Question

How would I find the inequality for this graph?
Im stuck :/

Graph in comments::

Answer 1

it's probably an absolute bracket responsible for this

Answer 2

when the value gets negative, the function rises again

Answer 3

usually the lowest point would be in the origin
they've offset the function by both x and y

Answer 4

Oh? I'm horrible at math so what does it being offset mean?

Answer 5

that the y-intercept is not 0
and the x- intercept is not 0 :)

Answer 6

ah ok.

Answer 7

the drawing is for:
y> |x|

Answer 8

that's the type of equation they've derived it from

Answer 9

Ok, now I see what they were wanting to get at, but how would I form the points into an inequality?

Answer 10

by "moving" the line of the inequality
y >= |x|

Answer 11

they have moved it up one "y" and
to the right "5x"

Answer 12

so I would replace the x and y with the numbers?

Answer 13

to move a function up, you place +b

y=mx+b

to get it 3 higher than the usual through origin, you do
y=mx+3

Answer 14

y >= |x|

y >= |x| +1

Answer 15

so if x=0, then y has to be greater than 1 :)

Answer 16

that's for the y-intercept

Answer 17

also to change the x-intercept they do something like

move function 2 to the right:
y = mx(-2) + b

Answer 18

so it'd be 6>=5? or something like that?

Answer 19

you need an equation because it's not in the origin

Answer 20

with variables

Answer 21

hmmm... which equation would I use for the numbers? Im sorry if I am coming off dumb, I just can't grasp math.

Answer 22

I believe this equation would work:

y >= |x-5| +1

Answer 23

So I wouldn't add the 6 into the equation?

Answer 24

the function would usually never cross y=6, that's only because we have the absolute brackets and the function is "mirrored"

Answer 25

Oh ok.. I see what yur saying. Thank you for helping me with this :)