Question

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

Answer 1

HI!!

Answer 2

any particular question?

Answer 3

??

Answer 4

Yes! @misty1212

Answer 5

best to post a specific question

Answer 6

let me pull them up!

Answer 7

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

Answer 8

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

Answer 9

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

Answer 10

it looks like a V

Answer 11

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

Answer 12

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

Answer 13

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

Answer 14

Thats what I was about to draw.

Answer 15

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

Answer 16

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

Answer 17

lol yeah it never changes

Answer 18

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

Answer 19

Sorry... Math is not my strongest subject.

Answer 20

no problem

Answer 21

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

Answer 22

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

Answer 23

sure

Answer 24

Thank you so much!

Answer 25

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

Answer 26

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

Answer 27

that shifts the V 4 units to the LEFT`

Answer 28

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 \(y=|-4+4|=|0|=0\)

Answer 29

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

Answer 30

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

Answer 31

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

Answer 32

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

Answer 33

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

Answer 34

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

Answer 35

yes

Answer 36

Awesome. You are so much help!

Answer 37

\[\color\magenta\heartsuit\]

Answer 38

:) cute!

Answer 39

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

Answer 40

okay one second

Answer 41

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

Answer 42

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

Answer 43

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

Answer 44

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

Answer 45

okay let me graph it

Answer 46

pretty good

Answer 47

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

Answer 48

We just learned these in class today

Answer 49

Yeah it's hard to draw it on here

Answer 50

close enough

Answer 51

I have two more if you don't mind.

Answer 52

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

Answer 53

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

Answer 54

sure

Answer 55

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