- anonymous

Need help with five Algebra 2 questions! Please help me. I'm never able to get help on this website hardly ever.

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- misty1212

HI!!

- misty1212

any particular question?

- misty1212

??

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## More answers

- anonymous

Yes! @misty1212

- misty1212

best to post a specific question

- anonymous

let me pull them up!

- anonymous

Okay my first question is this:
What is the graph of the absolute value equation?
y = /x/ -9

- misty1212

do you know what \(y=|x|\) looks like? that is the basic starting point

- anonymous

Not really. I've been having a lot of trouble with graphing :(

- misty1212

it looks like a V |dw:1441118922280:dw|

- misty1212

to the right of zero it is the line \(y=x\) to the left it is \(y=-x\)

- anonymous

Okay I thought so. Can the V's placement move up and down on the graph?

- misty1212

when you subtract 9 outside, it moves it down 9 units

- anonymous

Thats what I was about to draw.

- misty1212

and output is 9 less than \(y=|x|\)

- misty1212

|dw:1441119016232:dw|

- anonymous

Okay so when you have y = /x/ will it always look like a V?

- misty1212

lol yeah it never changes

- anonymous

And then the number at the end of the equation is where you place it.

- anonymous

Sorry... Math is not my strongest subject.

- misty1212

no problem

- misty1212

if it was say \(y=|x|+2\) it would be up 2 units

- anonymous

Do you have time to help me with a few more?

- misty1212

sure

- anonymous

Thank you so much!

- anonymous

What is the graph of the absolute value equation?
y = /x+4/

- misty1212

ok this one is a bit different because FIRST you add 4 THEN take the absolute value

- misty1212

that shifts the V 4 units to the LEFT`

- misty1212

|dw:1441119337575:dw|

- 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

And its positive right so wouldn't it be to the right?

- anonymous

Oh! Your reply came in late so I didn't see it! I got it!

- 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

Yes, I understand. I didn't see what you said before I replied.

- 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

Okay! I got it :) So the graph would have the v shifted to the left 4

- misty1212

yes

- anonymous

Awesome. You are so much help!

- misty1212

\[\color\magenta\heartsuit\]

- anonymous

:) cute!

- misty1212

quick quiz
how would \[y=|x+2|-3\] be shifted?

- anonymous

okay one second

- anonymous

y = /x+2/ -3 = /0/ -3

- misty1212

your answer should be left or right so many units, up or down so many units

- anonymous

Wait... I don't think I'm doing it right

- anonymous

|dw:1441119892914:dw|

- misty1212

\[\huge y=|x\overbrace{+2}^{\text{left 2}}|\overbrace{-3}^{\text{down 3}}\]

- anonymous

okay let me graph it

- anonymous

|dw:1441120014777:dw|

- misty1212

pretty good

- misty1212

a bit off since it does not go through \((0,0)\)

- anonymous

We just learned these in class today

- anonymous

Yeah it's hard to draw it on here

- misty1212

|dw:1441120134731:dw|

- misty1212

close enough

- anonymous

I have two more if you don't mind.

- anonymous

I want to try them first and then could you check my answers?

- misty1212

\[\huge y=|x\overbrace{-4}^{\text{ right 4}}|\overbrace{+2}^{\text{up 2}}\]

- misty1212

sure

- anonymous

What is the graph of the absolute value equation?
y = /x+3/ -4

- misty1212

ok pretty close to the last one we did

- anonymous

Yes.

- anonymous

|dw:1441120404739:dw|

- misty1212

excellent

- anonymous

|dw:1441120491775:dw|

- anonymous

More like this though

- anonymous

Okay the next one has a fraction in it.

- misty1212

i hate fractions

- anonymous

What is the absolute value of the equation?
y = 1/2 /x/

- anonymous

Me too

- misty1212

it can't really ask "what is the absolute value" right?
maybe graph it ?

- anonymous

lol! I left that out! it is graphing

- misty1212

yeah that looks the the original V except it is wider

- anonymous

You're graphing -1/2 /x/

- misty1212

|dw:1441120715407:dw|

- anonymous

|dw:1441120740635:dw|

- misty1212

oh is it \[y=-\frac{1}{2}|x|\]?

- anonymous

Yes Ma'am.

- anonymous

So wouldn't it be |dw:1441120824712:dw| ?

- misty1212

then your are right (ma'am, lol)

- anonymous

:)

- anonymous

Okay there's a bonus question on my homework that has a graph like this: |dw:1441120904317:dw|

- misty1212

where does it sit ?|dw:1441120941672:dw|

- anonymous

The choices that they give you are:
y = 7/x+8/-4
y =-7/x-8/+4
y =-7/x+8/-4

- anonymous

And y = -7/x-8/-4

- anonymous

That's what it looks like?

- misty1212

no that was wrong \((-8,-4)\)

- anonymous

Yes.

- anonymous

(-8, -4)

- misty1212

so it is going to look like \[y=a|x+8|-8\]

- misty1212

and since it opens down \(a\) is a negative number

- anonymous

I think it's C

- misty1212

so probably C ( it is almost always C)

- anonymous

When in doubt Charlie out! (Thats what my mom says)

- misty1212

your mom is smart

- anonymous

Okay I finished! Let's see what I got!

- misty1212

lol yeah let's C

- anonymous

I made a 100!

- misty1212

yay!!

- anonymous

Thank you sooooooo much!

- misty1212

\[\huge \color\magenta\heartsuit\]

- anonymous

<3

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