anonymous
  • anonymous
Need help with five Algebra 2 questions! Please help me. I'm never able to get help on this website hardly ever.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
misty1212
  • misty1212
HI!!
misty1212
  • misty1212
any particular question?
misty1212
  • misty1212
??

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anonymous
  • anonymous
Yes! @misty1212
misty1212
  • misty1212
best to post a specific question
anonymous
  • anonymous
let me pull them up!
anonymous
  • anonymous
Okay my first question is this: What is the graph of the absolute value equation? y = /x/ -9
misty1212
  • misty1212
do you know what \(y=|x|\) looks like? that is the basic starting point
anonymous
  • anonymous
Not really. I've been having a lot of trouble with graphing :(
misty1212
  • misty1212
it looks like a V |dw:1441118922280:dw|
misty1212
  • misty1212
to the right of zero it is the line \(y=x\) to the left it is \(y=-x\)
anonymous
  • anonymous
Okay I thought so. Can the V's placement move up and down on the graph?
misty1212
  • misty1212
when you subtract 9 outside, it moves it down 9 units
anonymous
  • anonymous
Thats what I was about to draw.
misty1212
  • misty1212
and output is 9 less than \(y=|x|\)
misty1212
  • misty1212
|dw:1441119016232:dw|
anonymous
  • anonymous
Okay so when you have y = /x/ will it always look like a V?
misty1212
  • misty1212
lol yeah it never changes
anonymous
  • anonymous
And then the number at the end of the equation is where you place it.
anonymous
  • anonymous
Sorry... Math is not my strongest subject.
misty1212
  • misty1212
no problem
misty1212
  • misty1212
if it was say \(y=|x|+2\) it would be up 2 units
anonymous
  • anonymous
Do you have time to help me with a few more?
misty1212
  • misty1212
sure
anonymous
  • anonymous
Thank you so much!
anonymous
  • anonymous
What is the graph of the absolute value equation? y = /x+4/
misty1212
  • misty1212
ok this one is a bit different because FIRST you add 4 THEN take the absolute value
misty1212
  • misty1212
that shifts the V 4 units to the LEFT`
misty1212
  • misty1212
|dw:1441119337575:dw|
misty1212
  • misty1212
don't be confused by going to the left think of it this way the smallest the absolute value can be is zero, so if \(x=-4\) then \(y=|-4+4|=|0|=0\)
anonymous
  • anonymous
And its positive right so wouldn't it be to the right?
anonymous
  • anonymous
Oh! Your reply came in late so I didn't see it! I got it!
misty1212
  • misty1212
no for the reason i wrote above don't forget the order in which you do things here first add 4, then take the absolute value if \(x=4\) then \(y=|4+4|=8\) not 0
anonymous
  • anonymous
Yes, I understand. I didn't see what you said before I replied.
misty1212
  • misty1212
it is more general than just for the absolute value compared to \(y=f(x)\) the graph of \((y=f(x+4)\) would be shifted to the LEFT 4
anonymous
  • anonymous
Okay! I got it :) So the graph would have the v shifted to the left 4
misty1212
  • misty1212
yes
anonymous
  • anonymous
Awesome. You are so much help!
misty1212
  • misty1212
\[\color\magenta\heartsuit\]
anonymous
  • anonymous
:) cute!
misty1212
  • misty1212
quick quiz how would \[y=|x+2|-3\] be shifted?
anonymous
  • anonymous
okay one second
anonymous
  • anonymous
y = /x+2/ -3 = /0/ -3
misty1212
  • misty1212
your answer should be left or right so many units, up or down so many units
anonymous
  • anonymous
Wait... I don't think I'm doing it right
anonymous
  • anonymous
|dw:1441119892914:dw|
misty1212
  • misty1212
\[\huge y=|x\overbrace{+2}^{\text{left 2}}|\overbrace{-3}^{\text{down 3}}\]
anonymous
  • anonymous
okay let me graph it
anonymous
  • anonymous
|dw:1441120014777:dw|
misty1212
  • misty1212
pretty good
misty1212
  • misty1212
a bit off since it does not go through \((0,0)\)
anonymous
  • anonymous
We just learned these in class today
anonymous
  • anonymous
Yeah it's hard to draw it on here
misty1212
  • misty1212
|dw:1441120134731:dw|
misty1212
  • misty1212
close enough
anonymous
  • anonymous
I have two more if you don't mind.
anonymous
  • anonymous
I want to try them first and then could you check my answers?
misty1212
  • misty1212
\[\huge y=|x\overbrace{-4}^{\text{ right 4}}|\overbrace{+2}^{\text{up 2}}\]
misty1212
  • misty1212
sure
anonymous
  • anonymous
What is the graph of the absolute value equation? y = /x+3/ -4
misty1212
  • misty1212
ok pretty close to the last one we did
anonymous
  • anonymous
Yes.
anonymous
  • anonymous
|dw:1441120404739:dw|
misty1212
  • misty1212
excellent
anonymous
  • anonymous
|dw:1441120491775:dw|
anonymous
  • anonymous
More like this though
anonymous
  • anonymous
Okay the next one has a fraction in it.
misty1212
  • misty1212
i hate fractions
anonymous
  • anonymous
What is the absolute value of the equation? y = 1/2 /x/
anonymous
  • anonymous
Me too
misty1212
  • misty1212
it can't really ask "what is the absolute value" right? maybe graph it ?
anonymous
  • anonymous
lol! I left that out! it is graphing
misty1212
  • misty1212
yeah that looks the the original V except it is wider
anonymous
  • anonymous
You're graphing -1/2 /x/
misty1212
  • misty1212
|dw:1441120715407:dw|
anonymous
  • anonymous
|dw:1441120740635:dw|
misty1212
  • misty1212
oh is it \[y=-\frac{1}{2}|x|\]?
anonymous
  • anonymous
Yes Ma'am.
anonymous
  • anonymous
So wouldn't it be |dw:1441120824712:dw| ?
misty1212
  • misty1212
then your are right (ma'am, lol)
anonymous
  • anonymous
:)
anonymous
  • anonymous
Okay there's a bonus question on my homework that has a graph like this: |dw:1441120904317:dw|
misty1212
  • misty1212
where does it sit ?|dw:1441120941672:dw|
anonymous
  • anonymous
The choices that they give you are: y = 7/x+8/-4 y =-7/x-8/+4 y =-7/x+8/-4
anonymous
  • anonymous
And y = -7/x-8/-4
anonymous
  • anonymous
That's what it looks like?
misty1212
  • misty1212
no that was wrong \((-8,-4)\)
anonymous
  • anonymous
Yes.
anonymous
  • anonymous
(-8, -4)
misty1212
  • misty1212
so it is going to look like \[y=a|x+8|-8\]
misty1212
  • misty1212
and since it opens down \(a\) is a negative number
anonymous
  • anonymous
I think it's C
misty1212
  • misty1212
so probably C ( it is almost always C)
anonymous
  • anonymous
When in doubt Charlie out! (Thats what my mom says)
misty1212
  • misty1212
your mom is smart
anonymous
  • anonymous
Okay I finished! Let's see what I got!
misty1212
  • misty1212
lol yeah let's C
anonymous
  • anonymous
I made a 100!
misty1212
  • misty1212
yay!!
anonymous
  • anonymous
Thank you sooooooo much!
misty1212
  • misty1212
\[\huge \color\magenta\heartsuit\]
anonymous
  • anonymous
<3

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