?
anonymous
  • anonymous
6*3=18 6+3=9
anonymous
  • anonymous
ohhh
anonymous
  • anonymous
so is the answer 9 ?
anonymous
  • anonymous
yaaaa factoring i just taught this to my class today. hmmmm nooooo we r factoring. We r trying to figure out 2 numbers that when u mulyiply them give us 18 and when u add them gives us 9
anonymous
  • anonymous
finding the zeros is a long and complicated way to find the minimum
anonymous
  • anonymous
umm well we can complete the square
anonymous
  • anonymous
but i dont think she knows that
Zarkon
  • Zarkon
use the vertex formula
anonymous
  • anonymous
minimum is at the vertex, and first coordinate of the vertex of \[y=ax^2+bx+c\] is always \(-\frac{b}{2a}\)
anonymous
  • anonymous
when doing the vertx thing... is the second number the minimum?
anonymous
  • anonymous
in your case it is \(-\frac{9}{2}\) replace \(x\) by \(-\frac{9}{2}\) to find the minimum
anonymous
  • anonymous
minimum means minimum value of \(y\) so it is the second coordinate, not the first
anonymous
  • anonymous
so yes, what you said, the second number is the minimum.
anonymous
  • anonymous
ohhh i like this method. We never learnt this stuff. Like the textbook always made us complete the square. oh cooll
anonymous
  • anonymous
can i just plug it into my graphing calculator to get the anwser ?
anonymous
  • anonymous
completing the square is for suckers, unless of course you are solving a quadratic equation
lgbasallote
  • lgbasallote
last i heard minimum value was in a calculus class o.O i never knew it was in algebra too
Lukecrayonz
  • Lukecrayonz
It's in Algebra 2.
Lukecrayonz
  • Lukecrayonz
You can use a calculator to solve it
anonymous
  • anonymous
hahah its in math 11 here in canada
anonymous
  • anonymous
\[(-\frac{9}{2})^2+9\times (\frac{-9}{2})+18\] then a calculator if you need one
anonymous
  • anonymous
you turn math up to eleven in canada? mine only goes up to ten
Lukecrayonz
  • Lukecrayonz
Ti-84, input the equation into Y= then click 2nd Trace, and do minimum. It will say "Left bound?", go to the left side of the graph and press enter. Right bound? Obviously, right side. It will say "Guess?", which means put it to where you think the minimum y value is.
Lukecrayonz
  • Lukecrayonz
So for this, you get x=-4.5 and y=-2.25
anonymous
  • anonymous
sooo many numbers ... ahhhhh!!! >_< what about TI-83 plus?
anonymous
  • anonymous
hahaha grade 11 math lol
lgbasallote
  • lgbasallote
so taking the derivative and equating to zero is another story?
Lukecrayonz
  • Lukecrayonz
It'll be exactly the same basically I think.
Lukecrayonz
  • Lukecrayonz
Yes lgb haha
anonymous
  • anonymous
they give us this freshman yr. imma senior now tryna make it up.. sucks :/
anonymous
  • anonymous
thanks everyone
anonymous
  • anonymous
using the derivative to find the minimum value of a quadratic. like using a glock to kill a wingspanroach

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