Question

Which graph represents y = |x| -2

Answer 1

what graph

Answer 2

Oh sorry hold on I'll post them.

Answer 3

https://www.connexus.com/content/media/456845-312011-12909-PM-519537194.png

Answer 4

https://www.connexus.com/content/media/456845-312011-12910-PM-1245329231.png

Answer 5

https://www.connexus.com/content/media/456845-312011-12912-PM-497884132.png

Answer 6

https://www.connexus.com/content/media/456845-312011-12914-PM-1556529010.png

Answer 7

@algebra1squared

Answer 8

i'm sorry to say that we can't view the images, as we don't have accounts on that website, or at least most of us probably don't, so instead, give me a minute to make a graph and you can compare it with the ones you have

Answer 9

Alright thanks. I appreciate it.

Answer 10

and here you are

Answer 11

Thanks so much! Could you help with another one?

Answer 12

sure thing, go ahead and ask

Answer 13

alright what would a graph for y=-|x-4| look like?

Answer 14

alrighty, let me start by going over something nice to remember about graphs, in general, they will take the form of\[Y=mx+b\]remember that m is the slope, and if m is negative, then the graph will be pointing downwards, or in other words, it will be increasing in the opposite direction,
b is the y-intercept that the graph will cross, meaning that you know for sure that your graph will go through the point (0,b)
now for absolute value functions, and any function where your x is surrounded by parenthesis, they will take the form of\[Y=m\left| x-h \right|+k\]where h will tell you if the graph is shifted to the right (positive) or to the left (negative) and k is again, your y-intercept, also again, if m is negative, the graph faces the opposite direction (downward in this case)

Answer 15

so, from what i've just told you, what can you tell me about the differences between your function\[Y=-\left| x-4 \right|\]and the original graph of\[Y= \left| x \right|\]

Answer 16

-4?

Answer 17

not quite, notice that the equation for a general absolute value graph i gave you was\[Y=m \left| x-h \right|+k\]the h is being subtracted from x, that means that in your case, your graph is being shifted 4 units to the right, another way to look at it is to only look at that part of the equation and set it equal to zero\[x-4=0\]then you solve for x and that tells you how the graph shifts on the x-axis
now since you have a negative in front of the absolute value, that means your graph will be opening downward

Answer 18

Would it be the same graph that you showed me before but one unit down?

Answer 19

the graph you get should look like this

Answer 20

something you should really remember, is what the original graph of\[Y=\left| x \right|\]looks like, and here's a picture of it
all you're doing is moving this graph based on the differences in the equation you are given and the ideas that i stated in previous posts

Answer 21

Oh my god. I get it now. I feel so dumb. Thanks for everything!