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Can someone help me please!!?

I'm still stuck unfortunately.

K, let's see if we can get somewhere...

math has always been my worst subject. thank you.

Well, maybe we'll be able to turn that around. :) I'm taking a look...

okay, now what do i do?

\[f(x)=-x(x+6)+3\] and \[g(x)=x(x-8)+2\]

You probably haven't seen that, but does that make sense so far?

not really :(

perfect. thanks.

nope.

OK, that's fine. Let's go simpler. :)

the x's is where i get lost.

I'm pretty good at basic math

OK, so does this make more sense \[3^2 + 3 = 3(3+1)\]

yes

OK, so let's see if we can build on that understanding.... Let me think for a moment...

Do you know that these two equations have graphs that are parabolas?

yes.

In the first one, the x^2 term has a negative coefficient so it will look like this:

|dw:1437101892911:dw|

okay.

In the second one, the x^2 term is positive so it will look like this:

|dw:1437101949338:dw|

Does the first one have a high point or a low point?

high

That high point is called a maximum point. It is also the vertex of the parabola.

that makes sense.

So, we know the first one has a maximum, but does it have a minimum too?

great! so what is the maximum? and i still need the range and the domain :(

oh gosh. okay.

Basically, I just transform the x's into whatever number I like. Does that make sense?

I'm trying here. let me look again.

yes.

In math, it's the same idea, "x" marks the spot where some number should be.

yes yes..

im understanding so far.

okay.

Alright, so the formula we have has this symbol in it x^2. Do you know what this symbol means?

yes the x has a exponent.

got it.

ok, can we pick something easy like 2?

Sure, let's do that to start.

So we have: - 2^2 -6*2 + 3 and we need to figure out what this means.

yes.

So first, what is 2^2?

Good, so we have -4 - 6*2 + 3 next is multiplication

ok so 6*2 right?

that is right!

so 12.

Good! -4 -12 + 3 this is easy now

"easier" that is... :) the negatives might be a little strange. :)

ok will i miltiply -4 & -12 or what do i do since theres no symbol?

multiply lol

I'm decent when it comes to negatives.

There's technically subtraction there.

how?

Remember it was -x^2 minus 6x plus 3 in the original formula
-x^2 - 6x + 3

ok got it

So, we then get -4 - 12 + 3 = -16 + 3 = -13 I believe.

This gets faster, don't worry. It takes a lot of words to describe the process. :)

mhm...

this is gonna take til 5am.

not even your fault, its mine..

This is graphed on the xy-axis like this|dw:1437103634210:dw|

yes

great.

If we had x^2 + 10x + 3 we would pick x = 0 and x = 10.
OK with that trick?

yes

OK with that?

ok

now I'm lost

i fell asleep there for a minute too so that isn't helping

K, don't worry. I'm pulling out all the tricks I have here, Let me explain it one step at a time.

ok

yes

And what number is in front of the "x"? We already said that this was -6.

yup

yes

i kind of understand, lets just go with it.

I'm sorry. its been such a struggle with me. i know it.

i really appreciate it.. but now what?

lol how do i do the infinity symbol?

yes. he will fix it. he's nice.

what exactly is the domain?

*fine not find. :)

great!!

the only problem is theres still one more equation lol

yay!

yup

but doesn't the graph have no maximum?

thank god i don't need anymore math to graduate. lol

uh huh uh huh

lol

-14 is the minimum correct?

I'm going to graph this on my graphing calculator just to confirm. :)

great!! i really appreciate all of your help!!

You are very welcome! I'm glad the dragon is dead now. lol :)
Here's the second graph, and we are right.

yay!!

and the first one, is......
right again! Yay!

great your amazing!! i appreciate it so much!! especially the patience you had!!

Go get some rest, your brain is probably deep fried. :)

Thanks again! :D

Take care! :D