Question

What is the vertex of y = 2|x| – 1 ?

Answer 1

there are lots of confusing stuff about this question, first off the vertex is a ordered pair (x,y) not a graph. so I don't see what the options are for
second off
2|x|-1 looks like this
so I really don't see what the graphs have to do with this, as none of them are the graph of the function you posted

Answer 2

thats the question and the options.
its asking for the vertex

Answer 3

u sure it was not -(|x|+1)?

Answer 4

or something like that...

Answer 5

ohhh my bad

Answer 6

the question is Select the graph of y = – |x + 3| + 2

Answer 7

ahh
do you know what the graph of y = |x| looks like?

Answer 8

is it a V?

Answer 9

yes, at the origin

Answer 10

|x+3| will move it 3 units to the left
|x+3|+1 will then move it to the left 3 units and up 1 unit
-|x+3|+1 will then move it to the left 3 units and up 1 unit and then flip it upside down

Answer 11

hmmm so, look at the absolute value expression only |x|
what values for "x" would make that 0?

Answer 12

so if y=|x| is a V at the origin, then was does it look like after the transformation?

Answer 13

its gonna be an upside down V

Answer 14

@zzr0ck3r ???

Answer 15

what values for |x| will make that = 0?

Answer 16

they are all upside down v's

Answer 17

yea but which graph is correct?
@zzr0ck3r

Answer 18

@jdoe0001 which graph is correct then?

Answer 19

well, you'd want to find the vertex first to know where the "V" ends up

Answer 20

zzr0ck3r 's picture looks ok, just need some translation

Answer 21

zzr0ock3r's graph is from the wrong equation

Answer 22

understood, but you just want the vertex, no the graph I understood

Answer 23

no i want to know which is the right graph of y = – |x + 3| + 2

Answer 24

y = A( Bx + C ) + D

A = shrinks or expands the graph, A > 0, opens upwards, A < 0, opens downwards
C = horizontal shift, C > 0, to the left, C < 0, to the right
D = vertical shift, D > 0, up, D < 0, down

Answer 25

so opens downwards, and it has horizontal and vertical translations

Answer 26

but just finding the vertex though, those shifts are pretty much visible
and you can find that by just setting the absolute expression to 0, and solve for "x"

Answer 27

so is the answer B?

Answer 28

hmm the original equation shows => y = 2|x| – 1

and I assume the pictures relate to that, no y = – |x + 3| + 2

Answer 29

is it C?

Answer 30

i thinks it either C or D

Answer 31

@jdoe0001 ?

Answer 32

I dunno which one the graphs pertain to

Answer 33

why not just find the vertex of it?
that way you can graph it :)

Answer 34

set the absolute expression to 0

Answer 35

like this y = – |x + 3| + 2= 0????

Answer 36

well, the simpler way will be
what value of "x" makes | x + 3 | equals to 0?

Answer 37

|-3+3|=0

Answer 38

\(\bf y = – |x + 3| + 2\\
|(\color{red}{-3})+3| \color{red}{+2}\\
(\color{red}{-3}, \color{red}{2}) \Leftarrow vertex\)

Answer 39

thanks a lot

Answer 40

yw